3 years ago

What is the simplified form of 5 - 4y + 2x - 3y - 2 + 5x?

Mathematics

1 answer:

leva [86]3 years ago

7 0

Combine like terms.

5-2=3

-4y-3y=-7y

2x+5x=7x

Put these combined values together:
3-7y+7x

Final answer: A

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Answer:

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$V_{cone}=251.2\ in^3,$

$V_{cylinder}=V_{cone}.$

Step-by-step explanation:

The volume of the cylinder is

$V_{cylinder}=\pi r^2 h,$

where r is the radius of a base circle and h is the cylinder's height.

If cylinder has diameter of 8 inches, then its radius is 4 inches. The height of the cylinder is 5 inches. Thus, the volume of the cylinder is

$V_{cylinder}=3.14\cdot 4^2\cdot 5=251.2\ in^3.$

The volume of the cone is

$V_{cone}=\dfrac{1}{3}\pi r^2 h,$

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If cone has diameter of 8 inches, then its radius is 4 inches. The height of the cone is 15 inches. Thus, the volume of the cone is

$V_{cylinder}=\dfrac{1}{3}\cdot 3.14\cdot 4^2\cdot 15=251.2\ in^3.$

As you can see the cylinder and the cone have the same volume.

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