Write an Equation for the Hyperbola $\frac { x ^ { 2 } } { 23 } - \frac { y ^ { 2 } } { 16 } = 1$

question 32

Multiple Choice

Write an equation for the hyperbola.
-A comet follows the hyperbolic path described by $\frac { x ^ { 2 } } { 23 } - \frac { y ^ { 2 } } { 16 } = 1$ , where $x$ and $y$ are in millions of miles. If the sun is the focus of the path, how close to the sun is the vertex of the path?

• A) 39 million mi
• B) \(7.4\) million mi
• C) \(1.4\) million mi
• D) \(4.8\) million mi

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