Answer: y
Step-by-step explanation:
Slope intercept form is written as
Y=mx+b, so you’d solve for the variable y
I’m gonna say -15 is the answer Fr prolly or 1
The correct option is Option 4: ![2a^2b^3 + 10ab^4](https://tex.z-dn.net/?f=2a%5E2b%5E3%20%2B%2010ab%5E4)
Step-by-step explanation:
Given
Length of box = l = ab
Width of box = w = a+5b
Height of box = h = 2b^2
The volume of a box is given by:
![V = Length*Width*Height\\V = l*w*h](https://tex.z-dn.net/?f=V%20%3D%20Length%2AWidth%2AHeight%5C%5CV%20%3D%20l%2Aw%2Ah)
Putting the values
![V = (ab)(a+5b)(2b^2)\\ = (ab)(2b^2)(a+5b)\\=(2ab^3)(a+5b)\\Distributive property\\=(2ab^3*a) + (2ab^3*5b)\\=2a^2b^3 + 10ab^4](https://tex.z-dn.net/?f=V%20%3D%20%28ab%29%28a%2B5b%29%282b%5E2%29%5C%5C%20%3D%20%28ab%29%282b%5E2%29%28a%2B5b%29%5C%5C%3D%282ab%5E3%29%28a%2B5b%29%5C%5CDistributive%20property%5C%5C%3D%282ab%5E3%2Aa%29%20%2B%20%282ab%5E3%2A5b%29%5C%5C%3D2a%5E2b%5E3%20%2B%2010ab%5E4)
Hence,
The correct option is Option 4: ![2a^2b^3 + 10ab^4](https://tex.z-dn.net/?f=2a%5E2b%5E3%20%2B%2010ab%5E4)
Keywords: Volume, Polynomials
Learn more about polynomials at:
#LearnwithBrainly
ANSWER
The is 10 is meters
EXPLANATION
The area of a tra-pezoid can be calculated using the formula;
![Area= \frac{1}{2} \times (sum \: of \: bases) \times height](https://tex.z-dn.net/?f=Area%3D%20%5Cfrac%7B1%7D%7B2%7D%20%5Ctimes%20%20%28sum%20%5C%3A%20of%20%5C%3A%20bases%29%20%5Ctimes%20height)
We substitute the values to get,
![95= \frac{1}{2} \times (7 + 12) \times height](https://tex.z-dn.net/?f=95%3D%20%5Cfrac%7B1%7D%7B2%7D%20%5Ctimes%20%20%287%20%2B%2012%29%20%5Ctimes%20height)
![2 \times 95= 19 \times height](https://tex.z-dn.net/?f=2%20%5Ctimes%2095%3D%2019%20%5Ctimes%20height)
![\frac{190}{19} = height](https://tex.z-dn.net/?f=%20%5Cfrac%7B190%7D%7B19%7D%20%20%3D%20height)
![height = 10](https://tex.z-dn.net/?f=height%20%3D%2010)
The height is 10 meters.
The answer is 45 because 45 is in the middle