Explanation Property used: (1) The asymptotes of a hyperbola: Hyperbola Asymptotes x 2 a 2 − y 2 b 2 = 1 y = − b a x and y = b a x y 2 a 2 − x 2 b 2 = 1 y = − a b x and y = a b x (2) Hyperbola with center at the origin: Transverse Axis Branches Open Foci Vertices Equation x -axis Left and right ( − c , 0 ) and ( c , 0 ) ( − a , 0 ) and ( a , 0 ) x 2 a 2 − y 2 b 2 = 1 , where c 2 = a 2 + b 2 y -axis Up and down ( 0 , − c ) and ( 0 , c ) ( 0 , − a ) and ( 0 , a ) y 2 a 2 − x 2 b 2 = 1 , where c 2 = a 2 + b 2 Graph: The given equation is 9 y 2 − x 2 = 81 . Divide both sides of the equation by 81. 9 y 2 − x 2 = 81 9 y 2 81 − x 2 81 = 81 81 y 2 9 − x 2 81 = 1 y 2 3 2 − x 2 9 2 = 1 This is of the form y 2 a 2 − x 2 b 2 = 1 , where a = 3 and b = 9

College Algebra: Graphs and Models (6th Edition)

6th Edition

ISBN: 9780134179032

Author: Marvin L. Bittinger, Judith A. Beecher, David J. Ellenbogen, Judith A. Penna

Publisher: PEARSON

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Chapter 7.3, Problem 19E

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The centre, the vertices, the foci, and the asymptotes of the hyperbola, then draw the graph.

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Chapter 7.3, Problem 18E

Chapter 7.3, Problem 20E

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Chapter 7 Solutions

College Algebra: Graphs and Models (6th Edition)

Ch. 7.1 - In Exercises 16, match the equation with one of...Ch. 7.1 - Prob. 2E Ch. 7.1 - In Exercises 16, match the equation with one of...Ch. 7.1 - In Exercises 16, match the equation with one of...Ch. 7.1 - Prob. 5E Ch. 7.1 - Prob. 6E Ch. 7.1 - Find the vertex, the focus, and the directrix....Ch. 7.1 - Prob. 8E Ch. 7.1 - Prob. 9E Ch. 7.1 - Find the vertex, the focus, and the directrix....

