<|system|>
A hyperbola has its two foci at $(5, 0)$ and $(9, 4).$ Find the coordinates of its center.</s>.
<|user|>
Can you answer based on context?
<|assistant|>
The center lies at the midpoint of the line segment connecting the two foci, so the center has coordinates $\left(\frac{5+9}{2}, \frac{0+4}{2}\right) = (7,2).$