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Oksana_A [137]
3 years ago
8

Find the quotient when x2 + 10x + 21 is divided by x + 7

Mathematics
1 answer:
Alja [10]3 years ago
5 0

Answer:

The quotient is x+3

Step-by-step explanation:

We first use the remainder theorem to determine whether x+7 is divisible by

x^2+10x+21:

(-7)^2+10(-7)+21\\ = 49 - 70+21 = 0

the remainder is zero which means x^2+10x+21 is divisible by x+7.

Now, we could do polynomial long division to find the quotient, but in this case, it turns out that guessing is easier.

x^2+10x+21

is factored as

x^2+10x+21 = (x+7)(x+3)

which means

\dfrac{x^2+10x+21}{x+7} =(x+3)

which means the quotient is x+3.

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Answer: 23692929

Step-by-step explanation:

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Answer:

x = 3

Step-by-step explanation:

Angle S and Angle T are consecutive interior angles. Therefore, we know that T + S = 180°.

First, we need to solve for T, and since angles S and T are consecutive interior angles, we know that T + S = 180°. If we reorganize the equation to include the things we know (S = 105°), then we get 180° - 105° = 75°. So T is 75°.

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In conclusion, x = 3.

6 0
2 years ago
Calvin is building a fence. The fence will enclose a 100 square foot area, 10 ft wide by 10 ft long. Calvin can put fence posts
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Answer:

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Step-by-step explanation:

Calvin is building a fence. The fence will enclose a 100 square foot area, 10 ft wide by 10 ft long. Calvin can put fence posts 2 feet apart.

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A group of friends were working on a student film that had a budget of $700. They used 42% of their budget on equipment. How muc
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3 years ago
Explain how you got the answer(:
Natali [406]
Hey there :) I'm pretty sure that your answer is D) ∠S ≅ <span>∠Y because corresponding angles of similar triangles are congruent.

I think that it is the answer because if you shift your paper around, and look at the angles from different views, you can tell that angles S and Y are congruent, or the same, because of the way that both angles are at the end of the longer sides of both triangles.

So, your answer is D!

~Hope this helped!~</span>
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