Algebra and Trigonometry (10th Edition)
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; The bifurcation of the real number line occurs ... more
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; Distance is measured as the difference of the ... more
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; If a right triangle has legs , then the ... more
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; Recall the formula for the Pythagorean Theorem... more
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; A triangle with a base of and height has Area... more
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The triangles are congruent based on the Angle-... more
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x-coordinate/abscissa ; Convention of Cartesian ... more
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Quadrants ; Quadrant I: Quadrant II: Quadrant III... more
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Midpoint ; The definition of the midpoint of a ... more
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Distance is always treated as an absolute value, ... more
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The point is in quadrant II, as quadrant II is ... more
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The average of two numbers is found by taking the ... more
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This would be true for a point in Quadrant I. ; ... more
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This is the Distance Formula. ; This could result ... more
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The set of all points would form a vertical line ... more
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The set of all points would form a horizontal line... more
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; Use the distance formula to determine the ... more
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Use the distance formula to determine the distance... more
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Use the distance formula to determine the distance... more
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Use the distance formula to determine the distance... more
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Use the distance formula to determine the distance... more
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Use the distance formula to determine the distance... more
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Use the distance formula to determine the distance... more
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Use the distance formula to determine the distance... more
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Use the distance formula to determine the distance... more
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Use the distance formula to determine the distance... more
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; Use the Distance Formula. ; more
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; Use the Distance Formula. ; more
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Find the distance for line ; Find the distance for... more
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; Plot the points and connect them to form a ... more
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Plot the points and connect them to form a ... more
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Plot the points and connect them to form a ... more
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Plot the points and connect them to form a ... more
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Plot the points and connect them to form a ... more
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; Use the Midpoint Formula. ; ; Plug in the ... more
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; Use the Midpoint Formula. ; ; Plug in the ... more
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; Use the Midpoint Formula. ; ; Plug in the ... more
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; Use the Midpoint Formula. ; Plug in the points ... more
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; Use the Midpoint Formula. ; Plug in the points... more
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; Use the Midpoint Formula. ; ; Plug in the ... more
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; Use the Midpoint Formula. ; Plug in the points... more
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; Use the Midpoint Formula. ; Plug in the points ... more
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The point now lies at ; Shift the point three ... more
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The point now lies at ; Shift the point two units ... more
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; Construct a right triangle by drawing a ... more
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; Construct a right triangle by drawing a ... more
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; Use the Midpoint Formula to find point B's ... more
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$\boxed{P_2 = (1,2)}$ ; Use the Midpoint Formula ... more
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; Use the Midpoint Formula to find point B's ... more
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Use the Midpoint Formula to find the Midpoints. ; ... more
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; An equilateral triangle has equal side lengths... more
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; Use the Midpoint Formula to find the midpoint ... more
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; Use the Distance Formula to find the length of ... more
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; Use the Distance Formula to find the length of ... more
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; Use the Distance Formula to find the length of ... more
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; Use the Distance Formula to find the length of ... more
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Treat this diagonal as the hypotenuse of an ... more
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Treat this diagonal as a hypotenuse of an ... more
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; Since the two vehicles will be departing at a ... more
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; Change the units in the problem so that the ... more
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This result matches the reported value of when ... more
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This result underestimate the true poverty ... more
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A Cartesian plane is a coordinate system that ... more
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; To find the domain, find all values of x that ... more
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; Factor by Grouping. ; Solve for the values of ... more
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; FOIL the Binomials. ; Combine like terms. ... more
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; Distribute both sides of the inequality and ... more
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; Distribute the terms. ; Combine like terms. ; ... more
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; Solve for . ; more
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intercepts ; The x-intercepts are points along the... more
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; When , then the point has to lie somewhere on ... more
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y-axis ; If a function is symmetric about the y-... more
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; If a function is symmetric about the y-axis, ... more
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; If a function is symmetric about the origin, ... more
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The y-intercept has a general form of , so ... more
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The x-coordinate would give the x-intercept and ... more
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A graph with points at and would be symmetric ... more
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Y-intercepts have no x-coordinate other than . ; ... more
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This would reflect a symmetry with respect to the... more
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; Plug in point into the equation to see if the ... more
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; Plug in point into the equation to see if the ... more
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; Plug in point into the equation to see if the ... more
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; Plug in point into the equation to see if the ... more
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; Plug in point into the equation to see if the ... more
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; Plug in point into the equation to see if the ... more
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Find the x-intercept by plugging in . ; Find the ... more
