10. MGSE8.SP.1, MGSE8.SP.2: Three students are analyzing bean seedlings grown for a science experiment. The scatter plot shows the heights of the seedlings and the number of leaves on each plant.
Part A: Each student draws a different trend line for the data. Explain whether or not each student’s trend line represents the data.

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.

the answer for the second equation is (4,0)

the correct answer would be c