Which of the following circles lie completely within the third quadrant?
check that all apply

a. (x+12)^2 + (y+9)^2 =9
b. (x+5)^2 + (y+0)^2 = 7
c. (x+3)^2 + (y+9)^2 = 82
d. (x+7)^2 + (y+7)^2 = 4

A and D should be checked.

Step-by-step explanation:

The first one.

It's center is (-12, - 9) and it has a radius of sqrt(9) = 3 The 12 on the x axis will guarantee that the most in either direction in the x direction is (-15,-9) going left from the center and (-9,-9) going right of the center point.

The two points for up and down are (-12, -12) and (-12,-6)

A graph is included below. The red circle is shown as being entirely in quad 3. It is red in color. It should be checked.

B is Blue and it is shown to be 1/2 in quad 3

C is in green. It is 3/4 in quad 3, but not all of it is there.

D is dark blue and it is quad 3 so it should be checked.

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