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oksian1 [2.3K]
3 years ago
5

Please send the answer with explanation​

Mathematics
1 answer:
Margarita [4]3 years ago
7 0
Could you respond with the colors to the key at the bottom? I cannot tell with this picture.
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Help me please! Find the value of x.
Lilit [14]
X+16 + 3x+2 = 90
4x+18=90
4x=72
X=18
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4 years ago
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photoshop1234 [79]

Substitute u=x^2+4 and du=2x\,dx. Then the integral transforms to

\displaystyle \int \frac{x\,dx}{(x^2+4)^3} = \frac12 \int \frac{du}{u^3}

Apply the power rule.

\displaystyle \int \frac{du}{u^3} = -\dfrac1{2u^2} + C

Now put the result back in terms of x.

\displaystyle \int \frac{x\,dx}{(x^2+4)^3} = \frac12 \left(-\dfrac1{2u^2} + C\right) = -\dfrac1{4u^2} + C = \boxed{-\dfrac1{4(x^2+4)^2} + C}

3 0
2 years ago
A RIGHT triangle has three sides: a, b, c such that a=b and LaTeX: a^2\:+\:b^2\:=\:c^2 a 2 + b 2 = c 2 What is the ratio of the
Alex_Xolod [135]

Answer:

c=b\sqrt{2}

Step-by-step explanation:

Refer to the attached image.

A right triangle is considered so when one of its corners are 90°.

If sides a and b are equal in length, then  the corners across from them are equal in size as well.

The only way for this to be possible is if both corners A and B(opposite of sides a and b) are 45°.

Pythagorean theorem

This theorem states that the square of a right triangle's long side is equal to the sum of the squares of the shorter sides.

In this case:

a^{2} +b^{2} =c^{2}

but since:

a=b

the equation can be solved by replacing a with b in the equation:

b^{2} +b^{2} =c^{2} \\2b^{2}=c^{2} \\\sqrt{2b^{2} } = c\\b\sqrt{2} =c

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3 years ago
Solve log base 2 of one over thirty two.
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It’s in this picture:)

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3 years ago
Read 2 more answers
How do you get 40y from the difference of 2 squares with the problem (5y+4+3x)(5y+4-3x)? I understand distribution method. I don
otez555 [7]

Answer:

Step-by-step explanation:

(5y+4+3x)(5y+4-3x) = (5y+4)² - (3x)²......(from the difference of 2 squares )

by identity : (a+b)(a-b) = a² - b²

in this exercice ; a = 5y+4 and b  = 3x

3 0
3 years ago
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