The equation (x-2)^2 +(y+4)^2=r^2 represents circle o. the point c(2,0) lies on the circle. what is r, the length of the radius of circle o?

4

Step-by-step explanation:

(x - 2)^2 + (y + 4)^2 = r^2

You are given a point on the circle, (2, 0).

Plug in 2 for x and 0 for y.

The only variable remaining is r.

Solve for r which is the radius.

(2 - 2)^2 + (0 + 4)^2 = r^2

0^2 + 4^2 = r^2

16 = r^2

r = 4

The length of the radius is 4.

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

answer: all of the odd numbers were opened

the first person was the one that was opening all of the lockers. since one is odd, this causes all of the odd number lockers to be opened in the end.