Which choice gives the center and radius of the circle represented by the equation?

(x-7)^2 + (y+3)^2 = 25

A. (7, 3); 25
B. (–7, –3); 5
C. (7, –3); 5
D. (–7, 3); 5

Respuesta :

[tex](x-h)^2+(y-k)^2=r^2[/tex] is the equation of a circle centered at [tex](h,k)[/tex] with radius [tex]r[/tex].

Here [tex]h=7[/tex], [tex]k=-3[/tex], and [tex]r^2=25\implies r=5[/tex]. So the answer is (C)

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