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 10.1 - Distance and Midpoint Formulas; Circles - Exercise Set - Page 765: 36

Answer

$\\(x+3)^2+(y-5)^2=9$

Work Step by Step

RECALL: The standard form of the equation of a circle with a center of $(h, k)$ and a radius of $r$ units is: $(x-h)^2 + (y-k)^2 = r^2$ The given circle has its center at $(-3, 5)$ and a radius of 3 units. Use the standard form above where $h=-3$, $k=5$ and $r=3$ to obtain: $[x-(-3)]^2 + (y-5)^2 =3^2 \\(x+3)^2+(y-5)^2=9$
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