12. A group of 4 friends went to the mones. In addition to their tickets, they bought a large
bag of popcorn to share for 56.25. The total
was 544.25.
a. Write and solve an equation to find the cost
of one movie ticket, m.
b. Draw a model to represent the equation

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.

d. you cannot tell because there are no values shown.