Analyze the equation. That is, find the center, vertices, and foci of the ellipse and graph \( \frac{x^{2}}{64}+\frac{y^{2}}{25}=1 \) What are the coordinates of the center? \( \square \) (Type an ordered pair.)

14. The actual area of a park is \( 0.08 \mathrm{~km}^{2} \). If the area of the park on a map is \( 32 \mathrm{~cm}^{2} \), then the scale of the map is A. \( 1: 250 \). B. \( 1: 5000 \). C. \( 1: 40000 \). B. \( 1: 25000000 \).

The Question \( 11,9.2 .5 \) > Find the standard form of the equation of the hyperbola satisfying the given conditions. Foci at \( (0,-5) \) and \( (0,5) \); vertices at \( (0,2) \) and \( (0,-2) \) The equation is \( \square \).

Calculate the slope for the line given by the points \((-1, -4)\) and \((4, 2)\).

24. The bearing of \( A \) from \( O \) is \( \$ 48^{\circ} \mathrm{E} \) and the bearing of \( B \) from \( O \) is \( S 24^{\circ} \mathrm{W} \). If \( A O=A B \), then the bearing of \( B \) from \( A \) is A. \( \$ 34^{\circ} \mathrm{E} \). B. \( \mathrm{S} 84^{\circ} \mathrm{E} \). C. \( \mathrm{N} 34^{\circ} \mathrm{W} l \) D. \( \mathrm{N} 84^{\circ} \mathrm{W} \).

Find the center, transverse axis, vertices, foci, and asymptotes. Graph the equation. \[ y^{2}-4 x^{2}-24 x-8 y-24=0 \] The center of the hyperbola is at \( (-3,4) \). (Type an ordered pair.) The transverse axis is parallel to the y-axis. The vertices are at \( (-3,6),(-3,2) \). (Type an ordered pair. Use a comma to separate answers as needed.) The foci are at \( (-3,4+\sqrt{5}),(-3,4-\sqrt{5}) \). (Simplify your answer. Type an ordered pair. Type an exact answer, using radicals as needed. Use as needed.) The asymptotes are \( \square= \pm(\square) \). (Simplify your answers. Use integers or fractions for any numbers in the expressions.)