F(x) = 2x² + 2, find f(5).?
2 answers:
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Answer:
Area of the base =
Step-by-step explanation:
We know that volume of rectangular prism = (Area of base) x (Height)
or [Area of base] = [Volume]/[Height]
So basically we need to divide given area by given height to find the answer.
given height is (x+2) that means (x+2) must be factor of volume equation
or x=-2 must be root of volume equation so write down coefficients of volume equation then we divide by -2 as shown in attached picture.
Last digit on the right is always remainder.
Remaining coefficients {2, 5, -18} will give the area equation:
Hence final answer is:
Area of the base =
The area of the trapezoid will be 32.5 square feet. Then the volume of the geometry will be 341.25 cubic feet.
<h3>What is Geometry?</h3>It deals with the size of geometry, region, and density of the different forms both 2D and 3D.
The figure is shown.
Then the volume of the given geometry will be
Volume = Area of the trapezoid × Height
Then the area of the trapezoid will be
Then the volume of the geometry will be
Volume = 32.5 × 10.5
Volume = 341.25 cubic ft.
More about the geometry link is given below.
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