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sladkih [1.3K]
3 years ago
6

Which expression makes the equation true?

Mathematics
1 answer:
N76 [4]3 years ago
8 0
1. C. 

The rule of powers is that when a parenthesis is raised to a power, you multiply the two numbers. Since it is being raised to the second power, it needs to have a 10 in the parenthesis. That would make 20. 

2. B

Firstly 10^2 = 100, so we know that the number must be 10. That leaves us with just A and B. Then we know the same thing from the previous equation, that they need to be multiplied together. 
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Which value of a would make the following expression completely factored? X^
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Answer:

A. 12

Step-by-step explanation:

Selecting B, C, or D would create a difference of perfect squares since each of these numbers are perfect squares. Additional factoring would then be needed.

x^2-36 = (x+6)(x-6)\\x^2-49 = (x+7)(x-7)\\x^2-81=(x+9)(x-9)

But selecting 12 gives x^2-12 which cannot be factored. It is factored completely.

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Step-by-step explanation:

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X + 8 + 2x <= 2x + 13
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Which of the following is equivalent to 25x2+16−40x−64y2? Select two.
Marat540 [252]

The equivalent expression to the given expression 25x²+16−40x−64y² are; (5x-4)²−64y² and (5x−4−8y)(5x+4+8y)

<h3>Difference of two squares</h3>

According to the question:

  • We are required to determine the equivalent expression.

When we try to factorise the given expression systematically; we have;

  • 25x²+16−40x−64y² = (25x²+16−40x)−64y²

By the difference of two squares concept;

  • (25x²+16−40x) = (5x-4)²

Therefore, an equivalent expression is; (5x-4)²−64y²

Similarly, (5x-4)²−64y² is the difference of two squares and can be rewritten as; (5x−4−8y)(5x+4+8y)

Hence, we have the suggested expressions as equivalent expressions.

Learn more about equivalent expression:

brainly.com/question/2972832

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