The equation of a circle x^2 + y^2 + 6y=7. what are the coordinates of the center and the length of the radius of the circle?

a) center (0,3) and radius 4
b) center (0,-3) and radius 4
c) center (0,3) and radius 16
d) center (0,-3) and radius 16

Option B) center and radius

Step-by-step explanation:

we know that

The equation of the circle into center radius form is equal to

where

(h,k) is the center of the circle

r is the radius of the circle

In this problem we have

so

convert to center radius form

Complete the square. Remember to balance the equation by adding the same constants to each side

Rewrite as perfect squares

The center is the point

The radius is units

the smallest possible measurement of the width is 14 feet

step-by-step explanation:

let's assume length of parallelogram is 'l'

width of parallelogram is 'w'

the perimeter of a parallelogram must be no less than 40 feet

so, we get

we are given

length of parallelogram is 6 feet

so,

l=6

we can plug it

now, we can solve for w

subtract both sides by 12

divide both sides by 2

and we get

so,

the smallest possible measurement of the width is 14 feet