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