The Kobe Port Tower is a hyperbolic telecommunications tower in Kobe, Japan. It has a cross section that is a hyperbola. The height of the tower is 108 meters and the narrowest point is 65.5 meters above the ground. At that narrowest point the tower is only 8.2 meters wide. The diameter of the base of the tower is 25 meters. Use this information to place a hyperbola in a coordinate system and reason out its equation. Show all work on this page.

Q: Given the focus and directrix of a parabola, identify its important characteristics. 10 8 -10 -8 -6…

A:

Q: Find an equation of a hyperbola in the form x2 /M - y2 /N = 1 M,N > 0 if the origin is at the…

A: Solution is given below:

Q: Find the equation of the hyperbola in standard form centered at the origin with a vertical…

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

A: A hyperbola has two curves that do not touch each other.  A hyperbola is a curve whose equation is…

Q: Given the focus and directrix of a parabola, identify its important characteristics. 10 8 -10 -8 -6…

A:

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

A: equation of parabola:-

Q: What is the standard equation of a hyperbola?

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

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?

A:

Q: What is a hyperbola?

A: Consider the given "hyperbola"

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 cables of the middle part of a suspension bridge are in the form of a parabola, and the towers…

A: Explained below

Q: Find the standard form of the equation of the parabola with the given characteristics Vertex: (0, 5)…

A: Given vertex and directrix are (0, 5) and y= -3. The equation of parabola is x-h2=4py-k where (h, k)…

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

A: Given: Foci F0,±5, conjugate axis of length 4 For given data transverse axis is on y-axis and…

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: The Arecibo Observatory in Puerto Rico was just decommissioned after sustaining a lot of damage, but…

A: It is given that, the height of the focus from the vertex is 500 feet and it is 1000 feet wide at…

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: A cooling tower for a nuclear reactor is to be constructed in the shape of a hyperboloid of one…

A: Given a cooling tower for a nuclear reactor is to be constructed in the shape of a hyperboloid of…

Q: Deandre, an engineering intern was asked by his fellow students to heip them determine the standard…

A:

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: 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 the equation of a parabola with a vertex at (4, 8) and a directrix at y=5

A:

Q: The distance from the center to a vertex of the hyperbola 4 16 is

A:

Q: A rectangular object 25 m wide is to pass under a parabolic arch that has a width of 32 m at the…

A: The arch can be modeled by the vertex form of a parabola centered at the origin with the base being…

Q: 13.2y – x = 4

A:

Q: Find the equation of the hyperbola whose center is at point (4,−1), transverse axis parallel to…

A:

Q: Find the standard equation of the hyperbola that satisfies the conditions.

A:

Q: Define the term parabola?

A: Given: The term parabola.

Q: A pair of buildings on a college campus are shaped and positioned like a portion of branches of the…

A:

Q: The parabola y = x² is shifted up by 4 unit %3D What is the equation of the new parabola?

A: Parabola:y=x2  shifted up by 4 units

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

A:

Q: If the directrix is horizontal, then the parabola opens (horizontally/vertically).

A: Given:We must find the missing word in the given sentence.So, Definition of parabola said:A parabola…

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

A:

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

A: Explanation:

Q: What is a parabola in words? I know what they look like and how to make one but geometrically…

A: A parabola can be defined by couple of definitions.

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: Two large airship hangars were built in Orly, France, in the early 1900s but were destroyed in World…

A: (a). It is given that, the length of hangars is 175 m, the width of the hangers is 90 m and the…

Q: What is the equation of the parabola with vertex at (0, 0) and directrix y = 3 in standard form.…

A: Given vertex 0,0 and directrix y=3. We have to find equation of parabola.

Q: 8x2 + 2y2 – 48x - y = 2y2 - 73 %3D

A:

Q: Find out whether the equation 9x2 + 126x - 16y2 - 96y + 153 = 0 represents a hyperbola. If it is a…

A: Since the coefficient of x2 is positive and y2 is negative. Therefore, it is a hyperbola 9x2 + 126x…

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: The tunnel is semi-ellipse im shape that is 12 feet high at the center and 28 feet across.Will a…

A:

Q: The hyperbola centered at the origin with vertices (0, 9) and (0, -9) and a conjugate axis 16 units…

A: Vertices = (0 , ±a) length of conjugate axis = 2b equation of hyperbola = y2a2-x2b2=1

Q: Find a Cartesian equation for the hyperbola centred at (3,0) with x=1 as one equation of the…

A:

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.