10.) Kevin works in the shipping department of a toy manufacturer. Toy cars weigh 7 pounds a piece and are shipped in a container that weighs 6 pounds when empty. Toy trucks, which weigh 6
pounds apiece, are shipped in a container weighing 14 pounds. When packed with toys and
ready for shipment, both kinds of containers have the same number of toys and the same
weight. What is the number of toys? What is the weight of each container?

step-by-step explanation:

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.