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
Answer:
6x^2 - 10x inches ^2
Step-by-step explanation:
The area of a rectangle is
A = l*w
= (3x-5) * (2x)
= 6x^2 - 10x
29.8 ÷ 3 is 9.9333 repeating
the awnser is c 10 miles per hour