The side that is parallel to the side that is 15 yards, the one that is 6 yards.
subtract 6 from 15 (15 - 6) and you get?
that is your answer.
M=2-(-6)/(-1)-(-2)=8
Y=8x+b
-6=8*(-2)+b
-6=-16+b
B=16-6=10
Y=8x+10
I hope my answer is help to you
cool man susisjdjdsjkssks didjsjjahssjskwkjxjdd
Answer:
<em>16.5 gallons per minute.</em>
Step-by-step explanation:
The given table is:
![\begin{center}\begin{tabular}{ c c } Time(minutes) & Water(gallons) \\ 1 & 16.50 \\ 1.5 & 24.75 \\ 2 & 33 \\\end{tabular}\end{center}](https://tex.z-dn.net/?f=%5Cbegin%7Bcenter%7D%5Cbegin%7Btabular%7D%7B%20c%20c%20%7D%20Time%28minutes%29%20%26%20Water%28gallons%29%20%5C%5C%201%20%26%2016.50%20%20%5C%5C%20%201.5%20%26%2024.75%20%20%5C%5C%20%20%202%20%26%2033%20%20%20%5C%5C%5Cend%7Btabular%7D%5Cend%7Bcenter%7D)
We are given this linear function in the form of table.
Let 't' be the time and W(t) be the function with which the gallons of water are changing with time.
We can use slope intercept form to find the equation.
![y=mx+c](https://tex.z-dn.net/?f=y%3Dmx%2Bc)
Slope of a function:
![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)
![x_2 = 1.5\\x_1 = 1\\y_2 = 24.75\\y_1 = 16.50](https://tex.z-dn.net/?f=x_2%20%3D%201.5%5C%5Cx_1%20%3D%201%5C%5Cy_2%20%3D%2024.75%5C%5Cy_1%20%3D%2016.50)
![m=\dfrac{24.75-16.50}{1.5-1}\\\Rightarrow m =16.5](https://tex.z-dn.net/?f=m%3D%5Cdfrac%7B24.75-16.50%7D%7B1.5-1%7D%5C%5C%5CRightarrow%20m%20%3D16.5)
This slope is the constant of proportionality.
i.e. the rate at which the number of gallons are changing per minute.
So, the answer is <em>16.5 gallons per minute.</em>
Step-by-step explanation:
![midpoint = ( \frac{ \frac{1}{3} - \frac{7}{3} }{2} , \frac{ \frac{5}{12} + \frac{7}{12} }{2} )](https://tex.z-dn.net/?f=midpoint%20%3D%20%28%20%5Cfrac%7B%20%5Cfrac%7B1%7D%7B3%7D%20%20-%20%20%5Cfrac%7B7%7D%7B3%7D%20%7D%7B2%7D%20%2C%20%5Cfrac%7B%20%5Cfrac%7B5%7D%7B12%7D%20%2B%20%20%5Cfrac%7B7%7D%7B12%7D%20%20%7D%7B2%7D%20%29)
![= ( \frac{ \frac{ - 6}{3} }{2} , \frac{ \frac{12}{12} }{2} )](https://tex.z-dn.net/?f=%20%3D%20%28%20%5Cfrac%7B%20%5Cfrac%7B%20-%206%7D%7B3%7D%20%7D%7B2%7D%20%2C%20%5Cfrac%7B%20%5Cfrac%7B12%7D%7B12%7D%20%7D%7B2%7D%20%29)
![= ( \frac{ - 2}{2} , \frac{1}{2} )](https://tex.z-dn.net/?f=%20%3D%20%28%20%5Cfrac%7B%20-%202%7D%7B2%7D%20%2C%20%20%5Cfrac%7B1%7D%7B2%7D%20%29)
![= ( - 1,0.5)](https://tex.z-dn.net/?f=%20%3D%20%28%20-%201%2C0.5%29)