Explanation The system of equation is, { x 2 + 2 y 2 = 12 x y = 4 Rewrite the equation x y = 4 in terms of y . x y = 4 y = 4 x Substitute 4 x for y in x 2 + 2 y 2 = 12 and obtain the value of x. x 2 + 2 y 2 = 12 x 2 + 2 ( 4 x ) 2 = 12 x 2 + ( 32 x 2 ) = 12 x 4 + 32 = 12 x 2 On further simplification, x 4 − 12 x 2 + 32 = 0 u 2 − 12 u + 32 = 0 [ ∵ u = x 2 ] ( u − 4 ) ( u − 8 ) = 0 Again simplified as, u − 4 = 0 or u − 8 = 0 u = 4 or u = 8 x 2 = 4 or x 2 = 8 x = ± 2 or x = ± 2 2 Substitute these values of x in x y = 4 . If x = − 2 , then the value of y is, x y = 4 ( − 2 ) y = 4 y = − 2 If x = 2 , then the value of y is, x y = 4 ( 2 ) y = 4 y = 2 If x = − 2 2 , then the value of y is, x y = 4 ( − 2 2 ) y = 4 y = − 2 If x = 2 2 , then the value of y is, x y = 4 ( 2 2 ) y = 4 y = 2 Then, the pairs are ( − 2 , − 2 ) , ( 2 , 2 ) , ( − 2 2 , − 2 ) and ( 2 2 , 2 ) . Check the correctness of the values as follows. Substitute ( − 2 , − 2 ) in x 2 + 2 y 2 = 12 . x 2 + 2 y 2 = 12 ( − 2 ) 2 + 2 ( − 2 ) 2 = ? 12 4 + 8 = ? 12 12 = 12 True Similarly, substitute ( − 2 , − 2 ) in x y = 4

