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ipn [44]
3 years ago
12

Which pair of numbers is relatively prime?

Mathematics
1 answer:
Andru [333]3 years ago
8 0
The answer is C)

The numbers are relatively prime if there is no common factor that divides both of them apart from 1.  A) isn't answer because 3 is one of common factors. B isn't answer because 13 is common factor. and D isn't answer because 7 is common factor.

Therefore only 10 and 31 have no common factors other than 1
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A distance travaled by train in three hours with a constant speed of r miles per hour
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The distance travelled by the train with constant speed of r miles will be 3r.

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Consider the following.
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Anything in the form x = pi+k*pi, for any integer k

These are not removable discontinuities.

============================================================

Explanation:

Recall that tan(x) = sin(x)/cos(x).

The discontinuities occur whenever cos(x) is equal to zero.

Solving cos(x) = 0 will yield the locations when we have discontinuities.

This all applies to tan(x), but we want to work with tan(x/2) instead.

Simply replace x with x/2 and solve for x like so

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If we make a table of some example k values, then we'll find that we could get the following outputs:

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So we can effectively condense those x equations into the single equation x = pi+k*pi

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