Answer:
The distance between the points (2, 7) and (2, 15) is 8.
Step-by-step explanation:
<u>What is the Distance between Two Points?</u>
For any two points there is exactly one line segment connecting them. The distance between two points is the length of the line segment connecting them. Note that the distance between two points is always positive. Segments that have equal length are called congruent segments.
How to Solve:
Formula:
Putting Values:





Answer:
A cylinder with a volume of 27
cubic inches and a height of 3 inches
Step-by-step explanation:
- Volume of a cylinder =
r²h
(where r is the radius and h is the height)
Volume = 27
Height = 3
⇒ 27
= 3
r²
⇒ 9 = r²
⇒ r = √9 = 3
So height = radius
Answer:
x = 1
Step-by-step explanation:
1 + x = 2
Subtract 1 form both sides,
1 + x - 1 = 2 - 1
x = 1
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