Question
drag the tiles to the correct boxes to complete the pairs. not all tiles will be used.
this set of coordinate pairs represents the speed of a car as it enters the expressway. use this information to identify the
function's equation, rate of change, and initial value.
(2,30) and (6,60)
tiles
f(x) = 7.5x + 15
f(x) = 7.5x
15
pairs
equation of function
rate of change
initial value of function

answer: 1) twenty-seven times y

              2) twenty-seven multiplied by y

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.