WILL MARK BRAINLIESTPLEASE IT IS URGENTComplete the square to rewrite the following equation. Identify the center and radius of the circle. You must show all work and calculations to receive credit. x2 + 2x + y2 + 4y = 20

center (-1,-2) radius 5

Step-by-step explanation:

Given

x^2 + 2x + y^2 + 4y = 20

complete the square

x^2 + 2x + (2/2)^2   + y^2 + 4y + (4/2)^2  = 20 + (2/2)^2 + (4/2)^2

simplify

x^2 + 2x + 1   + y^2 + 4y + 4  = 25

factor

(x + 1)^2 + ( y + 2)^2 = 25

put into standard form : (x-h)^2 + (y-k)^2 = r^2

(x + 1)^2 + ( y + 2)^2 = 5^2

center (-1,-2) radius 5

-3

step-by-step explanation:

a drawing really does here:

so i draw the horizontal line y=2 and the vertical line x=-2 at this intersection i put b (this is where my right angle is going to be).   so point b is at (-2,2).   point a is 5 units long and is also on y=2 so this point has to be (3,2) or (-7,2) -doesn't matter i will go with (3,2).

now we know c is at (-2,y) we don't know the y yet bet we know that c is on x=-2.

we have the area of the triangle is .5bh=12.5

we know the base length is 5 (ab)

we have the height is (2-y) if you look at your

plug in

.5(5)(2-y)=12.5

solve for y to get the y-coordinate for c

2.5(2-y)=12.5

divide both sides by 2.5 giving:

2-y=5

now subtract 2 on both sides

-y=3

y=-3