A hyperbola centered at the origin has a vertex at (0,−40) and a focus at (0, 41). which are the equations of the asymptotes? y

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2 years ago

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= ±x y = ±x y = ±x y = ±x

1 answer:

lord [1] · Answer 1 · 2023-07-19T14:23:40+03:00

The equations of the asymptotes of the given hyperbola are; y = ±(40/9)x

<h3>How to Interpret the equation of a hyperbola?</h3>

We are given;

Vertex at (0,−40)

Focus at (0, 41).

Thus, the equation of the asymptote of the given hyperbola is;

y = ±(40/(√41 - (-40))

y = ±(40/(√81)

y = ±40/9

Read more about Hyperbola Equation at; brainly.com/question/13003184

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