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Dmitry [639]
3 years ago
9

Which value of a would make the following expression completely factored

Mathematics
2 answers:
solmaris [256]3 years ago
6 0

Answer:

A)

Step-by-step explanation:

We know that the expression (x^2 - a^2) can be written as (x-a)(x+a). So an expression of this type: (x^2 - a^2) wouldn't be completely factored because it could be factorized even more.

So we know that 36 = 6^2, 49= 7^2 and 81 = 9^2. So if we choose any of these options (Option B, C and D) it wouldn't be completely factored.

The correct is the option A, given that if a=12, it wouldn't be a perfect square, so it would be completely factored.

Bogdan [553]3 years ago
6 0

So I just did the problem and im pretty sure the answer is A

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Which statements are true about a rectangular pyramid with a height of 9 centimeters and a base with the dimensions of 4 centime
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<u>Answer:</u>

B.The area of the base of the pyramid is 24cm^2.

C.A rectangular prism with the dimensions of 9 cm by 4 cm by 6 cm will have 3 times volume of this pyramid.

E.The volume of this pyramid is 72cm3.

<u>Step-by-step explanation:</u>

Area of base of the pyramid = l × w = 4 × 6 = 24 cm^2

Volume of rectangular pyramid = (l × w × h)/3 = (4 × 6 × 9)/3 = 72 cm^3

Volume of rectangular prism = w × h × l = 9 × 4 × 6 = 216 cm^3

So according to these calculations, the correct answer options are:

B.The area of the base of the pyramid is 24cm^2.

C.A rectangular prism with the dimensions of 9 cm by 4 cm by 6 cm will have 3 times volume of this pyramid.

E.The volume of this pyramid is 72cm3.

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Answer:

9/20 yes, 4/15 not. See below

Step-by-step explanation:

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9/20 = 45/100

We know that if we divide a number by 100 we need to move the coma as two places left, so:

9/20 = 45/100 = 0.45

And this is a terminal decimal as we know where it ends.

On the other hand if we pick 4/15 let try to divide it (here I will do it 'manually'):

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we can divide 4 by 15, so we use 40 and begin with a comma

40 |_ 15

      0.

15 enters 2 times in 40 with a rest of 10, so:

40 |_ 15

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100 divided by 15 is 6 and we have 10 as rest again, and again and again...

40 |_ 15

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So, we will have 0.266666666666666 infinitely. The decimal for 4/15 is non terminating and is 0.26666666666666666...

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4

Step-by-step explanation:

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Step-by-step explanation:

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