When students enter the library, they are able to walk anywhere in the library where a bookcase is not present. All 4 bookcases are the same size. The diagram below shows the dimensions of the library and bookcases. What is the area in square feet of the available carpet for students to walk?

A. 680 ft2

B. 60 ft2

C. 620 ft2

D. 114 ft2

center (1,3) with radius 6

step-by-step explanation:

we must complete the square to find the center and radius of the circle.

first make sure the x and y squared terms have 1 as their coefficients. we also make sure x and y terms together.

we now create space between the x and y terms with parenthesis.

we complete the square by taking the middle terms -2x and the -6y - divide each and square them.

we add the squares to both sides.

simplify.

and write the quadratics in factored form.

the center is (h,k) or (1,3). the radius is the square root of 36 which is 6.

c(x)= 6x + 3

step-by-step explanation: