Use completing the square to rewrite the equation in the form (x-h)^2 +(y-k)^2 = r^2. state the center (h, k) and radius r of the circle 2x^2 + 2y^2 + 4x + 8y - 20 = 0

The equation is (x + 1)^2 + (y + 2)^2 = 15

Center is at  (-1, -2) and radius = √15

Step-by-step explanation:

2x^2 + 2y^2 + 4x + 8y - 20 = 0

Divide through by 2:-

x^2 + y^2 + 2x + 4y - 10 = 0

x^2 + 2x + y^2 + 4x = 10

Completing the square on the x and y terms:-

(x + 1)^2 - 1 + (y + 2)^2 - 4 = 10

(x + 1)^2 + (y + 2)^2 = 10 + 1 + 4

(x + 1)^2 + (y + 2)^2 = 15    

in mathematics, a function is a relationship between two variables such that the value of one of the variables, called the dependent variable, is determined by the value of the other variable, called the independent variable. there is a specific term we use to describe the set of independent variables of a function.

10 down (bang1)

5 up

5down (2)

2.5 up

2.5 down (3)

1.25 up

1.25 down (4)

now add them up : )

hoped i lol