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ISBN: 2810000027802

Author: BITTINGER

Publisher: PEARSON

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Chapter 7, Problem 30RE

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Chapter 7, Problem 29RE

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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. [6.1], [6.3], [6.5], [6.6] 3x + 2y = 1, 2x...Ch. 7.3 - Prob. 49E Ch. 7.3 - Prob. 50E Ch. 7.3 - Prob. 53E Ch. 7.4 - Prob. 1E Ch. 7.4 - Prob. 2E Ch. 7.4 - Prob. 3E Ch. 7.4 - Prob. 4E Ch. 7.4 - Prob. 5E Ch. 7.4 - Prob. 6E Ch. 7.4 - Prob. 7E Ch. 7.4 - Prob. 8E Ch. 7.4 - Prob. 9E Ch. 7.4 - Prob. 10E Ch. 7.4 - Prob. 11E Ch. 7.4 - Prob. 12E Ch. 7.4 - Prob. 13E Ch. 7.4 - Prob. 14E Ch. 7.4 - Prob. 15E Ch. 7.4 - Prob. 16E Ch. 7.4 - Prob. 17E Ch. 7.4 - Prob. 18E Ch. 7.4 - Prob. 19E Ch. 7.4 - Prob. 20E Ch. 7.4 - Prob. 21E Ch. 7.4 - Prob. 22E Ch. 7.4 - Prob. 23E Ch. 7.4 - Prob. 24E Ch. 7.4 - Prob. 25E Ch. 7.4 - Prob. 26E Ch. 7.4 - Prob. 27E Ch. 7.4 - Prob. 28E Ch. 7.4 - Prob. 29E Ch. 7.4 - Prob. 30E Ch. 7.4 - Prob. 31E Ch. 7.4 - Prob. 32E Ch. 7.4 - Prob. 33E Ch. 7.4 - Prob. 34E Ch. 7.4 - Prob. 35E Ch. 7.4 - Prob. 36E Ch. 7.4 - Solve. x2+y2+6y+5=0,x2+y22x8=0 Ch. 7.4 - Prob. 38E Ch. 7.4 - Prob. 39E Ch. 7.4 - Prob. 40E Ch. 7.4 - Prob. 41E Ch. 7.4 - Prob. 42E Ch. 7.4 - Prob. 43E Ch. 7.4 - Prob. 44E Ch. 7.4 - Prob. 45E Ch. 7.4 - Prob. 46E Ch. 7.4 - Prob. 47E Ch. 7.4 - Prob. 48E Ch. 7.4 - Prob. 49E Ch. 7.4 - Prob. 50E Ch. 7.4 - Prob. 51E Ch. 7.4 - Prob. 52E Ch. 7.4 - Prob. 53E Ch. 7.4 - Prob. 54E Ch. 7.4 - Prob. 55E Ch. 7.4 - Prob. 56E Ch. 7.4 - In Exercises 5558, determine whether the statement...Ch. 7.4 - Prob. 58E Ch. 7.4 - Prob. 59E Ch. 7.4 - Prob. 60E Ch. 7.4 - Prob. 61E Ch. 7.4 - Prob. 62E Ch. 7.4 - Prob. 63E Ch. 7.4 - Prob. 64E Ch. 7.4 - Prob. 65E Ch. 7.4 - Prob. 66E Ch. 7.4 - Prob. 67E Ch. 7.4 - Prob. 68E Ch. 7.4 - Prob. 69E Ch. 7.4 - Prob. 70E Ch. 7.4 - Prob. 71E Ch. 7.4 - Prob. 72E Ch. 7.4 - Prob. 73E Ch. 7.4 - Prob. 74E Ch. 7.4 - Prob. 75E Ch. 7.4 - Prob. 76E Ch. 7.4 - Graph the system of inequalities. Then find the...Ch. 7.4 - Prob. 78E Ch. 7.4 - Prob. 79E Ch. 7.4 - Graph the system of inequalities. Then find the...Ch. 7.4 - Graph the system of inequalities. Then find the...Ch. 7.4 - Prob. 82E Ch. 7.4 - Prob. 83E Ch. 7.4 - Prob. 84E Ch. 7.4 - Prob. 85E Ch. 7.4 - Prob. 86E Ch. 7.4 - Prob. 87E Ch. 7.4 - Prob. 88E Ch. 7.4 - Prob. 89E Ch. 7.4 - Prob. 90E Ch. 7.4 - Find an equation of an ellipse centered at the...Ch. 7.4 - Prob. 92E Ch. 7.4 - Prob. 93E Ch. 7.4 - Prob. 94E Ch. 7.4 - Prob. 95E Ch. 7.4 - Prob. 96E Ch. 7.4 - Prob. 97E Ch. 7.4 - Prob. 98E Ch. 7.4 - Prob. 99E Ch. 7.4 - Prob. 100E Ch. 7.4 - Prob. 101E Ch. 7.4 - Prob. 102E Ch. 7.4 - Prob. 103E Ch. 7.4 - Prob. 104E Ch. 7.4 - Prob. 105E Ch. 7.4 - Prob. 106E Ch. 7.4 - Prob. 107E Ch. 7.4 - Prob. 108E Ch. 7 - Determine whether the statement is true or false....Ch. 7 - Determine whether the statement is true or false....Ch. 7 - Prob. 3MC Ch. 7 - Determine whether the statement is true or false....Ch. 7 - In Exercises 512, match the equation with one of...Ch. 7 - In Exercises 512, match the equation with one of...Ch. 7 - In Exercises 512, match the equation with one of...Ch. 7 - In Exercises 512, match the equation with one of...Ch. 7 - In Exercises 512, match the equation with one of...Ch. 7 - In Exercises 512, match the equation with one of...Ch. 7 - In Exercises 512, match the equation with one of...Ch. 7 - In Exercises 512, match the equation with one of...Ch. 7 - Find the vertex, the focus, and the directrix of...Ch. 7 - Prob. 14MC Ch. 7 - Prob. 15MC Ch. 7 - Prob. 16MC Ch. 7 - Prob. 17MC Ch. 7 - Prob. 18MC Ch. 7 - Prob. 19MC Ch. 7 - Prob. 20MC Ch. 7 - Prob. 21MC Ch. 7 - Prob. 22MC Ch. 7 - Prob. 23MC Ch. 7 - Prob. 24MC Ch. 7 - Prob. 25MC Ch. 7 - Determine whether the statement is true or false....Ch. 7 - Prob. 2RE Ch. 7 - Prob. 3RE Ch. 7 - Prob. 4RE Ch. 7 - Prob. 5RE Ch. 7 - Prob. 6RE Ch. 7 - Prob. 7RE Ch. 7 - Prob. 8RE Ch. 7 - Prob. 9RE Ch. 7 - Prob. 10RE Ch. 7 - Prob. 11RE Ch. 7 - Prob. 12RE Ch. 7 - Prob. 13RE Ch. 7 - Prob. 14RE Ch. 7 - Prob. 15RE Ch. 7 - Prob. 16RE Ch. 7 - Prob. 17RE Ch. 7 - Prob. 18RE Ch. 7 - Prob. 19RE Ch. 7 - Prob. 20RE Ch. 7 - Prob. 21RE Ch. 7 - Prob. 22RE Ch. 7 - Prob. 23RE Ch. 7 - Prob. 24RE Ch. 7 - Prob. 25RE Ch. 7 - Prob. 26RE Ch. 7 - Prob. 27RE Ch. 7 - Prob. 28RE Ch. 7 - Prob. 29RE Ch. 7 - Prob. 30RE Ch. 7 - Prob. 31RE Ch. 7 - Prob. 32RE Ch. 7 - Prob. 33RE Ch. 7 - Prob. 34RE Ch. 7 - Prob. 35RE Ch. 7 - Prob. 36RE Ch. 7 - Graph the system of inequalities. 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 system of equations { x 2 + 2 y 2 = 12 x y = 4 .

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Chapter 7 Solutions