what is the significance of the b in value of the conjugate axis?

what is the significance of the b in value of the conjugate axis?

Vertices: (±1, 0), asymptotes: y = ±3x

Vertices: (0, ±16), hyperbola passes through (−5, 24)

Foci: (±10, 0), length of transverse axis: 16

Asymptotes: y = ±x, hyperbola passes through (5, 4)

prove c squared = a squared + b squared in hyperbola. Cant find the proof any whwere.

Find the points of tangency given f(x) = 15/2/x is tangent to x2/25 + y2/9 = 1

Find an equation in standard form for the hyperbola that satisfies the given conditions: Transverse axis endpoints (3,3) and (3,−1), conjugate axis length 8

A comet following a hyperbolic path about the Sun has a perihelion of 180 Gm. When the line from the comet to the Sun is perpendicular to the focal axis of the orbit, the comet is 562.5 Gm from the...

A road passes through a tunnel in the form of a semi-ellipse. In order to widen the road to accomodate more traffic,engineers must design a larger tunnel that is twice as wide and 1.5 times as tall...

Find an equation in standard form for the hyperbola that satisfies the given conditions: Foci (−9,2) and (−1,2), transverse axis endpoints (8,2) and (-2,2).

The arch of a bridge is a semi ellipse with a horizontal major axis. The span is 30ft and the top of the arch is 10ft above the major axis. The roadway is horizontal and is 2ft above the top of the...

Suppose the hyperbola x2/a2 - y2/1 = 1 has a large value for a. Describe how the graph would appear.

Find an equation for the hyperbola that satisfies the given conditions: Vertices (0±4) Asymptotes y=±( 1/2)x

The answer obtained is the hyperbola x2/4-y2/12 = 1. With b > a the foci do not coincide.... What is the correct answer With b2 > a2, the hyperbola will be vertical. How will...

(x+1)2 - (y-3)2 =1 9. 16. Find the center , foci,vertices, and asymptotes of the hyperbola

change this equation in standard form by completing the square.

Find an equation for the hyperbola that satisfies the given conditions: Foci (0,±6), asymptotes y=±(1/3)x

please solve for y for this hyperbola question

I've got two LORAN stations A and B that are 500 miles apart. A and B are also the Foci of a hyperbola. A ship at point P (which lies on the hyperbola branch with A as the focus) receives a nav signal...