Question

Which is an equation of a circle with the center (-5, -7) and radius 6?

A.) (x - 5)^2 + (y - 7)^2 = 6

B.) (x + 7)^2 + (y + 5)^2 = 36

C.) (x + 5)^2 + (y + 7)^2 = 6

D.) (x + 5)^2 + (y + 7)^2 = 36

Answer 1

D You would change the symbols and times 6 by itself

Answer 2

Good morning ☕️

Answer:

D) (x + 5)² + (y + 7)² = 36

Explanation:

_______________________________________________________

Note : a circle with center (a , b) and radius r has an equation of the form:

(x - a)² + (y - b)² = r²

_______________________________________________________

and according to the provided informations

a = -5

b = -7

r = 6

therefore

the equation of the circle is :

`(x+5)^(2) +(y+7)^(2) =36`

________________

:)