Answer:
see below
Step-by-step explanation:
0 = x^2 + 6x – 10
Add 10 to each side
10 = x^2-6x
Take the coefficient of x
-6
Divide by 2
-6/2 =-3
Square it
(-3)^2 =9
Add 9 to each side
10+9 = x^2-6x+9
We use -3 for the square term
19 = (x-3)^2
Take the square root of each side
±sqrt(19) = x-3
Add 3 to each side
3±sqrt(19) = x
Answer:
![Volume = 7200in^3](https://tex.z-dn.net/?f=Volume%20%3D%207200in%5E3)
Step-by-step explanation:
Given
--- base of the tank base
--- height of the tank base
--- height of the tank
Required:
Determine the volume of water needed for 6 inches below the top
First, calculate the area of the tank base.
![Area = \frac{1}{2}Bh](https://tex.z-dn.net/?f=Area%20%3D%20%5Cfrac%7B1%7D%7B2%7DBh)
![Area = \frac{1}{2}*24*20](https://tex.z-dn.net/?f=Area%20%3D%20%5Cfrac%7B1%7D%7B2%7D%2A24%2A20)
![Area = 12*20](https://tex.z-dn.net/?f=Area%20%3D%2012%2A20)
![Area = 240](https://tex.z-dn.net/?f=Area%20%3D%20240)
If the tank is filled 6 inches below the top, this means that the height of the water is H - 6.
So, the volume is:
![Volume = Area * (H - 6)](https://tex.z-dn.net/?f=Volume%20%3D%20Area%20%2A%20%28H%20-%206%29)
Substitute 240 for Area and 36 for H
![Volume = 240 * (36 - 6)](https://tex.z-dn.net/?f=Volume%20%3D%20240%20%2A%20%2836%20-%206%29)
![Volume = 240 * 30](https://tex.z-dn.net/?f=Volume%20%3D%20240%20%2A%2030)
![Volume = 7200in^3](https://tex.z-dn.net/?f=Volume%20%3D%207200in%5E3)
5.) -4b-15
6.) 13ac-4a+8b
7.) 4a-21b
8.) -14y
9.) -2x+21y
Answer:
1,700
Step-by-step explanation:hope it helps
Find the Greatest Common Factor (GCF)
GCF = 3
Factor out the GCF (You will write the GCF first and then in parenthesis, divide each term by the GCF)
3(15x/3 + 6/3)
Simplify each term in parenthesis
<u>3(5x + 2)</u>