The short sides of a rectangle are 2 inches. the long sides of the same rectangle are three less than an unknown number of inches.

two students are told that the perimeter of this rectangle is at least 30 inches. the first student says, "the length of the long side must be at least 13 inches". the second student says, "the unknown number must be at least 10 inches". which of the following statements is true?

a. the first student is correct.

b. the second student is correct.

c. both students are correct.

d. neither student is correct.

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.