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LenaWriter [7]
3 years ago
5

If the side of a rectangular prism is doubled, how would this affect the area? How about the volume?

Mathematics
1 answer:
professor190 [17]3 years ago
6 0

Answer:

Step-by-step explanation:

The area will be increased by 4 times  and volume will be increased by 8 times

Area of rectangular prism = 2 (lb+bh +hl)

When sides are doubled, Area = 2 (2l * 2b +2b *2h + 2h*2l)

                                                     = 4 * 2 (lb+bh +hl)

Volume  of rectangular prism = lbh

When sides are doubled,  Volume = 2l * 2h * 2b = 8 lbh

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Use the functions f(x)=7x3−3x2−x+14 f x = 7 x 3 - 3 x 2 - x + 14 and g(x)=2x3+2x+5 g x = 2 x 3 + 2 x + 5 as examples to show tha
Aneli [31]

Answer:

<h3>The given set of polynomials f(x) and g(x) are closed under subtraction.</h3>

Step-by-step explanation:

Given that the functions f ad g are defined by

f(x)=7x^3-3x^2-x+14 and g(x)=2x^3+2x+5 respectively.

<h3>To  show that the set of polynomials is closed under subtraction :</h3>

Now subtract the given polynomials

f(x)-g(x)=(f-g)(x)

=7x^3-3x^2-x+14-(2x^3+2x+5)

=7x^3-3x^2-x+14-2x^3-2x-5

=5x^3-3x^2-3x+9

∴ f(x)-g(x)=5x^3-3x^2-3x+9

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<h3>Hence the given polynomials f(x) and g(x) are closed under subtraction.</h3>

∴ f(x)-g(x)=5x^3-3x^2-3x+9 are closed under subtraction,

Hence showed.

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3 years ago
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4 years ago
Question 1: The Millers have hired an interior designer to decorate their family room. they want to have a 22" by 30" oil painti
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3 years ago
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DEF is a isosceles right triangle, so DE =EF. apply Pythagoras:

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