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Nataly [62]
4 years ago
10

In the number 2145857, how does the digit 5 in the thousands place compare to the digit 5 in the tens place?

Mathematics
1 answer:
fgiga [73]4 years ago
7 0
It is 1,000 bigger than the one in the tens place. 5,000 compared to 50 
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Option C: 5 x(4 x+7)(3 x+2) is the possible expressions for length, width and height of the prism.

Explanation:

The volume of the rectangular prism is 60 x^{3}+145 x^{2}+70 x

To determine the length, width and height of the rectangular prism, let us factor the expression.

Thus, factoring 5x from the expression, we have,

5 x\left(12 x^{2}+29 x+14\right)

Let us break the expression 12 x^{2}+29 x+14 into two groups, we get,

5x[\left(12 x^{2}+8 x\right)+(21 x+14)]

Factoring 4x from the term 12 x^{2}+8 x , we get,

5x[4 x(3 x+2)+(21x+14)]

Similarly, factoring 7x from the term 21 x+14 , we get,

5x[4 x(3 x+2)+7(3x+2)]

Now, let us factor out 3x+2, we get,

5 x(4 x+7)(3 x+2)

Hence, the possible expressions for length, width and height of the prism is 5 x(4 x+7)(3 x+2)

Therefore, Option C is the correct answer.

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