3 years ago

Which best summarizes Pythagorean Theorem

Mathematics

1 answer:

aleksklad [387]3 years ago

3 0

Answer:

A^2 + B^2 = C^2

Step-by-step explanation:

The applies for right triangle where C is the hypotenuse.

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AysviL [449]

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3 years ago

Read 2 more answers

19. The numerator of a fraction is 1 less than the denominator.

yulyashka [42]

Let the original fraction be

$\dfrac{n-1}{n}$

Now let's increase both numerator and denominator by 2:

$\dfrac{n+1}{n+2}$

This produces a 1/12 increase:

$\dfrac{n+1}{n+2}-\dfrac{n-1}{n}=\dfrac{1}{12}$

The left hand side can be rearranged as

$\dfrac{2}{n^2+2n}=\dfrac{1}{12}$

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$\dfrac{n^2+2n}{2}=12 \iff n^2+2n=24$

Solve the quadratic equation:

$n^2+2n-24=0 \iff n=-6 \lor n=4$

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In the second case, we have

$\dfrac{n-1}{n}=\dfrac{4-1}{4}=\dfrac{3}{4}$

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3 years ago