Answer:
![\boxed{m = - \frac{33}{14} }](https://tex.z-dn.net/?f=%5Cboxed%7Bm%20%3D%20-%20%5Cfrac%7B33%7D%7B14%7D%20%7D)
.
Step-by-step explanation:
Use the form below
![\boxed{\boxed{m = \frac{y_2 - y_1}{x_2 - x_1} }}](https://tex.z-dn.net/?f=%5Cboxed%7B%5Cboxed%7Bm%20%3D%20%5Cfrac%7By_2%20-%20y_1%7D%7Bx_2%20-%20x_1%7D%20%7D%7D)
Where
is a slope
and
are the point of the line
.
So, the slope is
![(\frac{1}{3} ,~ -1) \to x_1 = \frac{1}{3} ~and~y_1 = -1](https://tex.z-dn.net/?f=%28%5Cfrac%7B1%7D%7B3%7D%20%2C~%20-1%29%20%5Cto%20x_1%20%3D%20%5Cfrac%7B1%7D%7B3%7D%20~and~y_1%20%3D%20-1)
![(-2,~ \frac{9}{2} ) \to x_2 = -2~and~y_2 = \frac{9}{2}](https://tex.z-dn.net/?f=%28-2%2C~%20%5Cfrac%7B9%7D%7B2%7D%20%29%20%5Cto%20x_2%20%3D%20-2~and~y_2%20%3D%20%5Cfrac%7B9%7D%7B2%7D)
.
![m = \frac{\frac{9}{2} -(-1)}{-2-\frac{1}{3} }](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7B%5Cfrac%7B9%7D%7B2%7D%20-%28-1%29%7D%7B-2-%5Cfrac%7B1%7D%7B3%7D%20%7D)
![m = \frac{\frac{11}{2} }{\frac{-7}{3} }](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7B%5Cfrac%7B11%7D%7B2%7D%20%7D%7B%5Cfrac%7B-7%7D%7B3%7D%20%7D)
![m = \frac{11}{2} \div (-\frac{7}{3} )](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7B11%7D%7B2%7D%20%5Cdiv%20%28-%5Cfrac%7B7%7D%7B3%7D%20%29)
![m = \frac{11}{2} \times (-\frac{3}{7} )](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7B11%7D%7B2%7D%20%5Ctimes%20%28-%5Cfrac%7B3%7D%7B7%7D%20%29)
![m = - \frac{33}{14}](https://tex.z-dn.net/?f=m%20%3D%20-%20%5Cfrac%7B33%7D%7B14%7D)
.
Happy to help:)
Answer:
The side lengths of similar triangles are proportional
Step-by-step explanation:
1. Let's call the number of carter school: "x" and "y" the number of alternative school. Then, you have that:
- T<span>he number of charter schools is 4 less than twice the number of alternative schools.
</span> - T<span>here are 48 charter schools in the country.
2. So, you have:
x=2y-4 (i)
x=48 (ii)
3. Then, when you substitute x=48 into the equation (i), you obtain:
</span>
x=2y-4
<span> 48=2y-4
4. Now, you must clear "y, as below:
48+4=2y
2y=52
y=52/2
y=26
</span><span>
How many alternative schools are in the county?
</span><span>
The answer is: There are 26 alternative schools.</span>
Answer:
391
Step-by-step explanation:
First you must make the fraction a decimal so you can use it in an equation.
To do so move the . over to the left twice.
.68
Now multiply 575 by .68
575 x .68=391
Answer:
i believe that it is 45
Step-by-step explanation: