To reflect in the line y = -x + 6, we translate everything down 6 first. This will make it seem like we are reflecting in the line y = -x
(x,y) → (x, y-6)
Then, to reflect in the line y = -x, we switch the x- and y-coordinates and then make them negative
(x,y) → (-(y-6), -x)
Then we move everything back up again
(x,y) → (-(y-6), -x + 6)
I will present to you an example. Reflect the point (-4, 8) in the line y = -x + 6.
(-4,8) → (-(8-6), -(-4) + 6) → (-2, 10)
You should graph this out to confirm with the reflection line.
Answer:
52
Step-by-step explanation:
these equations added together equal 180. so x+2x+24 = 180. add like terms (x+2x=3x) , subtract 24 from both sides, divide by 3 on both sides to get x by itself
Answer: There will be about 888,915 gallons of water left in the spherical tank.
First, we need to determine the volume of the tank. The volume formula for a sphere is (4/3)pi(r^3). All we have to do is input the 32 for pi and evaluate. You will have a volume of 137,189 cubic feet.
Now, multiply that by 7.5 and you will have 1,028,915 gallons of water in the tank.
Finally, just subtract the 140,000 gallons and we are at our answer.
A rombus
has 1 set of parallel lines
Answer:
9675770
Step-by-step explanation:
Hope this helps
