N A rectangular patio has an area of 2x2 + 13x − 24 ft2. Use factoring to find
possible dimensions of the patio. The patio is
to be enlarged so that each dimension is 2 ft
greater than it was originally. What are the
new dimensions of the patio? What is the new
area of the patio?

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.

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f(y)= y^2-10y+25

step-by-step explanation: