Answer:
Explained
Step-by-step explanation:
let there be
any four integers.
when dividing any integer by 3 there 3 remainders {0,1,2}
Now since there are 4 numbers and 3 integers certainly there be 2 numbers with same remainder when divided by 3.
that is there exist ![a_{i} and a_{j}](https://tex.z-dn.net/?f=a_%7Bi%7D%20and%20a_%7Bj%7D)
![a_{i}=3m+r](https://tex.z-dn.net/?f=a_%7Bi%7D%3D3m%2Br)
![a_{j}=3n+r](https://tex.z-dn.net/?f=a_%7Bj%7D%3D3n%2Br)
where m and n are integers and ![r\in{0,1,2}](https://tex.z-dn.net/?f=r%5Cin%7B0%2C1%2C2%7D)
![a_{i}-a_{j}=3m+r-3n-r=3(m+n)](https://tex.z-dn.net/?f=a_%7Bi%7D-a_%7Bj%7D%3D3m%2Br-3n-r%3D3%28m%2Bn%29)
thus their difference is divisible by 3
The slope is 1. meaning up 1 and over 1
the y intercept is (0, -2)
when x is 1 y is -1 (1, -1)
when x is 2 y is 0 ( 2, 0)
hope that helps
The standard form of a polynomial contains no like terms and the exponents are in descending order (largest to smallest).
Answer:
To find the volume, you multiply length times width times height.
3x2x4
voluume = 24
Step-by-step explanation:
Answer:
30
Step-by-step explanation:
the 60 degrees can be transferred to the side right next to the 4x. that means 4x+60=180, 4x=120, x=30