How can we tell from the equation if the ellipse will have a major axis that is parallel to the horizontal axis or vertical axis? Be specific and use complete sentences.

Q: Write the standard form equation for each ellipse described. Major axis length 6 on the y-axis,…

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Q: Write an equation for the ellipse with each set of characteristics. а) foci (–6, 9), (–6, –3);…

A: Write an equation for the ellipse with each set of characteristics. а) foci (–6, 9), (–6, –3);…

Q: An ellipse is given by the equation 8x2 + 2y2 = 32. Find, a. center = (0 b. major radius = c. minor…

A: Given equation of ellipse is 8x2+2y2=32. To find: (a) Center    (b) Major radius   (c) Minor radius…

Q: Write the equation of an ellipse with minor axis endpoints (co-vertices) at (0, 3) and (0, -3) and…

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Q: What is the equation of an ellipse that has vertices of (2,-1) and (2,7) and it's minor axis is a…

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Q: Which of the following is the equation of a vertical ellipse 20 and minor axis = 10? with center (-9…

A: To find the equation of the vertical ellipse :

Q: Find an equation of the ellipse having a major axis of length 10 and foci at (-2, 4) and (-2, -2).

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Q: Give the property that defines all ellipses.

A: To determine: Properties that define all ellipses.

Q: Given an equation of an ellipse in standard form, how do you determine whether the major axis is…

A: Standard form of ellipse:

Q: What are the focus of ellipse with an equation of 4x2+y2=100?

A: We know that; The standard equation of the ellipse is: x-h2a2+y-k2b2=1 Where; Center is at: h,k…

Q: 7. Explain how to identify the major and minor axes of an ellipse are by looking at both the graph…

A: The ellipse is a 2-dimensional shape, which is made according to the property that the sum of…

Q: Find lengths of minor and major axis for ellipse that has equation 16x2 + 4y2 = 16

A: Given, 16x2 + 4y2 = 16

Q: Write the standard form equation for each ellipse described. Foci (2,0) and (-2,0), major axis…

A: We will use basic given information to find missing variables

Q: The distance between foci of an ellipse is 6 and its major axis is 10, find the length of the latus…

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Q: 2. Explain how to identify the major and minor axes of an ellipse are by looking at both the graph…

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Q: Find an equation for the ellipse that satisfies the given conditions. Length of major axis: 6,…

A: Given,Length of major axis = 6           length of minor axis = 4  and  foci on x-axis

Q: A racetrack is in the shape of an ellipse 100 feet long and 50 feet wide. What is the width 10 feet…

A: Given that shape of ellipse is 100 feet long and 50 feet wide. Draw a rough sketch showing the given…

Q: Katalin rides her bike through a tunnel shaped like the top half of an ellipse. The tunnel is 11…

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Q: Find an equation of the ellipse having a major axis of length 10 and foci at (-3, 3) and (- 3, – 3).

A: This is a problem of locus and analytical geometry.

Q: What is the equation of this ellipse?

A: equation of ellipse with centre as origin and a and b are semi major and minor axis. here a = 1 b =…

Q: A race track is in the shape of an ellipse. The track is 100 feet long and 50 feet wide. Find the…

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Q: In your own words, explain how an ellipse could be made using 2 tcks, a piece of string and a…

A: See the attached document.

Q: Write an equation for the ellipse that satisfies each set of conditions. 16. major axis 16 units…

A: Solution

Q: State the formula for Ellipse in Standard Position.

A: The formula for Ellipse in Standard Position.

Q: What is the equation of the given ellipse? YA

A: Vertex ( -3 , 2 ) covertex ( -1 , -1.5 )   Center= ( h , k )= ( -3 , - 1.5 )   Major axis b = 2 - (…

Q: Find an equation for the ellipse that satisfies the given conditions. Endpoints of major axis: (410,…

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Q: What is the center, the major axis length, the minor axis length and the equation of the ellipse…

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Q: The line through the foci intersects an ellipse at two points called _____.

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Q: Explain how to locate the foci of an ellipse from the graph.

A: a conic having its eccentricity less than 1 is called an ellipse. i.e, the locus of points whose…

Q: 26. Explain how the equation of an ellipse is related to the equation of a circle?

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Q: Write the equation of the ellipse that contains the point (square root of 5, 2) has a major axis of…

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Q: A certain bridge arch is in the shape of half an ellipse 104 feet wide and 32.3 feet high. At what…

A: Given , a certain bridge is in the shape of half an ellipse which is104 feet wide & 32.3 feet…

Q: Write the equation of the ellipse with foci (0,-6) and (0,6) and x-intercepts (2,0) and (-2,0).

A: Use equation of ellipse

Q: Write the standard form equation of the ellipse. Major axis vertical with length 16. Minor axis…

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Q: Write the standard form equation for each ellipse described. Major axis endpoints are (3,-7) and…

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Q: Find an equation of the ellipse that has center (4, -4), a major axis of length 8, and endpoint of…

A: Given that: Centre of ellipse =(4, -4)Major axis, 2a=8End point of minor axis = (7, -4)

Q: Which of the following is the equation of a vertical ellipse with center (4,6) Major axis s = 18 and…

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Q: An arch in the form of semi – ellipse is 50 feet wide at the base and has a height of 16 feet. How…

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Q: Find an equation of the ellipse that has center (4, -4), a major axis of length 8, and endpoint of…

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Q: Find an equation of the ellipse having a major axis of length 10 and foci at (-2, 6) and (-2, 0).

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Q: I graphed an ellipse with a horizontal major axis and foci on the y-axis.Determine whether the…

A: Given: I graphed an ellipse with a horizontal major axis and foci on the y-axis. Determine whether…

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

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Q: I graphed an ellipse that was symmetric about its major axis but not symmetric about its minor…

A: Given: I graphed an ellipse that was symmetric about its major axis but not symmetric about its…

Q: If the foci of an ellipse are (-4,3) and (8,3), then what are the coordinates of the center of the…

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Q: Find the equation in standard form of the ellipse below: -8- -7- - (2,5) (4,5) 4- 3- 2- (4, 2) 4 5 6…

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Q: Determine whether statement, "I graphed an ellipse with the horizontal major  axis and foci on the…

A: Determine whether statement, "I graphed an ellipse with the horizontal major  axis and foci on the…

Q: .What is the equation, in standard form, if the focal width of parabola is 14 units and its vertex…

A: NOTE: Refresh your page if you can't see any equations. . the standard form of the up-down parabola…

Q: Write the equation of the ellipse that has foci (0, 3) and (0, -3) and vertices (0, 5) and (0, –5).

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Q: How does the shape of the ellipse change as varies?

A: Explanation: The ellipse stretches vertically when the value of b increases.

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.