The equation is x^2+(y+5)^2=81. find the center and radius

The center is (0,-5) and the radius is 9

Step-by-step explanation:

The equation of a circle can be given by

(x-h)^2 + (y-k) ^2 = r^2

where (h,k) is the center and r is the radius

(x-0)^2 + (y- -5) ^2 = 9^2

The center is (0,-5) and the radius is 9

b

step-by-step explanation:

the equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (0, 4) and (x₂, y₂ ) = (3, - 5) ← 2 points on the line

m = = = - 3

with m = - 3 and (a, b) = (3, - 5), then

y - (- 5) = - 3(x - 3), that is

y + 5 = - 3(x - 3) → b