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Dominik [7]
2 years ago
13

If

Mathematics
1 answer:
Tju [1.3M]2 years ago
5 0

Answer:

Step-by-step explanation:

Rationalize the denominator of b. So, multiply the numerator and denominator by \sqrt{x}

b = \frac{(1-2\sqrt{x}) *\sqrt{x}}{\sqrt{x}*\sqrt{x}  }=\frac{1*\sqrt{x} -2\sqrt{x} *\sqrt{x} }{\sqrt{x} *\sqrt{x} }\\\\=\frac{\sqrt{x} -2x}{x}\\

Now, find a +b

a +b = \frac{2x+\sqrt{x} }{x}+\frac{\sqrt{x} -2x}{x}\\\\=\frac{2x+\sqrt{x} +\sqrt{x} -2x}{x}

Combine like terms

= \frac{2x-2x+\sqrt{x} +\sqrt{x} }{x}\\\\=\frac{2\sqrt{x} }{x}

Now find (a + b)²

(a +b)² = (\frac{2\sqrt{x} }{x})^{2}

          = \frac{2^{2}*(\sqrt{x} )^{2}}{x^{2}}\\\\= \frac{4* x}{x^{2}}\\\\= \frac{4}{x}

Hint: \sqrt{x} *\sqrt{x}  =\sqrt{x*x}=x

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Answer:

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Step-by-step explanation:

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2 years ago
PLEASE HELP
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Read 2 more answers
There is a 15% it will rain on both Saturday and Sunday. There is a 60% chance of rain on Saturday. What is the chance of
Artemon [7]

Answer:

25%

Step-by-step explanation:

This question is about conditional probability. Let's say that the probability of raining on Saturday is X=true and the probability of raining on Sunday is Y=true. There is a 15% it will rain on both Saturday and Sunday, to put into the equation it will be:

P(X= true ∩ Y = true) = P(X = true) * P(Y = true)= 0.15

There is a 60% chance of rain on Saturday, mean the  equation is

P(X = true) = 0.6

The question is asking for the chance of rain on Sunday or P(Y = true). If we substitute the second equation to first, it will be:

P(X = true) * P(Y = true)= 0.15

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P(Y = true)= 0.15/0.6

P(Y = true)= 0.25 = 25%

5 0
3 years ago
Answer YES if is a Right Triangle or NO if is not
Vilka [71]

Answer:

Part A: yes

Part B: yes

Part C: yes

Step-by-step explanation:

Part A:

77² + 420² = 427²

5,929 + 176,400 = 182,329

182,329 = 182,329

---------------------------------------------------------

Part B:

279² + 440² = 521²

77,841 + 193,600 = 271,441

271,441 = 271,441

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Part C:

39² + 760² = 761²

1,521 + 577,600 = 579,121

579121 = 579,121

----------------------------------------------------------

7 0
2 years ago
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