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torisob [31]
3 years ago
7

PLEASE HELP!

Mathematics
2 answers:
scZoUnD [109]3 years ago
4 0

The ninth root of 3 is correct, it was the correct answer on my test.

____ [38]3 years ago
3 0
The correct answer is "the ninth root of 3"  because w<span>hen you have a number to an exponent, and that quantity to another power, you multiply the two exponents</span>
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Check the picture below, so the hyperbola looks more or less like so, so let's find the length of the conjugate axis, or namely let's find the "b" component.

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\begin{cases} h=0\\ k=0\\ a=2\\ c=4 \end{cases}\implies \cfrac{(x-0)^2}{2^2}-\cfrac{(y-0)^2}{b^2} \\\\\\ c^2=a^2+b^2\implies 4^2=2^2+b^2\implies 16=4+b^2\implies \underline{12=b^2} \\\\\\ \cfrac{(x-0)^2}{2^2}-\cfrac{(y-0)^2}{12}\implies \boxed{\cfrac{x^2}{4}-\cfrac{y^2}{12}}

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