A table lamp emits light in the shape of a hyperbola. If the

03 06 MC The hyperbolic orbit of a comet is represented on a coordinate plane with center at 0 4 One branch has a vertex at 0 10 and its respective focus at 0 14 Which equation represents the comet s orbit O O O y 4 x 36 y 4 x 100 36 64 52 1 64 1 x y 4 100 36 1 y 4 1 36

Graph the hyperbola using the transverse axis vertices and co vertices y x 22 12 1 9 36 Use the green key point to change the orientation of the transverse axis and the red key points to adjust the locations of the vertices and co vertices Provide your answer below 10 10 0 2 10 2 0 10

A table lamp emits light in the shape of a hyperbola If the hyperbola is modeled by the equation 25x 144y 2 3 600 0 which of the following equations represents the boundaries of the light Oy 5 12 5 x and y 12 X Oy 12x and y 12x 5 5 5 Oy x and y x X 13 13

Find the standard form of the equation of the hyperbola satisfying the given conditions. x-intercepts ±6, foci at (-10,0) and (10,0)

Use vertices and asymptotes to graph the hyperbola. State the coordinates of the vertices. Find the equations of the asymptotes. 1) (x^2/4)-(y^2/16)=1

Given an hyperbola which passes through point P has vertices V, and V₂, and has foci F, and F₂, which of the following statements is a fact about hyperbolas? Choose the correct statement below. A. If 2a is the length of the conjugate axis, then |d (P,V₁)-d(P,V₂)|= 2a. B. If 2a is the length of the transverse axis, then d (P,F₁)-d(P,F₂)|=2a. C. If 2a is the length of the transverse axis, then |d (P,V₁)-d(P,V₂)|=2a. D. If 2a is the length of the conjugate axis, then |d (P,F₁) -d (P,F₂)|=20.

Find the center, vertices, foci, and the equations of the asymptotes of the hyperbola. (If an answer does not exist, enter DNE.) (x^2)/9 - (y)^2/25 =1

Write an equation for the hyperbola with center at (5, – 4), focus at (8, – 4), and vertex at (7, - 4). An equation for the hyperbola is ____ .

The cross-section of a nuclear power plants cooling tower is in the shape of a hyperbola. Suppose the tower has a base diameter of 264 meters and the diameter at its narrowest point, 56 meters above the ground, is 88 meters. If the diameter at the top of the tower is 176 meters, how tall is the tower?

The cross-section of a nuclear power plant's cooling tower is in the shape of a hyperbola. Suppose the tower has a base diameter of 210 meters and the diameter at its narrowest point, 48 meters above the ground, is 70 meters. If the diameter at the top of the tower is 140 meters, how tall is the tower?