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mina [271]
3 years ago
9

Which number represents the value of the quotient below?

Mathematics
1 answer:
IgorC [24]3 years ago
4 0

\dfrac{5.0\cdot10^8}{2.0\cdot10^4}=\dfrac{5}{2}\cdot10^{8-4}=\boxed{2.5\cdot10^4}\\\\Used:\\\\\dfrac{a^n}{a^m}=a^{n-m}

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which expression is equivalent to 100 n2 − 1? (10n)2 − (1)2 (10n2)2 − (1)2 (50n)2 − (1)2 (50n2)2 − (1)2
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Which expression is equivalent to 100 n2 − 1? (10n)2 − (1)2 (10n2)2 − (1)2 (50n)2 − (1)2 (50n2)2 − (1)2

Regroup:
100n^2-1

=10^2n^2-1
=(10n)^2-1^2

So the correct answer is : 
(10n)^2-1^2

To attempt to factor a polynomial of four or more terms with no common factor, first rewrite it in groups. Each group may possibly be separately factored, and the resulting expression may possibly lend itself to further factorization if a greatest common factor<span> or special form is created.</span>
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Step-by-step explanation:

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4. (07.06)
timofeeve [1]

The expression that represents the area of the rectangle is 2x² + 6x − 20. Thus, the correct option is C.

<h3>What is a rectangle?</h3>

A parallelogram in which adjacent sides are perpendicular to each other is called a rectangle. A rectangle is always a parallelogram and a quadrilateral but reverse statement may or may not be true.

The area of the rectangle is the product of its length and its width. Therefore, the area of the given rectangle is,

Area = (2x-4)(x+5)

       = 2x² + 10x - 4x - 20

       = 2x² +6x - 20

Hence, the expression that represents the area of the rectangle is 2x² + 6x − 20. Thus, the correct option is C.

The complete question is:

Write a simplified polynomial expression in standard form to represent the area of the rectangle below.

  • 2x² + 10x + 20
  • 2x² + 6x + 20
  • 2x² + 6x − 20
  • 2x² − 4x − 20

The image of the rectangle is given below.

Learn more about Rectangle:

brainly.com/question/15019502

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