Assuming you mean the central angle, semicircles have central angles of
.
The Answer Is g(x)=1/3x^2
Use (3,3) to find the equation.
3^2x1/3=3
Meaning y or g(x) equals 3. Which is true.
Write a system of equations:
x + y = 125
20x + 15y = 2100
Solving:
x = 125 - y
20(125 - y) + 15y = 2100
2500 - 20y + 15y = 2100
2500 - 5y = 2100
-5y = 2100 - 2500
-5y = -400
y=80
x + 80 = 125
x = 125 - 80
x = 45
The first charges 45$ per hour and the second charges 80$ per hour
The two parabolas intersect for

and so the base of each solid is the set

The side length of each cross section that coincides with B is equal to the vertical distance between the two parabolas,
. But since -2 ≤ x ≤ 2, this reduces to
.
a. Square cross sections will contribute a volume of

where ∆x is the thickness of the section. Then the volume would be

where we take advantage of symmetry in the first line.
b. For a semicircle, the side length we found earlier corresponds to diameter. Each semicircular cross section will contribute a volume of

We end up with the same integral as before except for the leading constant:

Using the result of part (a), the volume is

c. An equilateral triangle with side length s has area √3/4 s², hence the volume of a given section is

and using the result of part (a) again, the volume is

Answer:
x=-2 and y=-3
Step-by-step explanation:
2x+4y=-16
-2(-2x+2y=-2)
2x+4y=-16
4x-4y=4
6x=-12
x=-2
2x+4y=-16
2(-2)+4y=-16
-4+4y=-16
+4 +4
4y=-12
y=-3