Get a piece of bond paper and wrapped around a cylindrical bottle, and then use a compass to draw a circle on the paper, as shown in the figure. When the paper is laid flat, is the shape drawn on the paper an ellipse? Explain your findings.

Q: To form an ellipse, what is the relationship between the base of the cone and the angle of the plane…

A: We can answer the question as below.

Q: A lithotriper is used to disentergrate kidney stones. The patient is placed within an elliptical…

A: Given Data The length major axis of ellipse is a=40 cm. The length minor axis of ellipse is b=20 cm.…

Q: Draw the ellipse 5(x − 1) 2 + 4(y − 1) 2 = 25, labeling all important information.

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Q: In this activity, you are going to supply what is being asked in each item. Use the given figure of…

A: Given that: Graph of an ellipse.

Q: A radio telescope has a parabolic surface. If it is 9 m deep and 12 m wide, how far is the focus…

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Q: Given an ellipse with the equation 1, the distance between the foci is 2 units 3 units 4 units 8…

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Q: Charles and Bernice ("Ray") Eames were American designers who made major contributions to modern…

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Q: 61. Charles and Bernice ("Ray") Eames were American designers who made major contributions to modern…

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Q: Charles and Bernice (“Ray”) Eames were American designers who made major contributions to modern…

A: coffee table 90 in. long and 30 in with center at (0,0)So, 2a=90 and 2b=30a=45, b=15

Q: Given: Foci: (2,1) (10,1) c = 4 a=? b=? Center: (6,1) Find the standard form of the ellipse

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Q: The reflector of a flashlight is in the shape of a parabolic surface.The casting has a diameter of 4…

A: to find the vertex.

Q: The curved edge of the door mat below is half an ellipse, a "semi-ellipse". As shown in the figure…

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Q: Let a, b > 0. (a) Calculate the area inside the ellipse given by the equation 1. 62 || a²

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Q: Which conic section is formed in the image shown? O Circle O Parabola Ellipse O Hyperbola

A: we have to select the formation of an image

Q: Given the value of eccentricity of the ellipse, which among the following has a graph which is…

A: Let us first see what is meant by eccentricity, Eccentricity can be defined how much a conic section…

Q: The reflector of a flashlight is in the shape of a parabolic surface. The casting has a diameter of…

A: Parabola is a locus of such points whose distance is equal from a fixed point and fixed line. The…

Q: The reflector of a flashlight is in the shape of a parabolic surface. The casting has a diameter of…

A: The casting has diameter 8  inches. Hence 2x=8, we have, x=4 inches Also depth = 1 inch, hence, y=1

Q: A horizontal bridge is in the shape of a parabolic arch.Given the information shown in the figure,…

A: A horizontal bridge is in the shape of a parabolic arch. Given the information shown in the figure…

Q: The major axis of the elliptical path in which the earth moves around the sun is approximately…

A: Use the properties of ellipse and formula for apogee.

Q: The reflector of a flashlight is in the shape of a parabolic surface.The casting has a diameter of 8…

A: Since, it is given that the reflector of the flashlight has the shape of parabola.Suppose the…

Q: A window is constructed with the top half of an ellipse on top of a square. The square portion of…

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Q: find the area of the ellipse shown in the figure

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Q: Is It an Ellipse? A piece of paper is wrapped around a cylindrical bottle, and then a compass is…

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

A: A parabola is a type of curve which where the distance of any point of the curve is same from one…

Q: The distance between the vertices of an ellipse is 10. The distance between the foci is 6. What is…

A: Given query is to find the distance between directrices.

Q: Show that an equation of the form Ax2 + Cy2 + F = 0 A ≠ 0, C ≠ 0, F ≠ 0 where A and C are of the…

A: Given: The equation is  Ax2+Cy2+F=0A≠0, C≠0, F≠0 Where A and C are of same sign and F is of opposite…

Q: Find the eccentricity of the ellipse described by the equation 2/2 3 3 O None of these.

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Q: The lengths of the major and minor axes of an ellipse are 10 m and 8 m, respectively. What is the…

A: Topic  =Geometry

Q: The curved edge of the door mat below is half an ellipse, a "semi-ellipse". As shown in the figure…

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Q: The Statuary Hall in the Capitol Building in Washington, D.C. is a whispering chamber. Its…

A: The given dimensions are, 46 feet wide by 96 feet long as shown in Figure. Here, 96/2 = 48 and 46/2…

Q: Given the following information, write the equation of the ellipse. Sketch and find the foci.…

A: Solution is given as below:

Q: Explain why the dots in Figure 23 lie on a parabola. Where are the focus and directrix located? y=…

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Q: 2. A carpenter is cutting a 3 ft. by 4 ft. elliptical sign from a 3 ft. by 4 ft. piece of plywood.…

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Q: Given the ellipse below, determine the direction of the major axis and its length. y? 1 100 4…

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Q: A carpenter is cutting a 3 ft. by 4 ft. elliptical sign from a 3 ft. by 4 ft. piece of plywood. The…

A: Given- Semi major axis a=2 ft.             Semi minor axis b=1.5 ft. To Find- a. How far from the…

Q: For Exercise, determine the eccentricity of the ellipse. y? 100 64

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Q: The reflector of a flashlight is in the shape of a parabolic surface. The casting has a diameter of…

A: Here we use the concept of conic section

Q: The curved edge of the door mat below is half an ellipse, a "semi-ellipse". As shown in the figure…

A: Let us draw the figure into the cartesian coordinate system with center at origin 0,0  and the major…

Q: What is the length of the major axis of ellipse given by the equation 81 + =1? 144 24 units 9 units…

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Q: A racetrack is in the shape of an ellipse, 280 feet long and 50 feet wide. What is the width 10 feet…

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Q: A lithotripter machine uses an elliptical reflector to break up kidney stones nonsurgically. A spark…

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Q: An ellipse is a circle if and only if a-b equals what?

A: Given that an ellipse is a circle.

Q: Given this equation for an ellipse, 9x + 4y? 36x + 24y + 36 = 0 change it to standard form. %3D |…

A: we know that the general equation of circle will be x^2+y^2+2gx+2fy+c=0 that is 2g=-36 g=-18 2f=14…

Q: The arch of the fireplace below is half an ellipse, a "semi-ellipse". As shown in the figure below,…

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Q: :The correct choice to draw the following Ellipse is 30,100 Rotation=45°) 120,100 Center 2-points…

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Q: 1 S- -dx xx

A: As per Bartley guidelines we are supposed to answer only one question per post. This post contains…

Q: 9. 49

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Q: Draw the ellipse 5(? − 1) 2 + 4(? − 1) 2 = 25, labeling all important information.

A: Consider the ellipse  5x−12+4y−12=25

Q: The curved edge of the door mat below is half an ellipse, a "semi-ellipse". As shown in the figure…

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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.