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Find the x-intercept by plugging in . ; Find the y... more
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Find the x-intercept by plugging in . ; Find the ... more
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Find the x-intercept by plugging in . ; Find the y... more
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Find the x-intercept by plugging in . ; Find the y... more
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Find the x-intercept by plugging in . ; Find the y... more
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Find the x-intercept by plugging in . ; Find the... more
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Find the x-intercept by plugging in . ; Find the ... more
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Find the x-intercept by plugging in . ; Find the ... more
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Find the x-intercept by plugging in . ; Find the ... more
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Find the x-intercept by plugging in . ; Find the y... more
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Find the x-intercept by plugging in . ; Find the y... more
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Find the point that is symmetric with respect to ... more
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Find the point that is symmetric with respect to ... more
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Find the point that is symmetric with respect to ... more
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Find the point that is symmetric with respect to ... more
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Find the point that is symmetric with respect to ... more
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Find the point that is symmetric with respect to ... more
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Find the point that is symmetric with respect to ... more
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Find the point that is symmetric with respect to ... more
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Reflect the point given across the y-axis. Recall ... more
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Reflect the point given across the x-axis. Recall ... more
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Reflect the point given across the origin. Recall ... more
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Reflect the point given across the y-axis. Recall ... more
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Symmetric with respect to the x-axis. ; Find the ... more
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Symmetric with respect to the x-axis. ; Find the x... more
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Symmetric with respect to the origin. ; Find the x... more
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Symmetric with respect to the origin. ; Find the x... more
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Symmetric with respect to the y-axis. ; Find the... more
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Symmetric with respect to the y-axis. ; Find the x... more
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Symmetric with respect to the x-axis, y-axis, and ... more
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Symmetric with respect to the x-axis, y-axis, and ... more
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Not symmetric about either axis or origin. ; Find... more
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Symmetric with respect to the y-axis. ; Find the x... more
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Not symmetric with respect to either axis or the ... more
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Symmetric with respect to the y-axis. ; Find the x... more
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Symmetric with respect to the origin. ; Find the x... more
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Symmetric with respect to the origin. ; Find the x... more
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Symmetric with respect to the origin. ; Find the ... more
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Symmetric with respect to the origin. ; Find the x... more
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The given graph is the parent function of a cubic ... more
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The graph is of a sideways parabola, that is, the ... more
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The graph is of the parent function of the square ... more
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The graph is the parent function of a hyperbola. ... more
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; Plug in and solve for . ; Factor the ... more
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; Plug in and solve for . ; Factor the ... more
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; If an equation has a graph that is symmetric ... more
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; If an equation has a graph that is symmetric ... more
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; If an equation has a graph that is symmetric ... more
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; If an equation has a graph that is symmetric ... more
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A graph where the pattern of the graph can be ... more
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The -intercept located at bounces off the -axis as... more
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; The x-intercepts of the graph would be and ... more
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These points cannot be connected using a straight ... more
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Prove by cases. ; Case 1: Suppose the equation is ... more
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A graph containing the points given can be ... more
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; Plug in the given values. ; Perform the ... more
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; Factor out the constant term . ; Factor the ... more
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; Rewrite the radical as a product of two ... more
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; Add the term to both sides. ; Factor the ... more
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Since slope is defined as Rise over Run, or , and ... more
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; Plug in to get ; Plug in to get ; more
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The general form of an equation is written as or... more
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The slope would be . The given equation is not ... more
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Plug in the given values to see if the point ... more
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; Two lines are parallel if and only if the ... more
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; Two lines are parallel if and only if the ... more
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; A perpendicular slope for would be defined as... more
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Perpendicular slopes are reciprocals of one ... more
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The difference in the x and y-values does not ... more
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A positive slope would slant up going from left to... more
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The line would not have an x-intercept, since ... more
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Use the formula for finding the slope of a line ... more
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Use the formula for finding the slope of a line ... more
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Use the formula for finding the slope of a line ... more
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Use the formula for finding the slope of a line ... more
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Use the formula for finding the slope of a line ... more
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Use the formula for finding the slope of a line ... more
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Use the formula for finding the slope of a line ... more
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Use the formula for finding the slope of a line ... more
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Plug in the point and slope to write the point-... more
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Plug in the point and slope to write the point-... more
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Plug in the point and slope to write the point-... more
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Plug in the point and slope to write the point-... more
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Plug in the point and slope to write the point-... more
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Plug in the point and slope to write the point-... more
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If the slope is undefined, the line is vertical ... more
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If the slope is undefined, the line is vertical ... more
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; Use the slope in conjunction with the point ... more
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; Use the slope in conjunction with the point ... more
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; Use the slope in conjunction with the point ... more
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; Use the slope in conjunction with the point ... more
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; Use the slope in conjunction with the point ... more
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; Use the slope in conjunction with the point ... more
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; Find the slope, given the two points on the ... more
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; Find the slope, given the two points from the ... more
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; Find the slope, given the two points from the ... more
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; Find the slope, given the two points from the ... more
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; The line is parallel to the line given by . ... more
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; The line is parallel to the line given by . ... more
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; The slope is the negative reciprocal of the ... more
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; The slope is the negative reciprocal of the ... more
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; Plug the given point and the slope into slope-... more
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; Plug the given point and the slope into slope-... more
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; Plug the given point and the slope into slope-... more
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; Plug the given point and the slope into slope-... more
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; Find the slope, given the two points. ; Plug ... more
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; Find the slope, given the two points. ; Plug ... more
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; Plug the given y-intercept and slope into slope... more
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; Plug the given y-intercept and slope into slope... more
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; Find the slope, given the two points. ; Plug in... more
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; Find the slope, given the two points. ; Plug in... more
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; An undefined slope has no horizontal 'Run' ... more
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; An undefined slope has no horizontal 'Run' ... more
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; A Horizontal line has a slope of , since there ... more
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; A vertical line has an slope, since there is ... more
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; Parallel lines have the same slope. ; Plug the ... more
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; Parallel lines have the same slope. ; ; ... more
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; Parallel lines have the same slope. ; Plug the ... more
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; Parallel lines have the same slope. ; Plug the ... more
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; The line described by the equation is vertical... more
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; Parallel lines have the same slope. ; A line ... more
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; Perpendicular lines have slopes that are ... more
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; Perpendicular lines have slopes that are ... more
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; Perpendicular lines have slopes that are ... more
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; Perpendicular lines have slopes that are ... more
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; The line is a vertical line, so a line ... more
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; The line is a horizontal line, so a line ... more
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Find the slope. Since the equation is given in ... more
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Find the slope. Since the equation is given in ... more
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Find the slope. Transform the equation into slope-... more
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Find the slope. Transform the equation into slope... more
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Find the slope. Since the equation is given in ... more
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Find the slope. Since the equation is given in ... more
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Find the slope. Transform the equation into slope-... more
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Find the slope. Transform the equation into slope-... more
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Find the slope. Transform the equation into slope-... more
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Find the slope. Transform the equation into slope-... more
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Find the slope. Transform the equation into slope-... more
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Find the slope. Transform the equation into slope-... more
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The slope of a vertical line is undefined, since ... more
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The slope of a horizontal line is equal to zero, ... more
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The slope of a horizontal line is equal to zero, ... more
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The slope of a vertical line is undefined, since ... more
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Find the slope. Transform the equation into slope... more
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Find the slope. Transform the equation into slope-... more
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Find the slope. Transform the equation into slope-... more
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Find the slope. Transform the equation into slope... more
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; The x-axis is located at , which is the ... more
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; The x-axis is located at , which is the ... more
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; The graph shown has a y-intercept located at , ... more
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; The graph shown has a y-intercept located at , ... more
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; The graph shown has a y-intercept located at , ... more
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; The graph shown has a y-intercept located at , ... more
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Calculate the slope made by the line that connects... more
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Calculate the slope made by the line that connects... more
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Calculate the slope made by the line that connects... more
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Calculate the slope made by the line that ... more
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; Write a linear equation based on the Cost in... more
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; Write a linear equation based on the Cost in ... more
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; Write a linear equation based on the Cost ... more
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; Write a linear equation based on the weekly ... more
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Graph the two corresponding values with as the ... more
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The lines are perpendicular. ; Find the slope ... more
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These lines are parallel to each other, each with ... more
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This equation has a negative slope . ; This ... more
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This equation has a negative slope and positive ... more
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These equations have differing slopes . ; These ... more
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These equations have slopes whose product is . ; ... more
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There is no consensus on the origin of the letter ... more
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The of a road is the slope of the road written as... more
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The pitch of a roof or staircase is the vertical '... more
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Not every line can be expressed in slope-intercept... more
