Answer:
-2x² + 4x + 2
Step-by-step explanation:
(1-8x²+3x)+(1+6x²+x)
= 1 - 8x² + 3x + 1 + 6x² + x
= -2x² + 4x + 2 [-2(x² - 2 - 1)]
Answer:
the answer is 4, just kidding it's 2
Step-by-step explanation:
1 - 1/2c = 6
1 -1 - 1/2c = 6 -1 (subtract 1 on both sides)
-1/2c = 5 (next do the inverse operation)
c = 5 ÷ 1/2
c = -10
to check your answer substitute the value of c in the equation;
1- 1/2c = 6
1- 1/2(-10) = 6
1 + 5 = 6
6 =6
Answer:
C) They are perpendicular lines.
Step-by-step explanation:
We first need to find the slope of the graph of the lines passing through these points using:
![m = \frac{y_2-y_1}{x_2-x_1}](https://tex.z-dn.net/?f=m%20%3D%20%20%5Cfrac%7By_2-y_1%7D%7Bx_2-x_1%7D%20)
The slope of the line that passes through (−12, 15) and (4, −5) is
![m_{1} = \frac{ - 5 - 15}{4 - - 12}](https://tex.z-dn.net/?f=%20m_%7B1%7D%20%3D%20%20%5Cfrac%7B%20-%205%20-%2015%7D%7B4%20-%20%20-%2012%7D%20)
![m_{1} = \frac{ - 20}{16} = - \frac{5}{4}](https://tex.z-dn.net/?f=m_%7B1%7D%20%3D%20%20%5Cfrac%7B%20-%2020%7D%7B16%7D%20%20%3D%20%20-%20%20%5Cfrac%7B5%7D%7B4%7D%20)
The slope of the line going through (−8, −9) and (16, 21) is
![m_{2} = \frac{21 - - 9}{16 - - 8}](https://tex.z-dn.net/?f=%20m_%7B2%7D%20%3D%20%20%5Cfrac%7B21%20-%20%20-%209%7D%7B16%20-%20%20-%208%7D%20)
![m_{2} = \frac{21 + 9}{16 + 8}](https://tex.z-dn.net/?f=%20m_%7B2%7D%20%3D%20%20%5Cfrac%7B21%20%20%2B%209%7D%7B16%20%20%2B%208%7D%20)
![m_{2} = \frac{30}{24} = \frac{5}{4}](https://tex.z-dn.net/?f=m_%7B2%7D%20%3D%20%20%5Cfrac%7B30%7D%7B24%7D%20%20%3D%20%20%5Cfrac%7B5%7D%7B4%7D%20)
The product of the two slopes is
![m_{1} \times m_{2} = - \frac{4}{5} \times \frac{5}{4} = - 1](https://tex.z-dn.net/?f=m_%7B1%7D%20%5Ctimes%20m_%7B2%7D%20%3D%20%20-%20%20%5Cfrac%7B4%7D%7B5%7D%20%20%5Ctimes%20%20%5Cfrac%7B5%7D%7B4%7D%20%20%3D%20%20-%201)
Since
![m_{1} \times m_{2} = - 1](https://tex.z-dn.net/?f=m_%7B1%7D%20%5Ctimes%20m_%7B2%7D%20%3D%20%20-%201)
the two lines are perpendicular.
8*.8=6.4
4x+6.4=40
40-6.4=33.6
33.6/4=x
8.4=x
Hope this helps :)