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3 years ago

SOMEONE SMART PLEASE HELP!! use the Pythagorean theorem to find x

Mathematics

2 answers:

KonstantinChe [14]3 years ago

6 0

Answer:

i am smart

Step-by-step explanation:

you have to divide the 4squareroot2 by 5squareroot2 to get x

Vilka [71]3 years ago

5 0

Answer:

using pythagoras theorem

H^2=P^2+B^2

h=5 $\sqrt{2}$ and let P=4 $\sqrt{2}$ and B=x

so,

(5 $\sqrt{2}$ )^2=(4 $\sqrt{2}$ )^2+ $x^{2}$

50=32+ $x^{2}$

50-32= $x^{2}$

18= $x^{2}$

$\sqrt{18}$ =x

3 $\sqrt{2}$ =x

Step-by-step explanation:

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Prove that C(50,3) + C(50,4) = C(51,4)

valkas [14]

By definition of the binomial coefficient,

$C(n,k) = \dfrac{n!}{k!(n-k)!}$

so we have

$C(50,3) + C(50,4) = \dfrac{50!}{3!47!} + \dfrac{50!}{4!46!} \\\\ = \dfrac{50!}{3!46!} \left(\dfrac1{47} + \dfrac14\right) \\\\ = \dfrac{50!}{3!46!} \times \dfrac{51}{188} \\\\ = \dfrac{51!}{3!46!} \times \dfrac1{4\times47} \\\\ = \dfrac{51!}{4!47!} \\\\ = \dfrac{51!}{4!(51-4)!} = C(51,4)$

as required.

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2 years ago

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julsineya [31]

Answer:

True

Step-by-step explanation:

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The statement is TRUE.

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3 years ago

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4 years ago

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