The volume for a pyramid is
![V= \frac{1}{3} Bh](https://tex.z-dn.net/?f=V%3D%20%5Cfrac%7B1%7D%7B3%7D%20Bh)
where B is the area of the base and h is height. We are given the volume and the dimensions of the base and just need to find the height.
![V= \frac{1}{3} (25*18)h](https://tex.z-dn.net/?f=V%3D%20%5Cfrac%7B1%7D%7B3%7D%20%2825%2A18%29h)
. Simplifying a bit on the right we have 525 = 150h. Dividing both sides by 150 gives us a height of 3.5
Distribute invisible-1 to the 2x^2+4x-12
5x^2+3-2x^2-4x+12
group like terms
5x^2-2x^2-4x+3+12
3x^2-4x+15
See in the explanation:
<h2>
Explanation:</h2>
Here we have the following system of linear equations in two variables:
![(1) \ 2x+7y=-8 \\ \\ (2) \ 2x-5y=-1](https://tex.z-dn.net/?f=%281%29%20%5C%202x%2B7y%3D-8%20%5C%5C%20%5C%5C%20%282%29%20%5C%202x-5y%3D-1)
So if you graph these two equations you will get two lines with different slopes. The question is:
<em>What is the result of subtracting the second equation from the first?</em>
So this can be written mathematically as:
![2x+7y-(2x-5y)=-8-(-1) \\ \\ Breaking \ parentheses: \\ \\ 2x+7y-2x+5y=-8+1 \\ \\ \\ Combining 'like 'terms: \\ \\ 2x-2x+7y+5y=-7 \\ \\ 12y=-7 \\ \\ y=-\frac{7}{12}](https://tex.z-dn.net/?f=2x%2B7y-%282x-5y%29%3D-8-%28-1%29%20%5C%5C%20%5C%5C%20Breaking%20%5C%20parentheses%3A%20%5C%5C%20%5C%5C%202x%2B7y-2x%2B5y%3D-8%2B1%20%5C%5C%20%5C%5C%20%5C%5C%20Combining%20%27like%20%27terms%3A%20%5C%5C%20%5C%5C%202x-2x%2B7y%2B5y%3D-7%20%5C%5C%20%5C%5C%2012y%3D-7%20%5C%5C%20%5C%5C%20y%3D-%5Cfrac%7B7%7D%7B12%7D)
So the result of subtracting the second equation from the first is:
![12y=-7](https://tex.z-dn.net/?f=12y%3D-7)
and from this we can calculate y.
<h2>Learn more:</h2>
Methods for solving System of Linear Equations:
brainly.com/question/10185505
#LearnWithBrainly
Answer:
Step-by-step explanation:
The slope is 3, count from one point to o other. If you go from -2,0 up to -1,3 you go up 3 and over one so the slope is 3