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

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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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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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