1. Given the equation shown, what is the coordinates of the center? *
(x – 12)2 + (y + 5)2 = 100

A.(10,5)
B.(-12,5)
C(5,-12)
D(12,-5)

The center of the circle is  D (12, -5)

Step-by-step explanation:

To solve this problem, we will first write the standard equation of a circle then compare it with the equation given.

The standard equation of a circle is given by;

(x - a)² + (y-b)²  =  r²  (1)

where (a,b)   is the  center of the circle   and r is the radius of the circle

From the question, the equation of the circle given is;

(x – 12)² + (y + 5)² = 100 (2)

Comparing equation 1 and equation 2

The center of the circle is (12, -5)

D is the correct option

123

step-by-step explanation:

agngel