An arch is in the shape of a parabola. it has a span of 100 feet and a maximum height of 25 ft.
find the equation of the parabola, and use that to determine the height of the arch 10 feet from the center. round to 2 decimal places.

the height of the arch 10 feet from the center is 24 feet

Step-by-step explanation:

An arch is in the shape of a parabola. It has a span of 100 feet, the vertex lies at the center 50 and the maximum height of 25 ft.

Vertex at (50,25)

vertex form of the equation is

, (h,k) is the center

the parabola starts at (0,0) that is (x,y)

subtract 25 from both sides

divide both sides by 2500

the height of the arch 10 feet from the center.

center is at 50, 10 feet from the center so x=40 and x=60

y=24

the height of the arch 10 feet from the center is 24 feet

x + 107

step-by-step explanation:

let's say that the number he had before the mistake was x. then, he will have 107 dollars more than this, so the answer is x + 107.