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Andrew [12]
3 years ago
13

7/7, solve for k, explain too please

Mathematics
1 answer:
ludmilkaskok [199]3 years ago
7 0

Answer:

k = 7.3333333  ...

You can round accordingly of write the fraction form

Step-by-step explanation:

4/k = 6/11

6 ÷ 4 = 1.5

11 ÷ 1.5 = 7.3333333 ... (repeating)

4/7.333 = 6/11

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Check the picture below.

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because the hyperbola opens vertically, the fraction with the positive sign will be the one with the "y" in it, like you see it in the picture, so without further adieu,

\bf \textit{hyperbolas, vertical traverse axis }
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\cfrac{(y- k)^2}{ a^2}-\cfrac{(x- h)^2}{ b^2}=1
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vertices\ ( h,  k\pm a)\\
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\end{cases}\\\\
-------------------------------

\bf \begin{cases}
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\\\\\\
\cfrac{(y+3)^2}{ 36}-\cfrac{(x- 2)^2}{ b^2}=1
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\\\\\\
4(10)=36+b^2\implies 40=36+b^2\implies 4=b^2
\\\\\\
\sqrt{4}=b\implies 2=b\\\\
-------------------------------\\\\
\cfrac{(y+3)^2}{ 36}-\cfrac{(x- 2)^2}{ 2^2}=1\implies \cfrac{(y+3)^2}{ 36}-\cfrac{(x- 2)^2}{ 4}=1

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