Answer:
![{x}^{2} + 9x + 20](https://tex.z-dn.net/?f=%20%7Bx%7D%5E%7B2%7D%20%20%2B%209x%20%2B%2020)
Step-by-step explanation:
1) Use FOIL method: (a + b) (c + d) = ac + ad + bc + bd.
![{x}^{2} + 5x + 4x + 20](https://tex.z-dn.net/?f=%20%7Bx%7D%5E%7B2%7D%20%20%2B%205x%20%2B%204x%20%2B%2020)
2) Collect like terms.
![{x}^{2} + (5x + 4x) + 20](https://tex.z-dn.net/?f=%20%7Bx%7D%5E%7B2%7D%20%20%2B%20%285x%20%2B%204x%29%20%2B%2020)
3) Simplify.
![{x}^{2} + 9x + 20](https://tex.z-dn.net/?f=%20%7Bx%7D%5E%7B2%7D%20%20%2B%209x%20%2B%2020)
<em><u>Therefor</u></em><em><u>,</u></em><em><u> </u></em><em><u>the</u></em><em><u> </u></em><em><u>answer</u></em><em><u> </u></em><em><u>is</u></em><em><u> </u></em><u>x</u><u>²</u><u> </u><u>+</u><u> </u><u>9x</u><u> </u><u>+</u><u> </u><u>20</u>.
The volume of the shaded region is 1650 cubic feet.
39
Divide 78 by 2 to get 39 and add in to the number
Answer:
The height of the cylinder is 4x units.
Step-by-step explanation:
volume of a cylinder = nr^2h
n = 22/7
r = radius = x/2
Let illustrate with an example. If the diameter of a cylinder is 6 and the volume is 6^3 = 216. The radius = 6/2 = 3
n3^2 x h = 216
h = 216/9 = 24
so the height is 4 times the diameter
Area of the base = nr^2
1/2^2 x x = 1/4 pi x^2