Answer: 4.5 (after is the pi sign)
Step-by-step explanation: i got it right on khan academy so
Answer:
![x_1 = 5, x_2 =11, y_1 =9, y_2 = -3](https://tex.z-dn.net/?f=%20x_1%20%3D%205%2C%20x_2%20%3D11%2C%20y_1%20%3D9%2C%20y_2%20%3D%20-3)
The slope can be founded with this formula:
![m =\frac{y_2 -y_1}{x_2 -x_1}](https://tex.z-dn.net/?f=m%20%3D%5Cfrac%7By_2%20-y_1%7D%7Bx_2%20-x_1%7D)
And replacing we got:
![m =\frac{-3 -9}{11-5}= -2](https://tex.z-dn.net/?f=%20m%20%3D%5Cfrac%7B-3%20-9%7D%7B11-5%7D%3D%20-2)
And the best answer for this case would be :
![m=-2](https://tex.z-dn.net/?f=m%3D-2)
Step-by-step explanation:
For this case we have the following two points given:
![x_1 = 5, x_2 =11, y_1 =9, y_2 = -3](https://tex.z-dn.net/?f=%20x_1%20%3D%205%2C%20x_2%20%3D11%2C%20y_1%20%3D9%2C%20y_2%20%3D%20-3)
The slope can be founded with this formula:
![m =\frac{y_2 -y_1}{x_2 -x_1}](https://tex.z-dn.net/?f=m%20%3D%5Cfrac%7By_2%20-y_1%7D%7Bx_2%20-x_1%7D)
And replacing we got:
![m =\frac{-3 -9}{11-5}= -2](https://tex.z-dn.net/?f=%20m%20%3D%5Cfrac%7B-3%20-9%7D%7B11-5%7D%3D%20-2)
And the best answer for this case would be :
![m=-2](https://tex.z-dn.net/?f=m%3D-2)
Answer:
We need to find which expressions are equivalent to
,
or neither.
: We extract the greatest common factor which is 6. Remember, when we extract a GCM, we divide each term by it.
![6c+12=+(c+2)](https://tex.z-dn.net/?f=6c%2B12%3D%2B%28c%2B2%29)
Therefore, this expression is equivalent to neither of the given expressions.
: We just need to apply the distributive property.
![2(3c+3)=6c+6](https://tex.z-dn.net/?f=2%283c%2B3%29%3D6c%2B6)
Therefore, this expression is equivalen to
.
We use the same process to the other expressions.
![(6c)+(6\times 6)=6c+36=6(c+6)](https://tex.z-dn.net/?f=%286c%29%2B%286%5Ctimes%206%29%3D6c%2B36%3D6%28c%2B6%29)
![3c+6+3c=6c+6](https://tex.z-dn.net/?f=3c%2B6%2B3c%3D6c%2B6)
![6c+36=6(c+6)](https://tex.z-dn.net/?f=6c%2B36%3D6%28c%2B6%29)
, equivalent to neither.