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Vertical and Horizontal lines do not have y-... more
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They occupy the same space in the plane. ; Lines ... more
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They occupy the same space in the plane. ; Since... more
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The two lines cannot have the same y-intercept. ; ... more
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The two lines cannot have the same x-intercept. ; ... more
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Slope-intercept form ; Slope-intercept form for ... more
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The slope . ; The student was correct about the ... more
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; Simplify the negative exponents inside the ... more
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; Use the Pythagorean Theorem . ; Take the square... more
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; Move the constants to one side of the equation... more
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; Move the constants to one side of the equation... more
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add ; Completing the square will always require ... more
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; Take the square root of both sides. ; Add the ... more
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This form could result in no graph, such as if the... more
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radius ; The radius of a circle connects the ... more
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The radius of a circle with the equation in the ... more
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The center of a circle with equation form of is . ... more
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The radius for the equation of this circle would ... more
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To go from the general form of an equation to the ... more
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Center: Radius: Equation: ; The center of the ... more
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Center: Radius: Equation: ; The center of the ... more
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Center: Radius: Equation: ; Use the midpoint ... more
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Center: Radius: Equation: ; Use the midpoint ... more
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Write the standard form for the equation of a ... more
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Write the standard form for the equation of a ... more
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Write the standard form for the equation of a ... more
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Write the standard form for the equation of a ... more
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Write the standard form for the equation of a ... more
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Write the standard form for the equation of a ... more
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Write the standard form for the equation of a ... more
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Write the standard form for the equation of a ... more
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Write the standard form for the equation of a ... more
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Write the standard form for the equation of a ... more
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; Find the radius as the distance from the ... more
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; Find the radius as the distance from the ... more
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; Find the radius as the distance from the ... more
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; Find the radius as the distance from the center... more
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; Find the radius by finding the diameter ... more
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; Find the radius by finding the diameter given ... more
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; Find the radius as the distance from the center... more
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; Find the radius as the distance from the center... more
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Use the standard form for the equation of a circle... more
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; Find the diameter of the circle given the ... more
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$\text{Area} = 36(\pi - 2)~\text{units}^2$ ; Find ... more
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; Draw the ferris wheel with the center located ... more
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; Draw the ferris wheel with the center located ... more
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; Write the equation in general form to ... more
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; Find the equation of the line from the center ... more
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; Find the standard form for the equation of ... more
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; Use the slope of the tangent line to find ... more
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; Find the center of the first circle by ... more
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; Since the circle is rolling along the x-axis... more
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; The equation to find the circumference is . ... more
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This equation represents a circle with the center ... more
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This equation represents a circle centered at to ... more
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All points on a circle are equidistant from the ... more
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The center is , not . ; The standard form for the ... more
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cm cm ; Find the area of the circle. ; ; Find ... more
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; Multiply using the Distributive Property. ; ... more
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; Square both sides and expand. ; Combine like ... more
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; Write both rates as a ratio of vans loaded to ... more
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; When , then is directly proportional to . ; more
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If varies directly with , then , where is a non-... more
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is proportional to solely, so the variation is ... more
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is not similarly proportional to and , since is... more
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; Given the relationship that varies directly ... more
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; Given the relationship that varies directly ... more
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; Given the relationship that varies directly ... more
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; Given the relationship that varies directly ... more
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; Given the relationship that varies inversely ... more
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; Given the relationship that varies inversely ... more
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; Given the relationship that varies directly ... more
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; Given the relationship that varies jointly ... more
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; Given the relationship that varies directly ... more
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; Given the relationship that varies directly ... more
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; Given the relationship that varies directly ... more
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; Given the relationship that varies directly ... more
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; Plug in the values given into the general form ... more
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; Plug in the values given into the general form ... more
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; Plug in the values given into the general form ... more
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; Plug in the values given into the general form... more
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; Plug in the values given into the general form ... more
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; Plug in the values given into the general form ... more
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; Relate the monthly payment p to the amount ... more
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; Relate the monthly payment p to the amount ... more
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; Find the constant of proportionality . ; Plug ... more
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; Find the constant of proportionality . ; Plug ... more
