Question

the equation below describes a circle. what are the coordinates of the circle?
(x+5)^2 + (y+7)^2 = 21^2

Answer 1

Coordinates: (-5,-7)

Answer 2

Answer:

center = (-5, -7)

radius = 21

Step-by-step explanation:

Equation of a circle

$(x-a)^2+(y-b)^2=r^2$

where:

• (a, b) is the center
• r is the radius

Given equation:

$(x+5)^2 + (y+7)^2 = 21^2$

Comparing the given equation with the standard equation of a circle:

• center = (-5, -7)
• radius = 21