Math  /  Geometry

QuestionUse vertices and asymptotes to graph the hyperbola. Locate the foci and find the equations of th x29y2100=1\frac{x^{2}}{9}-\frac{y^{2}}{100}=1
■) \qquad \qquad (
The foci is/are at the point(s) (109,0),(109,0)(\sqrt{109}, 0),(-\sqrt{109}, 0) (Type an ordered pair. Type an exact answer, using radicals as needed. Use a comma to separat The equation of the asymptote with the positive slope is \square The equation of the asymptote with (Simplify your answers. Use integers or fractions for any rumbers in the equation.) w an example Get more help Clear 45F45^{\circ} \mathrm{F}

Studdy Solution
The foci are at (109,0)(\sqrt{109}, 0) and (109,0)(-\sqrt{109}, 0).
The equation of the asymptote with the positive slope is y=103xy = \frac{10}{3}x.
The equation of the asymptote with the negative slope is y=103xy = -\frac{10}{3}x.
The graph of the hyperbola can be sketched using the vertices and asymptotes.

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