Answer:
C. (X-9)^9 + (y+9)^2= 16
D. (X-9)^2 + (y+5)^2= 9
Step-by-step explanation:
The formula for a circle is
(X-h)^2 + (y-k)^2= r^2
where (h,k) is the center of the circle and r is the radius
The 4th quadrant is where x is positive and y is negative
Add r to the y coordinate of the center and if it is still negative, the circle is still completely in the 4th quadrant
A. (X-12)^2 + (y+0)^2= 72
The center is at 12,0 and the radius is sqrt(72) = 6sqrt(2)
This will be positive so it goes into the 1st quadrant
B. (X-2)^2 + (y+7)^2= 64
The center is at 2,-7 and the radius is 8
-7+8=1 so it goes into the 1st quadrant
C. (X-9)^9 + (y+9)^2= 16
The center is at 9,-9 and the radius is 4
-9+4 = -5 so it is completely in the 4th quadrant
D. (X-9)^2 + (y+5)^2= 9
The center is at 9,-5 and the radius is 3
-5+3 = -2 so it is completely in the 4th quadrant
