The art museum had an exhibit named "Flower Power." Each of the 36 paintings featured colorful flowers. The paintings were hung in one row. The 12th painting had white, blue, and yellow flowers. Every 3rd painting after that had white flowers, every 4th one had blue flowers, and every 6th one had yellow flowers. How many paintings in all had all three colors of flowers? In which places were those paintings in the row?

the answer is mc^1-1jpeg

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.

the ordered pairs for the given function are of the form