Which equation represents a circle that contains the point -5,-3 and has a center at -2,1

(x + 2)² + (y - 1)² = 25

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius.

The radius is the distance from the centre to a point on the circle.

Calculate r using the distance formula

r = √ (x₂ - x₁ )² + (y₂ - y₁ )²

with (x₁, y₁ ) = ((- 2, 1) and (x₂, y₂ ) = (- 5, - 3)

r =

  =

  =

  = = 5

Thus

(x -(- 2))² + (y - 1)² = 5², that is

(x + 2)² + (y - 1)² = 25 ← equation of circle

location: point 0

step-by-step explanation:

well, -8 to 10 on a number line is 18 spaces.

1/9 of 18 is 2.

so, 4/9 of 18 must be 8.

8 spaces from -8 (a) is 0.

so, 4/9 of the way from -8 to 10 is 0!

the answer is a

step-by-step explanation: