What is a parabola? What are the Cartesian equations for parabo-las whose vertices lie at the origin and whose foci lie on the co-ordinate axes? How can you find the focus and directrix of such a parabola from its equation?

Q: What is the equation of a parabola in vertex form with vertex (-5, -9) and directrix y = -13?

A: The parabola has vertex -5,-9 and directrix y=-13

Q: What is the standard equation of the hyperbola

A:

Q: What is a parabola? What are the Cartesian equations for parabolas whose vertices lie at the origin…

A: What is a parabola? What are the Cartesian equations for parabolas whose vertices lie at the origin…

Q: What’s the difference between the equations for locating an ellipse’s foci and locating a…

A: It is known that for ellipse the equation of the foci is c2=a2-b2,where c is the foci,a is the…

Q: What is the standard equation of a hyperbola?

A: Our Aim is to tell the standard equation of a hyperbola.

Q: The cables that hold up a suspension bridge form a parabola. The distance between the towers is 600…

A: Given that, the distance between towers as 600 feet and the height of each tower is 500 feet from…

Q: Two LORAN radio stations A and B are 190 kilometers apart and send a simultaneous radio signal to a…

A: Given Data The distance between the radio station A and B are d=190 km. The time is t=0.0003 s. The…

Q: A ship is following a course that is 104 miles from and parallel to a straight coastline. The ship…

A: Given: Let A represent the location of origin. As a result, its coordinate is (0,0). Because the…

Q: How is a hyperbola different from a parabola?

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Q: Graph the parabol 1 %3D -/-

A:

Q: What is a hyperbola?

A: Consider the given "hyperbola"

Q: What must be true of the foci of a hyperbola? The foci must lie --Select--- of the hyperbola and…

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Q: Find an equation for the hyperbola that has its center at the origin and satisfies the given…

A: We have, a hyperbola satisfies the given conditions as vertical transverse axis of length 10,…

Q: The vertical line passing through the vertex of a parabola is called the ......... .

A: Given The vertical line passing through the vertex of a parabola is called the ......... .

Q: The line perpendicular to the directrix and passing through the focus of a parabola is called the…

A: Given:

Q: A parabolic arch has a span of 120 feet and a maximum height of 25 feet. Choose suitable rectangular…

A: Given, a parabolic arch which has a span of 120 feet and a maximum height of 25 feet. Both positive…

Q: What is the directrix of a hyperbola?

A: We need to explain what is meant by directrix in hyperbola and find its equation.

Q: What are the equations of the asymptotes of a standard hyperbola with vertices on the x-axis?

A: Find the equations of the asymptotes of a standard hyperbola with vertices on the x-axis.

Q: If the center of an ellipse is (3, –2), the major axis is horizontal and parallel to the x-axis, and…

A: An ellipse is a conic with eccentricity between 0 and 1. It has two axes: major axis and a minor…

Q: Two LORAN radio stations A and B are 200 kilometers apart and send a simultaneous radio signal to a…

A: Concept: A collection of points defines a hyperbola when the difference of distances between two…

Q: The line segment perpendicular to the axis of symmetry, passing through the focus and with endpoints…

A: Given:The line segment perpendicular to the axis of symmetry, passing through the focus and with…

Q: Determine whether the statement "It is possible for a parabola to intersect its directrix", is true…

A: The given statements is "It is possible for a parabola to intersect its directrix".

Q: Find an equation in standard form for the hyperbola that satisfies the given conditions. Transverse…

A: In a hyperbola the straight line joining two vertices is the Transverse axis Distance between the…

Q: focus shaded region has area 8

A: we know that equation of parabola is given by x2=-4ay where, focus is 0,-a, vertex is 0,0 and…

Q: What is a parabola? Describe its shape.

A: We have to define parabola and describe it shape.

Q: A parabola is shown below. Its vertex and another point on the parabola are label- Write an equation…

A:

Q: Suppose that point A(-4,0) lies on a parabola whose focus is at (5,3). What is the length of the…

A:

Q: What is a hyperbola? What are the Cartesian equations for hyperbolas centered at the origin with…

A:

Q: length of the latus rectum of a hyperbola is equal to 18 and the di equation of the curve if the…

A: The length of the latus rectum = 18,  The distance between the foci = 12,  We have to find the…

Q: Two LORAN radio stations A and B are 110 kilometers apart and send a simultaneous radio signal to a…

A: We have to find the equation of Hyperbola.

Q: 8.) Parabolas having their vertices at the origin and their foci on the y-axis

A: This is a differential equation problem

Q: A parabola is shown below. Its vertex and another point on the parabola are labeled. Write an…

A: Given Parabola,

Q: If the focal length of a parabola is 6 units and the vertex is (3, 2), is it possible to determine…

A: Focal length of a parabola is 6 units and the vertex is (3, 2).

Q: Why is distance between vertices for hyperbola equal to 2a?

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Q: What is the equation for a parabola

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Q: Find the standards form of the equations of the below parabolas with the given characteristics.

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Q: The line segment perpendicular to the transverse axis passing through the center of a hyperbola, and…

A: Consider a parabola figure

Q: 1) WHAT IS THE DIFFERENCE BETWEEN THE EQUATIONS FOR PARABÓLAS, ELLIPSES, CIRCLES AND HYPERBOLAS?

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Q: A parabolic arch has a span of 48m and has a height of 20m at a distance 16m from the center of the…

A: It is at a distance 16m from the center of the span.To Find:1. What is the height of the parabolic…

Q: What equation is used to find the foci of a hyperbola?

A: The hyperbola which is having transverse axis along x-axis is given by x-h2a2-y-k2b2=1 where h,k is…

Q: How is the axis of symmetry related to the vertex, focus, and directrix of a parabola?

A: See the attachment below

Q: The cable of a suspension bridge is in the form of a parabola. The towers supporting the cable are…

A: Given that The cable of a suspension bridge is in the form of a parabola. The towers supporting the…

Q: A cable durpended between two Do po has a Jag of 1. 20 meters apart a form of a parabola, find its…

A: The distance between the pole = 20 m and the sag of 112 m=32 m. We have to find the equation of the…

Q: Determine the standard form of equation of a hyperbola with center at (6,4), with a focus at (6, –…

A:

Q: Two LORAN radio stations A and B are 140 kilometers apart and send a simultaneous radio signal to a…

A:

Q: What is the length of the transverse axis of the hyperbola whose foci are (0, -5) and (0,5) , and…

A: The foci of Hyperbola are:   (0, -5)  and  (0, 5). Length of transverse axis of Hyperbola is:  2a…

Q: Find the equation for the parabola that has its vertex at the origin and has directrix at a The…

A: Given that, Vertex of the parabola are, (h, k) = (0, 0) And diretrix of parabola is x = - 12 We have…

Q: What is a hyperbola? What are the Cartesian equations for hy-perbolas centered at the origin with…

A: Problem 1:Recall the following fact.

Maximization

Have you ever seen a bridge in the shape of a parabola? Where is its maximum on the bridge? The maximum of that bridge is the highest point on that bridge. The process of finding the maximum of the bridge here is called the maximization.