Answer:Sorry i have no time to read it all bro
Step-by-step explanation:
Answer:
-3c
Step-by-step explanation:
The given expression is:
![\frac{\frac{6c^{2}+3c}{-4c+2}}{\frac{2c+1}{4c-2}}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Cfrac%7B6c%5E%7B2%7D%2B3c%7D%7B-4c%2B2%7D%7D%7B%5Cfrac%7B2c%2B1%7D%7B4c-2%7D%7D)
We need to simplify this expression. The rational expression in the denominator can be multiplied to numerator by taking its reciprocal as shown below:
![\frac{\frac{6c^{2}+3c}{-4c+2}}{\frac{2c+1}{4c-2}} \\\\ =\frac{6c^{2}+3c}{-4c+2} \times \frac{4c-2}{2c+1}\\\\=\frac{3c(2c+1)}{-(4c-2)} \times \frac{4c-2}{2c+1}\\\\ =-3c](https://tex.z-dn.net/?f=%5Cfrac%7B%5Cfrac%7B6c%5E%7B2%7D%2B3c%7D%7B-4c%2B2%7D%7D%7B%5Cfrac%7B2c%2B1%7D%7B4c-2%7D%7D%20%5C%5C%5C%5C%20%3D%5Cfrac%7B6c%5E%7B2%7D%2B3c%7D%7B-4c%2B2%7D%20%5Ctimes%20%5Cfrac%7B4c-2%7D%7B2c%2B1%7D%5C%5C%5C%5C%3D%5Cfrac%7B3c%282c%2B1%29%7D%7B-%284c-2%29%7D%20%5Ctimes%20%5Cfrac%7B4c-2%7D%7B2c%2B1%7D%5C%5C%5C%5C%20%3D-3c)
Thus, the given expression in simplified form is equal to -3c
Answer:
-7/6
Step-by-step explanation:
I have plotted 8,10 and 2,17 on a grid and connected them with a line to help visualize the slope of the line we are trying to find.
The answer can also be written as a decimal as shown below, but it is neater to use the fraction.