Find the center and radius of the circle with equation (x + 3)^2 + (y – 6)^2 = 100.

center         (-3,6)

radius(r)         10

Step-by-step explanation:

The center-radius form (it is really called standard form) of a circle is:

where is the center and is the radius.

Compare the following:

You should see the following:

.

.

.

.

So the center is (-3,6) and the radius is 10.

x² + 11x + 18 < 0  

[-11 ± sqrt(121 - 72)]/2 = (-11 ± 7)/2  

solution: (-9, -2)

step-by-step explanation: