Answer:
36
Step-by-step explanation:
equilateral triangle has all sides So,
perimeter = a+b+c= 12+12+12=36
Answer:
![\large\boxed{y=-\dfrac{2}{3}x-\dfrac{13}{3}}](https://tex.z-dn.net/?f=%5Clarge%5Cboxed%7By%3D-%5Cdfrac%7B2%7D%7B3%7Dx-%5Cdfrac%7B13%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)
From the graph we have two points (-5, -1) and (-2, -3).
<em>Look at the picture</em>.
Calculate the slope:
![m=\dfrac{-3-(-1)}{-2-(-5)}=\dfrac{-2}{3}=-\dfrac{2}{3}](https://tex.z-dn.net/?f=m%3D%5Cdfrac%7B-3-%28-1%29%7D%7B-2-%28-5%29%7D%3D%5Cdfrac%7B-2%7D%7B3%7D%3D-%5Cdfrac%7B2%7D%7B3%7D)
Put it to the equation in slope-intercept form:
![y=-\dfrac{2}{3}x+b](https://tex.z-dn.net/?f=y%3D-%5Cdfrac%7B2%7D%7B3%7Dx%2Bb)
We can't read the y-intercept from the graph. Therefore put the coordinates of the point (-5, -1) to the equation and calculate <em>b</em>:
![-1=-\dfrac{2}{3}(-5)+b](https://tex.z-dn.net/?f=-1%3D-%5Cdfrac%7B2%7D%7B3%7D%28-5%29%2Bb)
<em>subtract 10/3 from both sides</em>
![-\dfrac{3}{3}-\dfrac{10}{3}=b\to b=-\dfrac{13}{3}](https://tex.z-dn.net/?f=-%5Cdfrac%7B3%7D%7B3%7D-%5Cdfrac%7B10%7D%7B3%7D%3Db%5Cto%20b%3D-%5Cdfrac%7B13%7D%7B3%7D)
Finally:
![y=-\dfrac{2}{3}x-\dfrac{13}{3}](https://tex.z-dn.net/?f=y%3D-%5Cdfrac%7B2%7D%7B3%7Dx-%5Cdfrac%7B13%7D%7B3%7D)
They have to be straight line objects with no curves
3 gallon.................