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amm1812
3 years ago
5

Simplify. Show your work. (2√(5)+3√(7))^2

Mathematics
1 answer:
frozen [14]3 years ago
3 0

Answer:

The answer is: 83 + 12√35

(a + b)² = a² + 2ab + b²

In (2√5 + 3√7)², a = 2√5, b = 3√7

Just substitute a and b:

(a + b)² = a² + 2ab + b² = (2√5)² + 2 * 2√5 * 3√7 + (3√7)² = 

           = 2²√5² + 2 * 2 * 3 * √5 * √7 + 3²√7² =

           = 4 * 5 + 12 * √(5*7) + 9 * 7 =

           = 20 + 12 *√35 + 63 =

           = 83 + 12√35

Step-by-step explanation:

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soldier1979 [14.2K]
9x⁹ - 90x⁸ - 351x⁷

What do each of these numbers have in common?

They ALL have 9x⁷ in them!

So, divide each one of these by 9x⁷

9x⁹ ÷ 9x⁷ = 9x²

-90x⁸ ÷ 9x⁷ = -9x

-351x⁷ ÷ 9x⁷ = -39

So, factorized completely, it is :

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~Hope I helped!~


4 0
3 years ago
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Alona [7]
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3 years ago
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dezoksy [38]

Answer:

Option c.

No damping

Step-by-step explanation:

We can easily solve this question by using a graphing calculator or any plotting tool.

The function is

f(x) = (√11)*cos(3.7x)

Which can be seen in the picture below

We can notice that f(x) is a cosine with maximum amplitude of  (√11). Neither this factor nor the multiplication of x by 3.7 serve as a damping factor since they are constants.

f(x) does not present any dampening

5 0
3 years ago
Read 2 more answers
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zimovet [89]

Answer:

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Step-by-step explanation:

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6 0
2 years ago
What is the explicit formula for the sequence 7,2,-3,-8,-13
eduard
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Then ...

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and so on.
So it seems to work.


8 0
3 years ago
Read 2 more answers
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