A circle is centered at (5, - 9) and has a radius of 12. Which of the following is the equation for this circle? (x - 5) 2 + (y + 9) 2 = 12 (x - 5) 2 + (y + 9) 2 = 144 (x + 5) 2 + (y - 9) 2 = 144 (x + 5) 2 + (y - 9) 2 = 12

Question

Mathematics

Autumn Branch

18 May, 19:55

A circle is centered at (5, - 9) and has a radius of 12. Which of the following is the equation for this circle? (x - 5) 2 + (y + 9) 2 = 12 (x - 5) 2 + (y + 9) 2 = 144 (x + 5) 2 + (y - 9) 2 = 144 (x + 5) 2 + (y - 9) 2 = 12

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Answers (1)

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Camille Cantu · Answer 1

(x-5) ^2 + (y+9) ^2 = 144

Step-by-step explanation:

The equation of a circle can be written as

(x-h) ^2 + (y-k) ^2 = r^2

where (h, k) is the center and r is the radius

(x-5) ^2 + (y - - 9) ^2 = 12^2

(x-5) ^2 + (y+9) ^2 = 12^2

(x-5) ^2 + (y+9) ^2 = 144