Answer:
the vertex is ( 4,7)
Step-by-step explanation:
* Result: Equation y= a(x-m)^2 + n, then the vertex is (m,n).
Here, we have y =(x-4)^2 +7, then the vertex is ( 4,7).
Hope you understand.
Answer:
![2,124\ in^{2}](https://tex.z-dn.net/?f=2%2C124%5C%20in%5E%7B2%7D)
Step-by-step explanation:
we know that
The surface area of a rectangular prism is equal to
![SA=2B+Ph](https://tex.z-dn.net/?f=SA%3D2B%2BPh)
where
B is the area of the base
P is the perimeter of the base
h is the height
In this problem we have
![B=18*24=432\ in^{2}](https://tex.z-dn.net/?f=B%3D18%2A24%3D432%5C%20in%5E%7B2%7D)
![P=2(18+24)=84\ in](https://tex.z-dn.net/?f=P%3D2%2818%2B24%29%3D84%5C%20in)
![h=15\ in](https://tex.z-dn.net/?f=h%3D15%5C%20in)
substitute
![SA=2(432)+(84)(15)=2,124\ in^{2}](https://tex.z-dn.net/?f=SA%3D2%28432%29%2B%2884%29%2815%29%3D2%2C124%5C%20in%5E%7B2%7D)
y=6x-14
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C) 267.95 m3
We need the radius (half of the diameter) Which would make it 4 meters. Our formula would now be 4/3 x pi(3.14) x 4^3 (4x4x4) which is 267.946 which rounds up to (267.95m3)
Answer:
Add all pounds lost during 3 months. 3+7+4= 14. 4 lbsx4 months =16. 16-14=2. 2 lbs must be lost during the 4 month to stay consistent with the 4 lbs weight loss per month.
Step-by-step explanation: