4 years ago

How can you tell whether a square root of a whole number is rational or irrational

1 answer:

5 0

Answer:

<h3><em>Real numbers have two categories: rational and irrational. If a square root is not a perfect square, then it is considered an irrational number. These numbers cannot be written as a fraction because the decimal does not end (non-terminating) and does not repeat a pattern (non-repeating).</em></h3>

Step-by-step explanation:

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Cot (15 degrees)

STatiana [176]

Answer:

Part I: cot(15 degrees) = cot(45 - 30)

Part II: Evaluation is below

Step-by-step explanation:

<em>Everything is done in degrees</em>

<em />

Two angles that differ by 15 degrees that is easy to evaluate is 30 degrees and 45 degrees. The cot(15 degrees) = cot(45 - 30) = 1/tan(45-30) = (1+tan45tan30)/(tan30 - tan45) = (1+ sqrt(3))/(sqrt(3) - 1)

We rationalize this by multiplying 1+ sqrt(3) in the top and bottom, getting:

(4 + 2sqrt(3))/2 = 2 + sqrt(3)

I hope this helps! :)

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3 years ago

Find the slope of the line that contains the following pair of points: (2, 4), (0, 8).

Ugo [173]

8-4/0-2 =4/-2= -2
So it has a negative slope

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3 years ago

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Olin [163]

Step-by-step explanation:

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3 years ago

Please help me with this

Sonja [21]

The answer to your question is D) √5x/5x.

I hoped this helped!

6 0

4 years ago

Given the equation y = |x| - 2 and the x values of -2, -1, 0, 1, 2, substitute x and choose the correct set of y values below.

Marat540 [252]

Answer:

y = {0, -1, -2}

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3 years ago