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; Find the constant of proportionality . ; Plug ... more
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; Find the constant of proportionality . ; Plug ... more
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; Find the constant of proportionality . ; Plug ... more
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; Find the constant of proportionality . ; Plug ... more
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; Find the constant of proportionality . ; Find ... more
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; Find the constant of proportionality . ; Find ... more
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; Find the constant of proportionality . ; Find ... more
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; Find the constant of proportionality . ; Find ... more
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; Write the general form for the joint variation... more
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; Write the general form for the joint variation... more
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; Find the constant of proportionality . ; Find ... more
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; Find the constant of proportionality . ; Find ... more
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; Find the constant of proportionality . ; Find ... more
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; Write the general formula given for the volume... more
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; Find the constant of proportionality . ; Find ... more
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; Find the constant of proportionality . ; Find ... more
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; Find the constant of proportionality . ; Find ... more
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; Find the constant of proportionality k. ; Find ... more
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Law of Orbits: The planets move in elliptical ... more
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A car salesman's commission varies directly with ... more
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Supply and Demand is an example of a relationship ... more
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The cost of making a tire is jointly proportional ... more
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; Group together like terms using the associative... more
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; Find the Least Common Denominator (LCD) in ... more
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; Since exponent operations are commutative, ... more
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; Multiply the numerator and denominator by the ... more
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Create a table and plug in values of to find . ; ... more
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; Use the image provided and list the points ... more
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Symmetric about the x-axis. ; Find the x-... more
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Symmetric about the x-axis, y-axis, and the ... more
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Symmetric about the y-axis. ; Find the x-... more
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Symmetric about the origin. ; Find the x-... more
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No symmetry. ; Find the x-intercepts by ... more
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; Plug the coordinates of center, and the radius ... more
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; Plug the coordinates of the center, and the ... more
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Center ; ; Intercepts: ; Since the equation is ... more
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Center ; ; Intercepts: ; Find the center of the ... more
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Center: ; ; Intercepts: ; Find the center of the ... more
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; Plug the given point and slope into slope-... more
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; A vertical line has an slope since there is no... more
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; Find the slope, given the two points. ; Plug a ... more
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; Find the slope given the two points. ; Plug a ... more
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; Parallel lines have the same slope. ; Plug a ... more
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; Perpendicular lines have slopes that are ... more
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Find the slope by solving for y . ; ; Find the y... more
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; Find the slope by solving for . ; Find the y... more
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; Find the x-intercept by setting into the given... more
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; Find the x-intercept by setting into the given... more
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Create a table of and values. ; XY-2-8-1-1001128... more
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Create a table of and values. ; XY00114293 ; more
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Write the equation in point-slope form and graph... more
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Use the Distance Formula to find the length of ... more
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; Use the Distance Formula to find the length of ... more
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; Find the slope of . ; Find the slope of . ; more
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; Relate the monthly payment to the amount ... more
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; Find the constant of proportionality . ; Find ... more
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; Find the constant of proportionality . ; Find ... more
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; Use the Distance Formula. ; more
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; Use the Midpoint Formula. ; more
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Create a table of and values. ; XY-2-5-1-80-92-... more
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Create a table of and values. ; YX-24-11001124... more
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Symmetric about the y-axis. ; Find the x-... more
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; Plug the given point and slope into slope-... more
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; Write the standard form of the equation of a ... more
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; Find the center of the circle by writing the ... more
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; Find the slope of the line from the standard ... more
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; Find the constant of proportionality . ; Find ... more
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; Add to both sides. ; Divide both sides by . ; more
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; Use "trial and error" to find and such that... more
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; To factor the polynomial, list the integer ... more
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; Solve using the quadratic formula. ; more
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; Solve using the quadratic formula. ; more
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; Square both sides and solve for x. ; more
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; To solve for x in the absolute value, solve ... more
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; Square both sides and write the quadratic ... more
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; Take the square root of both sides. ; Factor ... more
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; Use the Quadratic Equation to solve for x. ; more
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or ; Solve the inequality. ; more
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or ; Solve the inequality. Subtract the constant... more
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or ; Split the absolute value inequality into two... more
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or ; Split the absolute value inequality into two... more
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; Use the distance formula to determine the ... more
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Plug in the ordered pair into the equation. ; Plug... more
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Create a table of x and y values. ; XY-2-8-1-... more
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; Find the slope given the two points. ; Plug a ... more
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; Perpendicular lines have slopes that are ... more
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Center and radius ; Find the center and radius of... more