(Solved):   A table lamp emits light in the shape of a hyperbola. If the hyperbola is modeled by the e ...

 

A table lamp emits light in the shape of a hyperbola. If the hyperbola is modeled by the equation \( 25 x^{2}-144 y^{2}+3,600=0 \), which of the following equations represents the boundaries of the light? \begin{tabular}{|} \( 0 y-\frac{5}{12} x \) and \( y=-\frac{5}{12} x \) \\ \( 0 y=-\frac{12}{5} x \) and \( y=-\frac{12}{5} x \) \\ \( 0 y-\frac{5}{13} x \) and \( y=-\frac{5}{13} x \) \\ \( 0 y-\frac{13}{5} x \) and \( y=-\frac{13}{5} x \) \end{tabular} Which standard form of the equation of the hyperbola has vertices at \( (12,0) \) and \( (-12,0) \), and asymptotes \( y=\pm \frac{5}{12} \times \) ?