On tuesday a local hamburger shop sold a combined total of 504 hamburgers and cheeseburgers. the number of cheeseburgers sold was 3 times the number of hamburgers sold. how many hamburgers were sold on tuesday?

  126

Step-by-step explanation:

The number of hamburgers sold was 1/4 of the total number of burgers sold, so was ...

  (1/4)(504) = 126

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.