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.

(0,,,0)

step-by-step explanation:

the table of x and y values is shown in the attached pic(part of question)

we have to decide according that graph

given points are (0, 0) (–1, 0), (2, 0)

when we graph these points on graph they show an increasing line as shown in the attached pic