3) On as suspension bridge, the roadway is hung from cables hanging between support towers. The cable of on bridge is in the shape of a parabola that can be represented by the equation y = 0.1x2 – 7x +
150, where y is the height in feet of the cable above the roadway at the distance x from the support
tower
a. What is the closest the cable comes to the roadway?
b. How far from the support tower does this occur?

step-by-step explanation:

your mom

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.