The difference of the squares of two positive consecutive even integers is 44 find the integers use the fact that if X represent
s an even integer then X +2 represents the next consecutive even integers
1 answer:
Answer:
The 2 integers are 10 and 12
Step-by-step explanation:
Translate it into english
"The difference (some subtraction) of the squares of two positive consecutive integers (
and
) is (=) 44 (44)"
this means the following:
![(x+2)^2-x^2=44](https://tex.z-dn.net/?f=%28x%2B2%29%5E2-x%5E2%3D44)
solve for x to find the smaller integer
first, expand
![(x^2+4x+4)-x^2=44](https://tex.z-dn.net/?f=%28x%5E2%2B4x%2B4%29-x%5E2%3D44)
![x^2+4x+4-x^2=44](https://tex.z-dn.net/?f=x%5E2%2B4x%2B4-x%5E2%3D44)
![4x+4=44](https://tex.z-dn.net/?f=4x%2B4%3D44)
![4x=40](https://tex.z-dn.net/?f=4x%3D40)
![x=10\rightarrow x+2=10+2=12](https://tex.z-dn.net/?f=x%3D10%5Crightarrow%20x%2B2%3D10%2B2%3D12)
The 2 integers are 10 and 12
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Step-by-step explanation:
Answer:
-9
Step-by-step explanation:
-10 - (-1) = -9
When the ratio is 1:1, either is 1/(1+1) = 1/2 the total.
The length of one side is 4 V= a^3 so 4^3 is 64
Answer:723.202
Step-by-step explanation: