Start off with 6x5 divided by 2. That is the area of the base. Then multiply that by 11. The answer is C. 165
Answer:
![x=-1,\displaystyle \frac{5}{3}](https://tex.z-dn.net/?f=x%3D-1%2C%5Cdisplaystyle%20%5Cfrac%7B5%7D%7B3%7D)
Step-by-step explanation:
Hi there!
![6x^2=4x+10](https://tex.z-dn.net/?f=6x%5E2%3D4x%2B10)
Move 6x^2 to the other side of the equation:
![0=-6x^2+4x+10](https://tex.z-dn.net/?f=0%3D-6x%5E2%2B4x%2B10)
Divide both sides by -2:
![0=3x^2-2x-5](https://tex.z-dn.net/?f=0%3D3x%5E2-2x-5)
Factor by grouping:
![0=3x^2+3x-5x-5\\0=3x(x+1)-5(x+1)\\0=(3x-5)(x+1)](https://tex.z-dn.net/?f=0%3D3x%5E2%2B3x-5x-5%5C%5C0%3D3x%28x%2B1%29-5%28x%2B1%29%5C%5C0%3D%283x-5%29%28x%2B1%29)
Apply the zero product property:
![3x-5 = 0\\3x=5\\\\x=\displaystyle \frac{5}{3}](https://tex.z-dn.net/?f=3x-5%20%3D%200%5C%5C3x%3D5%5C%5C%5C%5Cx%3D%5Cdisplaystyle%20%5Cfrac%7B5%7D%7B3%7D)
![x+1=0\\x=-1](https://tex.z-dn.net/?f=x%2B1%3D0%5C%5Cx%3D-1)
Therefore, x = -1, 5/3.
I hope this helps!
If you are doing a simple version, it goes up by 2, then 4, then 6, then 8. So the next ones are 31, 43, 57
Answer:
9.31
Step-by-step explanation: