Simplify 1/3 (12x+6y) - 1/6 (12x+6y)
show your work

Step-by-step explanation:

we have

Factor the term (12x+6y)

Remember that

substitute

Applying distributive property

Simplify

(x-2)^2 + (y+2)^2 = 25

Step-by-step explanation:

First calculate the center using the midpoint formula

Mpq=(xP/2 + xQ/2) ; (yP/2 +yQ/2)

=(- 2/2 + 6/2) ; (1/2 + -5/2)

=(2;-2) coordinates of the center

Use the general formula (x-a)^2 + (y-a)^2 =r^2 to find equation and the radius.

Substitute the coordinates of the center

(x-2)^2 + (y+2)^2 = r^2

Substitute the point (-2,1) for the value of r^2

(-2-2)^2 + (1+2)^2 = r^2

r^2 = 25

The equation is (x-2)^2 + (y+2)^2 = 25