Whispering Gallery Jim, standing at one focus of awhispering gallery, is 6 feet from the nearest wall. His friendis standing at the other focus, 100 feet away. What is thelength of this whispering gallery? How high is its ellipticalceiling at the center?

Q: Find the focus, directrix, focal diameter, vertex and axis of symmetry for the parabola 36.2y = x?…

A: We have to find the focus, directrix, focal diameter, vertex and axis of symmetry for the parabola…

Q: Focus: (-10,0);Directrix: x =10.Find the standard form of the equation of the parabola satisfying…

A: Parabola: The focus of the parabola is (-10,0) The directrix is x=10 The vertex of the parabola is…

Q: Explain why the dots in the Figure given below lie on a parabola. Where are the focus and directrix…

A: the figure in the diagram is a circle so It should be in the form of x2+y2=K Now y =c or some…

Q: Find the equation of the parabola with focus (-3, 0) and directrix x-3.

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Q: Jim, standing at one focus of a whispering gallery,is 6 feet from the nearest wall.His friend is…

A: Given: Jim is standing at the focus of a whimpering gallery is 6 feet. His friend is standing at the…

Q: Use the Distance Formula to show that the equation of the parabola with focus F(0, 2) and directrix…

A: Given:            Focus of parabola is : F(0,2)Directrix is:​y=−2.

Q: 4. PARABOLA Focus : (3,2) FOCUS : DIRECTRIX: X=-3

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Q: Explain how to use directrix. ey = &x to find the parabola's focus and

A: Given equation of parabola is y2=8x. To find focus and directrix of parabola. Solution: Equation of…

Q: A suspension bridge with weight uniformly distributed along its length has twin towers that extend…

A: Given that a suspension bridge with weight uniformly distributed along its length has twin towers…

Q: A suspension bridge with weight uniformly distributed along its length has twin towers that extend…

A: Here we have to calculate the height of cable

Q: Determine an equation for the parabola with focus (3,2) and directrix y = -4. %3D

A: Given problem is :

Q: A bridge with a parabolic shape has an opening 128 feet wide at the base of the bridge (where the…

A: In this question we have to find that will sailboat clear the bridge without scrapping it.

Q: 2- Paraboloid what is it? explain briefly with images

A: Answer:   As per guidelines we can do only one question at a time so i had answered question 2 below…

Q: The Dufferin Gate is a parabolic arch that is approximately 20 m tall and approximately 22 m wide.…

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Q: Graphx2=8y.x2=8y.Identify and label the focus, directrix, and endpoints of the latus rectum

A: Given: The equation x2=8y, To sketch: The graph of the equation. To find: The focus, directrix and…

Q: Questio Write the equation for a length of 10 units and a full minor x-axis length of 4 units. +==1…

A: Explained below

Q: Find the focus, directrix, and focal diameter of the parabola. x² + 9y = 0 focus (x, y) = directrix…

A: topic-parabola

Q: One of the most important applications of parabola are their reflective properfties. Light rays…

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Q: Find the parabola's focus and directrix. Then sketch the parabola. x = 16y %3D

A: The standard form of parabola is x2=4ay. Now focus of this parabola is given by     (0,a) and…

Q: The arch of a bridge is a semiellipse with a horizontal major axis.The span is 30 feet, and the top…

A: Solution:Given      Span=30 ft     Top arch =10 ftTo find the vertical distance from the roadway to…

Q: A light bulb in a flashlight is at the focus of its parabolic reflector, 1.5 centimeters from the…

A: this problem consist of parabolawe know standard form of parabola is(y-k)2=4p(x-h)where (h,k) is…

Q: Highway engineers design a parabolic curve for an entrance ramp from a straight street to an…

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Q: A quarterback can throw a football in a perfect parabolic arc to a receiver 40 yards downfield. •…

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Q: Graphy2=−16x.y2=−16x.Identify and label the focus, directrix, and endpoints of the latus rectum

A: The given equation of the parabola is y2=-16x. If the parabola equation is of the form y2=4px, then…

Q: 12. Write an equation for the parabola with focus (-1, 1) and directrix y = -7.

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Q: Find the focus, directrix, vertex and axis of symmetry for the parabola 12(х — 3) — (у — 2)*. Focus…

A: Given: 12x-3=y-22 To Find: Focus, Directrix, Vertex, and axis of Symmetry Concept: If y-k2=4px-h,…

Q: Janiah can throw a softball in a perfect parabolic arc which is 70 feet, if Janiah does not feel…

A: Given that:-  Janiah can throw a soft ball in a    perfect parabolic arc             pitcher…

Q: A reflecting telescope is purchased by a library for a new astronomy program. The telescope has a…

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Q: The giant satellite dish in the figure shown is in the shape of a parabolic surface. Signals strike…

A: Given:  The diameter of the dish is 300 feet and its depth is 44 feet.     To find:      The…

Q: variable circle through the origin and touching the hyperbola xy = c

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Q: A reflector for a satellite dish is parabolic in cross section, with the receiver at the focus F.…

A: Given:                 The satellite dish is facing up in the parabolic curve   Hence,…

Q: Example: Find the focus and directrix of the parabola y? = 10x. %3D

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Q: The Focus and the Directrix of the parabola (x – 7)² = 12(y – 3) are - O Focus = (7, 6) ; Directrix:…

A: The given equation of parabola is: (x-7)2 = 12(y-3)   Find: Focus and Directrix.

Q: Find an equation of the parabola with focus (4, 4) and directrix x=0.

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Q: Focus: (-10,0);Directrix: x =25.Find the standard form of the equation of the parabola satisfying…

A: the given conditions are: focus:(-10,0) and directix: x=25 we have to find the standard form of the…

Q: The Focus and the Directrix of the parabola (x – 8)² = 8(y – 3) are | Focus (8, 5); Directrix : y =…

A: We have to choose the correct answer from the given condition

Q: Exer. 1-14: Find the vertices and foci of the ellipse. Sketch its graph, showing the foci. 9. 2. 25…

A: The vertex of ellipse x2a2+y2b2=1 is a point at which it makes its maximum turn.  Let a>b. Then…

Q: A suspension bridge with weight uniformly distributed along its length has twin towers that extend…

A: If you like the solution then please give it a thumbs up.. The Answer is:      Result  = 18.75…

Q: Exer. 1-14: Find the vertices and foci of the ellipse. Sketch its graph, showing the foci. 21 25 16…

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Q: A semielliptical arch over a tunnel for a one-way road through a mountain has a major axis of 50…

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Q: Determine the equation of the parabola, focus (-3/2,3) and directrix at x=-37/2.

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Q: The cables of a suspended-deck suspension bridge are in the shape of a parabola. The pillars…

A: Given: The cables of a suspended-deck suspension bridge are in the shape of a parabola. The pillars…

Q: The pitcher is 20 feet away in front of Janiah and the pitcher is only able to reach up to 8 feet…

A: Given that, Janiah can throw a softball in a perfect parabolic arc Pitcher is 20 feet away in front…

Q: Determine the location of the focus and the directrix of the parabola y + 6y – 8x- 23 = 0. O Focus:…

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Q: A bridge is built in the shape of semielliptical arch. It has a span of 112 feet. The height of the…

A: Let the equation of the ellipse is x2a2+y2b2=1 Here, span of arc is 112 feet ⇒2a=112 ⇒a=56…

Q: 2. Use Structure How would the parabola be different if the directrix is above the focus on the…

A: Given that: A parabola with directrix above focus.

Q: Find the parabola's focus and directrix. Then sketch the parabola. 2= - 8y %3D

A: The standard form of equation of parabola is (x-h)2=4p(y-k) where (h,k) is the vertex. The focus of…

Q: Find an equation of the parabola that has focus F(-2,2) directrix  y= -2

A: If Given the focus (h,k) and the directrix y=mx+b, then  the equation for a  parabola   is (y - mx -…

Q: Find the focus, directrix, focal diameter, vertex and axis of symmetry for the parabola 30.4y %3D…

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Q: Find the focus, directrix, and focal diameter of the parabola: x2 = -8y Focus: F( Directrix: Focal…

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Vertices Of An Ellipse

In the study of the conic section of the geometry, An ellipse is a plane curve surrounding two focal points, or foci where the set of all locus of points in the plane has their sum of the distances to the two foci is constant. On the ellipse curve, it is the intersection point of the main axis. In an ellipse graph, the center of the axis is the midpoint of the line segment connecting the foci. The major axis is the line section that runs through the ellipse's foci, while the minor axis runs through the middle and is perpendicular to the major axis.. The ellipse has two endpoints on the major axis which are known as the vertices (in plural), vertex in the singular. The equation of the major axis is 2a, the equation of the minor is 2b and the distance between the major axis and minor axis is 2c. The semi-major axis has a length of a and the semi-minor axis has a length of b. The ellipse's vertices are determined by the elliptical orbit's equation and graph.