Answer:
The lines blue and green are perpendicular
Step-by-step explanation:
we know that
If two lines are perpendicular, then their slopes are opposite reciprocal (the product of their slopes is -1)
The formula to calculate the slope between two points is equal to
![m=\frac{y2-y1}{x2-x1}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7By2-y1%7D%7Bx2-x1%7D)
step 1
Find the slope of the blue line
we have the points
(-1,-3) and (0,3)
substitute
![m=\frac{3+3}{0+1}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7B3%2B3%7D%7B0%2B1%7D)
![m=\frac{6}{1}=6](https://tex.z-dn.net/?f=m%3D%5Cfrac%7B6%7D%7B1%7D%3D6)
step 2
Find the slope of the red line
we have the points
(3,-3) and (4,2)
substitute
![m=\frac{2+3}{4-3}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7B2%2B3%7D%7B4-3%7D)
![m=\frac{5}{1}=5](https://tex.z-dn.net/?f=m%3D%5Cfrac%7B5%7D%7B1%7D%3D5)
step 3
Find the slope of the green line
we have the points
(-4,-1) and (2,-2)
substitute
![m=\frac{-2+1}{2+4}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7B-2%2B1%7D%7B2%2B4%7D)
![m=-\frac{1}{6}](https://tex.z-dn.net/?f=m%3D-%5Cfrac%7B1%7D%7B6%7D)
step 4
Compare the slopes
Blue line ----> ![m=6](https://tex.z-dn.net/?f=m%3D6)
Red line ----. ![m=5](https://tex.z-dn.net/?f=m%3D5)
Green line ---> ![m=-\frac{1}{6}](https://tex.z-dn.net/?f=m%3D-%5Cfrac%7B1%7D%7B6%7D)
so
The slope of the blue line and the green line are opposite reciprocal ( their product is equal to -1)
therefore
The lines blue and green are perpendicular
Answer:
After Two Hours.
Step-by-step explanation:
A simple way to do it is to:
1. Add 50+55, it is equal to 105. This is after one hour, so we know that it's more than this.
2. Add 50+55 to 105, This is after two hours, and we get 210, so we know that it has to be equal to 2 hours.
30 % of students because add 9% to 61% thats how i got it i think is wrong dont know
Answer:
$50 per hour
Step-by-step explanation:
$10+$40=$50
Answer:
7 ounces
Step-by-step explanation:
if 12 ounces is $0.84, that means it is $0.07 per ounce. if you have $.49, you divide .49 and 0.07 and you will get 7 ounces