56 Answered Questions for the topic Hyperbola

10/25/21

#### SITUATIONAL PROBLEMS INVOLVING CONIC SECTIONS

Find all parabolas whose focus is a focus of the hyperbola 9x2 -16y2 +144x -320y -1600 = 0 and whosedirectrix contains the top side of the hyperbola’s auxiliary rectangle.

08/31/21

#### How would I explain the maths leading to the equation of a hyperbolic paraboloid?

How could I explain, in a clear and relatively easy manner how one ends up the function of an hyperbolic paraboloid? Like how do we know that its formula is what it is and how would one explain how... more

08/31/21

#### How would I explain the maths leading to the equation of a hyperbolic paraboloid?

How could I explain, in a clear and relatively easy manner how one ends up the function of an hyperbolic paraboloid? Like how do we know that its formula is what it is and how would one explain how... more

06/18/21

#### Determining degernerate conics

How can I tell the type of this conic, and determine if it is degenerate or not?x2 + 4xy + 2x + 2y2 - 1 = 0
Hyperbola Math Algebra Equation

04/16/20

#### Equation of Hyperbola — Help!!

Hi! please help me!Question:A light on a wall produces a shadow in the shape of a hyperbola. If the distance between the two vertices of the hyperbola is 10 inches and the distance between the two... more
Hyperbola Precalculus

11/17/19

#### Pre Calculus Hyperbola Question

The sides of a nuclear power plant cooling tower form a hyperbola. The diameter of the bottom of the tower is 319 feet. The smallest diameter of the tower is 185 which is 380.5 feet above the... more
Hyperbola Precalculus

08/02/19

#### Hyperbola: a² > b²

In precalculus, the standard equation of a hyperbola with center at coordinates (0,0) is x² / a² - y² / b² = 1.Is it true that a² > b².
Hyperbola Algebra 2

07/14/19

#### Please help me solve this.

Two radio stations are located 150 miles apart, where station A is west of station B. Radio signals are being transmitted simultaneously by both stations, travelling at a rate of 0.2 miles per... more

07/01/19

#### Write the equation of a hyperbola with vertices at (-3, 0) and (3, 0) and co-vertices (0, 5) and (0, -5).

Write the equation of a hyperbola with vertices at (-3, 0) and (3, 0) and co-vertices (0, 5) and (0, -5).
Hyperbola Algebra 2 Equation

03/21/19

#### equation of a hyperbola

Precalculus Question:Two radar sites are tracking an airplane that is flying on a hyperbolic path. The first radar site is located at (0,0), and shows the airplane to be 200 meters away at a... more
Hyperbola

12/10/17

#### Find an equation for the hyperbola that satisfies the given conditions.

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

11/17/17

#### how is it that the b squared in the equation of the hyperbola is equal to the sqaure of the semi conjugate axis with length b?

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

11/16/17

#### prove c squared = a squared + b squared in hyperbola

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

09/30/17

#### Find the equation in standard form for the hyperbola that satisfies the given conditions:

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

09/20/17

#### find the points of tangency

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

09/15/17

#### What are the coordinates of the center of the Sun if the center of the hyperbolic orbit is​ (0,0) and the Sun lies on the positive​ x-axis?

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... more

07/31/17

#### Answer the situational problem involving ellipse and hyperbola

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... more

07/31/17

#### Answer the situational problem involving ellipse and hyperbola

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... more
Hyperbola Equations Asymptotes

07/24/17

#### Equation of hyperbola

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

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