The new basketball arena will be in the shape of a rectangular prism, a box really. The dimensions will be 324 by 900 feet and 65 feet high. A cable will be stretched from an upper corner down to the opposite corner, cutting diagonally through the building as illustrated at right. How long will this cable be?

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.

7

step-by-step explanation: