Let L, H, W be the length, height, and width.
Using the 3 clues they gave us, we have:
L x W = 12
L x H = 8
W x H = 6
Our goal is to figure out volume: L x W x H
One way of solving this is to just randomly plug in numbers which should be easy to do for this problem.
Another way is to use substitution.
From first equation: L = 12/W
Plug that into second equation:
12/W x H = 8,
H = (8/12)W = (2/3)W
Plug that into the third equation:
W x (2/3)W = 6,
W x W = 9
W must be equal to 3.
And since we know that L x H = 8
Then L x H x W = (8) x 3 = 24 cm^3
Given:
To find:
The values of a and b.
Solution:
We have,
It can be written as
Add and subtract square of half of coefficient of x in the parenthesis.
![[\because (x+y)^2=x^2+2xy+y^2]](https://tex.z-dn.net/?f=%5B%5Cbecause%20%28x%2By%29%5E2%3Dx%5E2%2B2xy%2By%5E2%5D)
On comparing both sides, we get
Therefore, the value of a is 1 and the value of b is -8.
Answer:
7 teams, hoped this helped :)
Step-by-step explanation:
10.31991744 meters per second
