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: 38



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 $(-5, -3)$ and a radius of $\sqrt3$ units. Use the standard form above where $h=-5$, $k=-3$, and $r=\sqrt5$ to obtain: $[x-(-5)]^2 + [y-(-3)]^2 =(\sqrt5)^2 \\(x+5)^2+(y+3)^2=5$
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