Stacy says the equation of a circle with a radius of 1/2 and a center at (5,-9) is (x-5)^ 2 -(y+9)^ 2 = 1/2 What mistake(s) did Stacy make and what is the correct equation? Stacy used the wrong equation and substituted the center incorrectly. The correct equation (x + 5) ^ 2 + (y - 9) ^ 2 = 1/2 Stacy used the wrong equation and substituted the radius incorrectly. The correct equation is (x - 5) ^ 2 + (y + 9) ^ 2 = 1/4. Stacy substituted the center and radius incorrectly. The correct equation is (x + 5) ^ 2 - (y - 9) ^ 2 = 1/4 Stacy is correct.

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter7: Conic Sections And Quadratic Systems
Section7.1: The Circle And The Parabola
Problem 87E
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Stacy says the equation of a circle with a radius of 1/2 and a center at (5,-9) is (x-5)^ 2 -(y+9)^ 2 = 1/2 What mistake(s) did Stacy make and what is the correct equation? Stacy used the wrong equation and substituted the center incorrectly. The correct equation (x + 5) ^ 2 + (y - 9) ^ 2 = 1/2 Stacy used the wrong equation and substituted the radius incorrectly. The correct equation is (x - 5) ^ 2 + (y + 9) ^ 2 = 1/4. Stacy substituted the center and radius incorrectly. The correct equation is (x + 5) ^ 2 - (y - 9) ^ 2 = 1/4 Stacy is correct.
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