Answer:
the line of symmetry is (-1,0) and the vertex is (0,4)
Step-by-step explanation:
I like to plug in all of my coordinates into a graphing calculator in order to find the answer.
Hope this helps...
Answer:
![x=2y+6](https://tex.z-dn.net/?f=x%3D2y%2B6)
Step-by-step explanation:
So we have the system:
![-x+2y=-6\\3x+y=8](https://tex.z-dn.net/?f=-x%2B2y%3D-6%5C%5C3x%2By%3D8)
If we isolate the x-variable in the first equation:
![-x+2y=-6](https://tex.z-dn.net/?f=-x%2B2y%3D-6)
Subtract 2y from both sides:
![-x=-6-2y](https://tex.z-dn.net/?f=-x%3D-6-2y)
Divide both sides by -1:
![x=2y+6](https://tex.z-dn.net/?f=x%3D2y%2B6)
Therefore, we would substitute the above into the second equation:
![3x+y=8\\3(2y+6)+y=8](https://tex.z-dn.net/?f=3x%2By%3D8%5C%5C3%282y%2B6%29%2By%3D8)
The answer is 2y+6
Further notes:
To solve for the system, distribute:
![6y+18+y=8](https://tex.z-dn.net/?f=6y%2B18%2By%3D8)
Simplify:
![7y+18=8](https://tex.z-dn.net/?f=7y%2B18%3D8)
Subtract:
![7y=-10](https://tex.z-dn.net/?f=7y%3D-10)
Divide:
![y=-10/7\approx-1.4286](https://tex.z-dn.net/?f=y%3D-10%2F7%5Capprox-1.4286)
Now, substitute this value back into the isolated equation:
![x=2(-10/7)+6\\x=-20/7+42/7\\x=22/7\approx3.1429](https://tex.z-dn.net/?f=x%3D2%28-10%2F7%29%2B6%5C%5Cx%3D-20%2F7%2B42%2F7%5C%5Cx%3D22%2F7%5Capprox3.1429)
The amount of material needed for the containers is its surface area
The amount of material needed for the 8 containers using the assumed parameters is 3080 square feet
<h3>How to determine the amount of material?</h3>
The question is incomplete, as the figure of the right pentagonal prism is not given.
So, I will provide a general explanation.
The surface area (SA) of a right pentagonal prism is:
SA = 5b(a + h)
Where:
- b represents the base length
- a represents the apothem
- h represents the height
From the question, we have the height of the prism to be 8 ft.
Assume that:
a = 3 ft and b = 7 ft
The equation becomes
SA = 5 * 7 * (3 + 8)
Evaluate the product
SA = 385
The amount of material needed for the 8 containers would be:
Amount = 8 * 385 square feet
Amount = 3080 square feet
Hence, the amount of material needed for the 8 containers using the assumed parameters is 3080 square feet
Read more about area at:
brainly.com/question/24487155
No because in 1/3 you get 2/6 so if you have 1/3 vs. 5/6 than you only have 1/3 containing 2/6 and we are looking for 5/6 so that is wrong. 5/6 is bigger that 1/3.