Ch. 7.1 - Prob. 11E Ch. 7.1 - Prob. 12E Ch. 7.1 - Prob. 13E Ch. 7.1 - Prob. 14E Ch. 7.1 - Find an equation of a parabola satisfying the...Ch. 7.1 - Find an equation of a parabola satisfying the...Ch. 7.1 - Find an equation of a parabola satisfying the...Ch. 7.1 - Find an equation of a parabola satisfying the...Ch. 7.1 - Prob. 19E Ch. 7.1 - Find an equation of a parabola satisfying the...Ch. 7.1 - Prob. 21E Ch. 7.1 - Find an equation of a parabola satisfying the...Ch. 7.1 - Find the vertex, the focus, and the directrix....Ch. 7.1 - Find the vertex, the focus, and the directrix....Ch. 7.1 - Prob. 25E Ch. 7.1 - Prob. 26E Ch. 7.1 - Prob. 27E Ch. 7.1 - Find the vertex, the focus, and the directrix....Ch. 7.1 - Prob. 29E Ch. 7.1 - Find the vertex, the focus, and the directrix....Ch. 7.1 - Prob. 31E Ch. 7.1 - Prob. 32E Ch. 7.1 - Prob. 33E Ch. 7.1 - Flashlight Mirror. A heavy-duty flashlight mirror...Ch. 7.1 - Ultrasound Receiver. Information Unlimited...Ch. 7.1 - Prob. 36E Ch. 7.1 - Prob. 37E Ch. 7.1 - Prob. 38E Ch. 7.1 - Consider the following linear equations. Without...Ch. 7.1 - Consider the following linear equations. Without...Ch. 7.1 - Prob. 41E Ch. 7.1 - Prob. 42E Ch. 7.1 - Prob. 43E Ch. 7.1 - Consider the following linear equations. Without...Ch. 7.1 - Prob. 45E Ch. 7.1 - Prob. 46E Ch. 7.1 - Suspension Bridge. The cables of a 200-ft portion...Ch. 7.2 - In Exercises 16, match the equation with one of...Ch. 7.2 - Prob. 2E Ch. 7.2 - Prob. 3E Ch. 7.2 - In Exercises 16, match the equation with one of...Ch. 7.2 - Prob. 5E Ch. 7.2 - Prob. 6E Ch. 7.2 - Prob. 7E Ch. 7.2 - Prob. 8E Ch. 7.2 - Prob. 9E Ch. 7.2 - Prob. 10E Ch. 7.2 - Prob. 11E Ch. 7.2 - Prob. 12E Ch. 7.2 - Prob. 13E Ch. 7.2 - Prob. 14E Ch. 7.2 - Prob. 15E Ch. 7.2 - Prob. 16E Ch. 7.2 - Prob. 17E Ch. 7.2 - Prob. 18E Ch. 7.2 - Prob. 19E Ch. 7.2 - Prob. 20E Ch. 7.2 - Prob. 21E Ch. 7.2 - Prob. 22E Ch. 7.2 - Find the vertices and the foci of the ellipse with...Ch. 7.2 - Prob. 24E Ch. 7.2 - Prob. 25E Ch. 7.2 - Prob. 26E Ch. 7.2 - Prob. 27E Ch. 7.2 - Prob. 28E Ch. 7.2 - Prob. 29E Ch. 7.2 - Prob. 30E Ch. 7.2 - Find an equation of an ellipse satisfying the...Ch. 7.2 - Prob. 32E Ch. 7.2 - Prob. 33E Ch. 7.2 - Prob. 34E Ch. 7.2 - Prob. 35E Ch. 7.2 - Find an equation of an ellipse satisfying the...Ch. 7.2 - Find the center, the vertices, and the foci of the...Ch. 7.2 - Prob. 38E Ch. 7.2 - Find the center, the vertices, and the foci of the...Ch. 7.2 - Find the center, the vertices, and the foci of the...Ch. 7.2 - Prob. 41E Ch. 7.2 - Prob. 42E Ch. 7.2 - Prob. 43E Ch. 7.2 - Prob. 44E Ch. 7.2 - Prob. 45E Ch. 7.2 - Prob. 46E Ch. 7.2 - Prob. 47E Ch. 7.2 - Prob. 48E Ch. 7.2 - Prob. 49E Ch. 7.2 - Prob. 50E Ch. 7.2 - Prob. 51E Ch. 7.2 - Prob. 52E Ch. 7.2 - Prob. 53E Ch. 7.2 - Prob. 54E Ch. 7.2 - Prob. 55E Ch. 7.2 - Prob. 56E Ch. 7.2 - Prob. 57E Ch. 7.2 - Prob. 58E Ch. 7.2 - Prob. 59E Ch. 7.2 - Prob. 60E Ch. 7.2 - Prob. 61E Ch. 7.2 - Prob. 62E Ch. 7.2 - Prob. 63E Ch. 7.2 - Prob. 64E Ch. 7.2 - Prob. 65E Ch. 7.2 - Prob. 66E Ch. 7.2 - Prob. 67E Ch. 7.2 - Find an equation of an ellipse satisfying the...Ch. 7.2 - Bridge Arch. A bridge with a semielliptical arch...Ch. 7.3 - Prob. 1E Ch. 7.3 - Prob. 2E Ch. 7.3 - Prob. 3E Ch. 7.3 - Prob. 4E Ch. 7.3 - Prob. 5E Ch. 7.3 - Prob. 6E Ch. 7.3 - Prob. 7E Ch. 7.3 - Prob. 8E Ch. 7.3 - Prob. 9E Ch. 7.3 - Prob. 10E Ch. 7.3 - Prob. 11E Ch. 7.3 - Prob. 12E Ch. 7.3 - Prob. 13E Ch. 7.3 - Prob. 14E Ch. 7.3 - Prob. 15E Ch. 7.3 - Prob. 16E Ch. 7.3 - Prob. 17E Ch. 7.3 - Prob. 18E Ch. 7.3 - Prob. 19E Ch. 7.3 - Prob. 20E Ch. 7.3 - Prob. 21E Ch. 7.3 - Prob. 22E Ch. 7.3 - Prob. 23E Ch. 7.3 - Prob. 24E Ch. 7.3 - Prob. 25E Ch. 7.3 - Find the center, the vertices, the foci, and the...Ch. 7.3 - Prob. 27E Ch. 7.3 - Prob. 28E Ch. 7.3 - Prob. 29E Ch. 7.3 - Prob. 30E Ch. 7.3 - Prob. 31E Ch. 7.3 - Prob. 32E Ch. 7.3 - Prob. 33E Ch. 7.3 - Prob. 34E Ch. 7.3 - Prob. 35E Ch. 7.3 - Prob. 36E Ch. 7.3 - Prob. 37E Ch. 7.3 - Prob. 38E Ch. 7.3 - Prob. 39E Ch. 7.3 - Prob. 40E Ch. 7.3 - Prob. 41E Ch. 7.3 - Prob. 42E Ch. 7.3 - Prob. 43E Ch. 7.3 - Prob. 44E Ch. 7.3 - Prob. 45E Ch. 7.3 - Prob. 46E Ch. 7.3 - Prob. 47E Ch. 7.3 - Solve. 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Then find the...Ch. 7 - Prob. 38RE Ch. 7 - Prob. 39RE Ch. 7 - Prob. 40RE Ch. 7 - Prob. 41RE Ch. 7 - Prob. 42RE Ch. 7 - Prob. 43RE Ch. 7 - Prob. 44RE Ch. 7 - Prob. 45RE Ch. 7 - Navigation. Two radio transmitters positioned 400...Ch. 7 - Prob. 1T Ch. 7 - Prob. 2T Ch. 7 - Prob. 3T Ch. 7 - Prob. 4T Ch. 7 - Prob. 5T Ch. 7 - Prob. 6T Ch. 7 - Prob. 7T Ch. 7 - Prob. 8T Ch. 7 - Prob. 9T Ch. 7 - Prob. 10T Ch. 7 - Prob. 11T Ch. 7 - Prob. 12T Ch. 7 - Prob. 13T Ch. 7 - Prob. 14T Ch. 7 - Prob. 15T Ch. 7 - Prob. 16T Ch. 7 - Prob. 17T Ch. 7 - Prob. 18T Ch. 7 - Prob. 19T Ch. 7 - Prob. 20T Ch. 7 - Graph the system of inequalities. Then find the...Ch. 7 - Prob. 22T Ch. 7 - Prob. 23T

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The centre, the vertices, the foci, and the asymptotes of the hyperbola, then draw the graph.

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The centre, the vertices, the foci, and the asymptotes of the hyperbola, then draw the graph.

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Chapter 7 Solutions