Explanation Given: The path of earth is circle x 2 + y 2 = 16 , 000 , 000 with center of ( 0 , 0 ) and radius of 4000 miles, the path of meteor is hyperbolic 25 , 000 , 000 x 2 − 9 , 000 , 000 y 2 = 2.25 × 10 14 . Assume that x and y are both positive. Formula used: Addition method is used to solve the linear system of equations as well as nonlinear system of equations for one or more variables in which the two equations are added together to eliminate one variable. Calculation: Consider the system of equations, x 2 + y 2 = 16 , 000 , 000 …… (1) 25 , 000 , 000 x 2 − 9 , 000 , 000 y 2 = 2.25 × 10 14 …… (2) Multiply equation (1) by 9 , 000 , 000 and add to equation (2) gives, 9 , 000 , 000 x 2 + 9 , 000 , 000 y 2 = 144 × 10 12 25 , 000 , 000 x 2 − 9 , 000 , 000 y 2 = 225 × 10 12 _ x

MyLab Math with Pearson eText -- 24 MonthStandalone Access Card -- for Intermediate Algebra with Integrated Review

8th Edition

ISBN: 9780135910023

Author: Tobey, John, Slater, Jeffrey, Blair, Jamie , Crawford, Jenny

Publisher: PEARSON

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Vertices Of An Ellipse

In the study of the conic section of the geometry, An ellipse is a plane curve surrounding two focal points, or foci where the set of all locus of points in the plane has their sum of the distances to the two foci is constant. On the ellipse curve, it is…

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Chapter 9.5, Problem 27E

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To calculate: The strike point (x,y) of the given meteor path and earth path and explain it.,

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Chapter 9.5, Problem 26E

Chapter 9.5, Problem 28E

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MyLab Math with Pearson eText -- 24 MonthStandalone Access Card -- for Intermediate Algebra with Integrated Review

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If there is no real...Ch. 9 - Prob. 25RP Ch. 9 - Prob. 26RP Ch. 9 - Prob. 27RP Ch. 9 - Prob. 1T Ch. 9 - Prob. 2T Ch. 9 - Rewrite the equation in standard form. Identify...Ch. 9 - Prob. 4T Ch. 9 - Prob. 5T Ch. 9 - Prob. 6T Ch. 9 - Prob. 7T Ch. 9 - Prob. 8T Ch. 9 - Prob. 9T Ch. 9 - Prob. 10T Ch. 9 - Prob. 11T Ch. 9 - Prob. 12T Ch. 9 - Prob. 13T Ch. 9 - Prob. 14T Ch. 9 - Prob. 15T Ch. 9 - Prob. 16T

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The strike point ( x , y ) of the given meteor path and earth path and explain it.,

Solution Summary: The author explains how the hyperbola intersects the circle at (3290,2270).

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Chapter 9 Solutions