Bill works at the movie theater and his grandmother's store. The total number of hours Bill works in a week is represented by the following constraints. The number of hours he works at the movie theater is less than three times the number of hours he works at his grandmother's store.
Bill works fewer than 30 total hours at the two jobs during the week.
When x is the number of hours Bill works at the movie theater and y is the number of hours he works at his grandmother's store, the situation is modeled by this system of inequalities.

step-by-step explanation:

jbjuiuhuhuuy

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.