Answer:
15
Step-by-step explanation:
First, solve for Line 1
3x + 4y = -14
<em>move the x to the right of the equation</em>
4y = -3x - 14
<em>divide the whole equation by 4 </em>
y = -3/4x - 14/4
<u>Line 1 is y = -3/4x - 7/2 </u>
Then, solve for Line 2
Since Line 2 is perpendicular, change the sign of the slope of Line 1 and then get the reciprocal of that.
-3/4 to 3/4 to 4/3
4/3 is the slope of Line 2.
Now, we want to find what the b of the equation is, so we can plug in our x (-5) and our y (7) into the y=mx+b equation to find b. The 4/3 is the m or the slope.
y = mx + b
<em>plug in the y, m, and x into the equation</em>
7 = (4/3)(-5) + b
<em>multiply the m and x together </em>
7 = -20/3 + b
<em>add 20/3 to both sides so it will cancel out on the right of the equation and be added to the 7 on the left of the equation</em>
<u>41/3 = b </u>
So, m = 4/3 and b = 41/3
Add them together and you get 45/3 or 15.
I hope this helped!
Answer:
A. 8
Step-by-step explanation:
you do 8/25 and it gives you 0.32
hope this helps :)
What do you mean by Social Contract?
Answer:
B
Step-by-step explanation:
2/6 x d = 388
d = 388 x 6/2 = 1164 m
Angle AEB and angle CED are vertical angles, this means they equal each other, therefore we set their values as an equation and solve:
5x-10=3x+40
Subtract 3x to both sides
2x-10=40
Add 10 to both sides
2x=50
Divide both sides by 2
x=25
After we have gotten the value of x we can plug it in into the equation of angle AEB:
5x-10
Substitute x by 25
5(25)-10
Distribute
125-10
Substract
115
The measurement of angle AEB is 115
Hope it helped!, have a great day.