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

a: (x-5)^2+(y+9)^2=12
b: (x-5)^2+(y+9)^2=144
c: (x+5)^2+(y-9)^2=144
d: (x+5)^2+(y-9)^2=12

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Respuesta :

Answer:

b.

Step-by-step explanation:

The general form for a circle is:

(x - a)^2 + (y - b)^2 = r^2

where (a, b) is the centre and  r = the radius.

So here (a, b) = (5, -9) and r = 12 giving:

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

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

berenizemartinez04

Answer:

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

Step-by-step explanation: