Answer:

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
Answer:
f = 4
Step-by-step explanation:
Step 1: Distribute
-11f = 7 - 14f + 5
Step 2: Combine like terms
-11f = 12 - 14f
Step 3: Add 14f to both sides
3f = 12
Step 4: Divide both sides by 3
f = 4
Answer:
radius: DF (it is a line segment drawn from the center of the circle to any point on the circle)
diameter: AC ( it is a straight line passing through the center of the circle and intersecting the circle at two distinct points)
chord : AB ( it is a line segment joining any two points on the circle)