Answer:
1/6
Step-by-step explanation:
ive seen that question b4
3(9)+2(6)=
multiply 3•9=27
multiply 2•6=12
27+12=39
Answer:
First option.
Third option.
Fifth option.
Step-by-step explanation:
The equation of the line in Slope-Intercept form is:
![y=mx+b](https://tex.z-dn.net/?f=y%3Dmx%2Bb)
Where "m" is the slope and "b" is the y-intercept.
The equation of the line in Point-slope form is:
![y - y_1 = m(x-x_1)](https://tex.z-dn.net/?f=y%20-%20y_1%20%3D%20m%28x-x_1%29)
Where "m" is the slope and
is a point on the line.
By definition, the slopes of perpendicular line are negative reciprocals.
Then, given the line:
![y- 1 = \frac{1}{3}(x+2)](https://tex.z-dn.net/?f=y-%201%20%3D%20%5Cfrac%7B1%7D%7B3%7D%28x%2B2%29)
We know that a line perpendicular to it, must have this slope:
![m=-3](https://tex.z-dn.net/?f=m%3D-3)
Let's check each option:
1) ![y + 2 = -3(x -4)](https://tex.z-dn.net/?f=y%20%2B%202%20%3D%20-3%28x%20-4%29)
Since
, this line is perpendicular to the line ![y- 1 = \frac{1}{3}(x+2)](https://tex.z-dn.net/?f=y-%201%20%3D%20%5Cfrac%7B1%7D%7B3%7D%28x%2B2%29)
2) ![y - 5 = 3(x + 11)](https://tex.z-dn.net/?f=y%20-%205%20%3D%203%28x%20%2B%2011%29)
Since
, this line is not perpendicular to the line ![y- 1 = \frac{1}{3}(x+2)](https://tex.z-dn.net/?f=y-%201%20%3D%20%5Cfrac%7B1%7D%7B3%7D%28x%2B2%29)
3) ![y = -3x-\frac{5}{3}](https://tex.z-dn.net/?f=y%20%3D%20-3x-%5Cfrac%7B5%7D%7B3%7D)
Since
, this line is perpendicular to the line ![y- 1 = \frac{1}{3}(x+2)](https://tex.z-dn.net/?f=y-%201%20%3D%20%5Cfrac%7B1%7D%7B3%7D%28x%2B2%29)
4) ![\frac{1}{3}x - 2](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B3%7Dx%20-%202)
Since
, this line is not perpendicular to the line ![y- 1 = \frac{1}{3}(x+2)](https://tex.z-dn.net/?f=y-%201%20%3D%20%5Cfrac%7B1%7D%7B3%7D%28x%2B2%29)
5) ![3x + y = 7](https://tex.z-dn.net/?f=3x%20%2B%20y%20%3D%207)
Solving for "y":
Since
, this line is perpendicular to the line ![y- 1 = \frac{1}{3}(x+2)](https://tex.z-dn.net/?f=y-%201%20%3D%20%5Cfrac%7B1%7D%7B3%7D%28x%2B2%29)
I don’t even wanna go get my kids and get to go to work tomorrow so y’all don’t know what I gotta I wanna is the day you got me in my car so I’m going back home to you and get my kids done and then go to take my car to the house I gotta is a way I gotta is a time for I don’t even wanna go get my kids and get to go to work tomorrow so y’all don’t know what I gotta I wanna is the day you got me in my car so I’m going back home to you and get my kids done and then go to take my car to the house I gotta is a way I gotta is a time for