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:
-3, -7
Step-by-step explanation:
either x + 3 = 0 --> x = -3
or x + 7 = 0 --> x = -7
Answer:
6/4 = 1 1/2
1 2/4
12/8
Step-by-step explanation:
Answer: x=8
Step-by-step explanation:
Distribute 5(x) and 5(-2)
-12 + 6x = 6 + 5x + (-10) OR 5x - 10
Flip if you'd like
6x - 12 = 6 + 5x - 10
Combine like terms
6x−12=(5x)+(6+−10)
6x - 12 = 5x - 4
Subtract 5x from both 6 and 5
6x - 5x = 5x - 5x
5x cancels out, so you're left with x, 12, and -4
x - 12 = -4
Add 12 to 12 and -4
12 + 12 = -4 + 12
12 cancels out
-4 + 12 = 8
x = 8
An outside angle equals the sum of the two opposite inside angles.
So you have:
(5x-35) = 2x +58
Solve for X then you can calculate Angle B:
(5x-35) = 2x +58
Subtract 2x from both sides:
3x -35 = 58
Add 35 to both sides:
3x = 93
Divide both sides by 3:
X = 93 /3
x = 31
Now for Angle B, replace x with 31:
Angle B = 2x = 2(31) = 62 degrees.
