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An equation for the volume of the prism as a function of the height is Volume = h³ + 2h² - 15h.
- We are given a rectangular prism.
- A rectangular prism is no different than a cuboid.
- Let the height of the rectangular prism be "h".
- The length of the rectangular prism is "h-3".
- The width of the rectangular prism is "h+5".
- The volume of the rectangular prism is the same as that of the cuboid.
- The volume of the rectangular prism is the product of its length, its width, and its height.
- The volume of the rectangular prism is (h - 3)*(h + 5)*h.
- An equation for the volume of the prism as a function of the height is :
- Volume = (h - 3)*(h + 5)*h
- Volume = (h² + 2h - 15)*h
- Volume = h³ + 2h² - 15h
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Answer:
(0, 6)
explanation:
- original coordinates of C: (5, -6)
if reflected over x-axis, then use the formula: (x,y) → (x, -y)
then if translated -5 horizontally, there will be change in x axis
- new coordinates: (5-5, 6) → (0, 6)
Answer:
Option 4 is correct.
The equation 
is equivalent to 
Step-by-step explanation:'
Given equation:
First group the terms with x and those with y;
Next, we complete the squares.
We can do this by adding a third term such that the x terms and the y terms are perfect squares.
For this we must either add the same value on the other side of the equation or subtract the same value on the same side so that the equality is maintained.
⇒
or
Add 360 on both sides we get;
Simplify:
Therefore, the given equation is equivalent to
