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bonufazy [111]
3 years ago
5

Explain how the following terms are related: linear relationship, proportional relationship,

Mathematics
1 answer:
Alex777 [14]3 years ago
3 0
Numbers are related in all of them
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The standard equation of a hyperbola is expressed as

\begin{gathered} \frac{(x-h)^2}{a^2}-\frac{(y-k)^2}{b^2}=1\text{ \lparen parallel to the x-axis\rparen} \\ \frac{(y-k)^2}{a^2}-\frac{(x-h)^2}{b^2}=1\text{ \lparen parallel to the y-axis\rparen} \end{gathered}

Given that the hyperbola has its foci at (0,-15) and (0, 15), this implies that the hyperbola is parallel to the y-axis.

Thus, the equation will be expressed in the form:

\frac{(y-k)^2}{a^2}-\frac{(x-h)^2}{b^2}=1\text{ ----equation 1}

The asymptote of n hyperbola is expressed as

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Given that the asymptotes are

y=\frac{3}{4}x\text{ and y=-}\frac{3}{4}x

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a=3,\text{ and b=4}

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