Answer:
The relation is a function!
Your Domain should be...
{-1, 1, 7, 9}
Your Range should be...
{-1, 8, 9}
WHY?
Your domain is always your x-coordinates, which are the first coordinates in a pair.
Your range is always your y-coordinates, which are the second coordinates in a pair.
When listing the points, it's important to remain a relation CANNOT be a function if the x's repeat, so luckily, they do not repeat.
Also, when listing points for your range, remember, if they repeat, you should only count one of the numbers, as you can see from the answer, there was two nines, but instead I put one.
Answer:
perimeter=sum of all sides
p=2(L+W)
36=2(L+12)
36-24=2L
12=2L
L=6
Answer:
Every time a new piece of equipment is added to the system, if ifs not properly optimized within the scope of the entire system, you'll end up with wasted energy and operational inefficiencies
Answer:
2
Step-by-step explanation:
3-4+4+(-1) (-4+4=0)
=3-1
=2
Answer:
y=-5/3x+20
Step-by-step explanation:
Let the equation of the required line be represented as ![\[y=mx+c\]](https://tex.z-dn.net/?f=%5C%5By%3Dmx%2Bc%5C%5D)
This line is perpendicular to the line ![\[y=\frac{3}{5}x+10\]](https://tex.z-dn.net/?f=%5C%5By%3D%5Cfrac%7B3%7D%7B5%7Dx%2B10%5C%5D)
![\[=>m*\frac{3}{5}=-1\]](https://tex.z-dn.net/?f=%5C%5B%3D%3Em%2A%5Cfrac%7B3%7D%7B5%7D%3D-1%5C%5D)
![\[=>m=\frac{-5}{3}\]](https://tex.z-dn.net/?f=%5C%5B%3D%3Em%3D%5Cfrac%7B-5%7D%7B3%7D%5C%5D)
So the equation of the required line becomes ![\[y=\frac{-5}{3}x+c\]](https://tex.z-dn.net/?f=%5C%5By%3D%5Cfrac%7B-5%7D%7B3%7Dx%2Bc%5C%5D)
This line passes through the point (15.-5)
![\[-5=\frac{-5}{3}*15+c\]](https://tex.z-dn.net/?f=%5C%5B-5%3D%5Cfrac%7B-5%7D%7B3%7D%2A15%2Bc%5C%5D)
![\[=>c=20\]](https://tex.z-dn.net/?f=%5C%5B%3D%3Ec%3D20%5C%5D)
So the equation of the required line is ![\[y=\frac{-5}{3}x+20\]](https://tex.z-dn.net/?f=%5C%5By%3D%5Cfrac%7B-5%7D%7B3%7Dx%2B20%5C%5D)
Among the given options, option 4 is the correct one.
