Greg works at Home Depot. He plans to mix gallon cans of purple passion and gallon cans of magenta madness. Greg has exactly 32 units of blue dye and 54 units of red dye. Each gallon of purple passion requires 4 units of blue dye and 1 unit of red dye. Each gallon of magenta madness requires 1 unit of blue dye and 6 units of red dye. Purple passion sells for $15 a can and magenta madness sells for $10 a can. How many gallons of each type of paint should Greg mix to maximize his profit?

11 feet 6 inches and 8 feet 6 inches

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.

too hard the other guy did it

step-by-step explanation: