Which of the following circles have their centers in the third quadrant? check all that apply. a.(x + 14)2 + (y - 14)2 = 84 b.(x + 9)2 + (y + 12)2 = 36 c.(x + 3)2 + (y - 6)2 = 44 d.(x + 16)2 + (y + 3)2 = 17

The circles that have their centers in the third quadrant are choices B and D. The original formula of a circle is (x - h)² + (y - k)² = r² where h is the value of the abscissa, k is the value of the ordinate and r is the radius of the circle. h and k are the exact coordinate of the center of the circle. So,

B.(x + 9)² + (y + 12)² = 36
[x - (-9)]² + [y - (-12)]² = 6²
C(-9, -12) 

D.(x + 16)² + ( y + 3)² = 17
[x - (-16)]² + [y - (-3)]² = √17
C(-16, -3)