The equation of a circle is given below. (x+12)^{2}+(y-9)^{2} = 35(x+12)
2
+(y−9)
2
=35left parenthesis, x, plus, 12, right parenthesis, squared, plus, left parenthesis, y, minus, 9, right parenthesis, squared, equals, 35
What is its center

Center is

Step-by-step explanation:

Given: Equation of a circle is

To find: center of the circle

Solution:

A circle is a locus of all points which are at equidistant from the fixed point (center).

Equation of a circle is of form where represents center of the circle and r denotes radius of the circle.

Given equation is

Compare this equation with

Center is

1 3 5

step-by-step explanation:

i took the test: )

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