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4 years ago

X= √9 x √144 -42 Wouldn’t it be -6

Mathematics

1 answer:

densk [106]4 years ago

3 0

Answer:

Yes, it is -6

Step-by-step explanation:

That is because the square root of 9 is 3 and the square root of 144 is 12, so after taking the square roots you have: 3*12 -42 = -6

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Read 2 more answers

Which is the graph of the linear inequality 2x-3y < 12?

defon

Answer:

First, transform the given equation into the slope-intercept form, y = mx + b.

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2 years ago

1 If a = p^1/3-p^-1/3<br>prove that: a^3 + 3a = p - 1/p

alexandr402 [8]

Hello, please consider the following.

We know that

$a = p^{\frac{1}{3}}-p^{-\frac{1}{3}}\\\\=p^{\frac{1}{3}}-\dfrac{1}{p^{\frac{1}{3}}}$

And we can write that.

$(p-\dfrac{1}{p})^3=(p-\dfrac{1}{p})(p^2-2+\dfrac{1}{p^2})\\\\=p^3-2p+\dfrac{1}{p}-p+\dfrac{2}{p}-\dfrac{1}{p^3}\\\\=p^3-\dfrac{1}{p^3}-3(p-\dfrac{1}{p})$

It means that, by replacing p by $p^{1/3}$

$(p^{1/3}-\dfrac{1}{p^{1/3}})^3=p-\dfrac{1}{p}-3(p^{1/3}-\dfrac{1}{p^{1/3}})\\\\\\\text{ So }\\\\a^3=p-\dfrac{1}{p}-3a\\\\\boxed{ a^3+3a=p-\dfrac{1}{p} }$

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

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3 years ago