Answer:
D
Step-by-step explanation:
"The slope of AB is different than the slope of BC" the slope are on the same straight line, so this is incorrect! It doesn't matter which portion of the line you look at, the slope will always be the same.
Answer: Choice B) The expression (10-2x)(30-2x)x represents the volume of the box
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The original width is 10 inches. The width reduces to 10-2x inches after we cut off the top two corners of the rectangle. We can think of it as taking 10 and subtracting off two copies of x like so: 10-x-x = 10-2x
Similarly, the length goes from 30 inches to 30-2x inches. This time we're taking off the top and bottom corners (focus on either side it doesn't matter).
The height of the box is x inches due to this portion being folded up.
Volume of box = (width)*(length)*(height)
Volume of box = (10-2x)(30-2x)x
Note: the units for the answer are in cubic inches which can be written as "in^3" (inches cubed).
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Volume of cylinder = π.R².h , where R = radius and h = height
Let's replace h by 2h:
V₁= πR².(2h) → V₁ = 2π.R².h
Now let's double R, the radius (and keep h as h)
V₂ = π.(2R)².h → V₂ = 4.π.R².h
Compare V₁ to V₂→ (V₁ = 2π.R².h and V₂ = 4.π.R².h).
It's obvious that V₂ = 2.V₁