Answer:
So, the prime factors of 54 are written as 2 × 3 × 3 × 3 or 2x 33, where 2 and 3 are the prime numbers. i hoped it helps!
Step-by-step explanation:
Answer:
![\large\boxed{y=-\dfrac{1}{3}x+\dfrac{1}{3}}](https://tex.z-dn.net/?f=%5Clarge%5Cboxed%7By%3D-%5Cdfrac%7B1%7D%7B3%7Dx%2B%5Cdfrac%7B1%7D%7B3%7D%7D)
Step-by-step explanation:
The slope-intercept form of an equation of a line:
![y=mx+b](https://tex.z-dn.net/?f=y%3Dmx%2Bb)
m - slope
b - y-intercept
The formula of a slope:
![m=\dfrac{y_2-y_1}{x_2-x_1}](https://tex.z-dn.net/?f=m%3D%5Cdfrac%7By_2-y_1%7D%7Bx_2-x_1%7D)
===========================================
We have the points (-5, 2) and (4, -1). Substitute:
![m=\dfrac{-1-2}{4-(-5)}=\dfrac{-3}{9}=-\dfrac{1}{3}](https://tex.z-dn.net/?f=m%3D%5Cdfrac%7B-1-2%7D%7B4-%28-5%29%7D%3D%5Cdfrac%7B-3%7D%7B9%7D%3D-%5Cdfrac%7B1%7D%7B3%7D)
Put the value of the slope and the coordinates of the point (-5, 2) to the equation of a line:
![2=-\dfrac{1}{3}(-5)+b](https://tex.z-dn.net/?f=2%3D-%5Cdfrac%7B1%7D%7B3%7D%28-5%29%2Bb)
<em>subtract 5/3 from both sides</em>
![\dfrac{1}{3}=b\to b=\dfrac{1}{3}](https://tex.z-dn.net/?f=%5Cdfrac%7B1%7D%7B3%7D%3Db%5Cto%20b%3D%5Cdfrac%7B1%7D%7B3%7D)
Finally:
![y=-\dfrac{1}{3}x+\dfrac{1}{3}](https://tex.z-dn.net/?f=y%3D-%5Cdfrac%7B1%7D%7B3%7Dx%2B%5Cdfrac%7B1%7D%7B3%7D)
Answer:
none
Step-by-step explanation:
First of all, the answer is x=0. Second, lets go through the steps
First, Simplify both sides of the equation
Second Add 6x to Both Sides
Third, add 4 to both sides
Fourth, Divide both sides by 11.
You get 0/11, so X=0
Hope this helps!
This is one way that it can be done.