Intermediate Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-894-7
ISBN 13: 978-0-13417-894-3

Chapter 10 - Section 10.2 - The Ellipse - Exercise Set - Page 780: 66

Answer

See the explanation below.

Work Step by Step

Since, the green graph represents a circle whose radius is equal to $b$ of the given equation $\dfrac{x^2}{25}+\dfrac{y^2}{9}=1$. Thus, the equation of a green circle is: $x^2+y^2=9$ Now, the blue graph represents a circle whose radius is equal to $a$ of the given equation $\dfrac{x^2}{25}+\dfrac{y^2}{9}=1$. Thus, the equation of a green circle is: $x^2+y^2=25$
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