Answer:
Step-by-step explanation:
This is one of those formulas of algebra and geometry that you need to learn. If you know the radius and the height of a vertical cylinder, then its volume is equal to the (base area) times the (height), which, symbolically, are
V = (base area)(height)
Here,
V = πr²· h where πr² is the area of the base (which is a circle of radius r) and h is the height of the cylinder.
Look at the picture.
The polygon is a right-angled trapezoid.
The area is:

The points (-2,-1) and (6,-1) lie on the same horizontal line, so the distance between them is 6-(-2)=6+2=8. The length of a is 8 units.
The points (-2,5) and (3,5) lie on the same horizontal line, so the distance between them is 3-(-2)=3+2=5. The length of b is 5 units.
The points (-2,5) and (-2,-1) lie on the same vertical line, so the distance between them is 5-(-1)=5+1=6. The length of h is 6 units.

The area is
39 square units.
Step-by-step explanation:
if you are given an equation of a form y=kx+b, k is gradient and b is y-intercept
in c you can write this equation as y=(2x/3)-2,so gradient = 2/3 and y-intercept =-2
in e:6y=2x+3
y=x/3+1/2,gradient = 1/3, y-intercept=1/2