What is the length of the major axis of ellipse given by the equation X^2/81+ Y^2\144=1 ?

Q: What is the standard form equation of the ellipse that has vertices (3,−19) and (3,7) and foci…

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Q: Find the standard form of the equation of an ellipse with vertical major axis with length 16 and…

A: The solution follows as:

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: What is the example formula equation for 3d satellite (elliptic paraboloid)

A: To find: Formula equation for 3D satellite(elliptic paraboloid).

Q: What is the equation that represents an ellipse with foci at (3, 2) and (-9, 2) that passes through…

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Q: A bridge is to be built in the shape of a semi-elliptical arch and is to have a span of 208 feet.…

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Q: Find the equation of ellipse in stand form with center at the origin Endpoints of minor axis (+10,…

A: Here we have to find the equation of the ellipse in the standard form with center at the origin.…

Q: What is the standard equation of an ellipse with major axis of length 22, foci 9 units above and…

A: Since the major axis is of length 22   2a=22⇒a=11 The foci are 9 units above and bellow the center.…

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: What 3 dimensional shape will be created by spinning this rectangle on the indicated axis (the…

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Q: Write the equation of the circle centered at (4, 2) with radius 18. --

A: Given, center(4,-2) radius =18 what is equation of circle

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: 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: Find the point on the ellipse 4x2ty3=4 that are farthest away from the point (1,0) 4x27y2-4

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Q: If the point (6, -1) is reflected over line y = 2 then dilated by 2, what would the new points be?

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Q: Find the standard form of the equation the ellipse whose major axis is vertical with length 10, with…

A: standard form of ellipse is(x-h)2b2+(y-k)2a2=1where(h,k)≡(-2,3)b=4 and a=10therefore equation of…

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: Discuss the graph of the ellipse with foci at (2, 3) and (2, −1) and an endpoint of the minor axis…

A: The mid-point of the foci is equal to the center of the ellipse, so O(h,k)=2+22,3+(-1)2=2,1 If the…

Q: how to determine the maximum and minimum distance of an ellipse given the major axis=477,736 and…

A: Length of the major axis is 477,736 Length of the minor axis is 477,078 We need to calculate the…

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

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Q: The standard equation of the ellipse is x233+y249=1 because it says incorrect on my end. Can you…

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Q: Write the equation of the sphere centered at (5, – 2, 4) with radius 3.

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Q: What is the maximum area of a rectangle inscribed in the ellipse 25 + y? = 1?

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Q: What is the equation of the sphere whose center is at (0, -3, 8) and with a radius of 5? Select the

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Q: A stationary artist intends to make rectangular cut-outs from the elliptical cardboard that he has.…

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Q: (Ellipse) Center at the origin, its foci is on the x-axis, the length of the major axis equal to 3…

A: From the standard form of the equation of the horizontal ellipse (x-h)2a2+(y-h)2b2=1,  Here, a >…

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

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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: What is the standard form equation of an ellipse with the center (-1, 6), a horizontal major axis…

A: Center (h,k) = (-1,6) a = 22 b = 8

Q: The length of the latus rectum of the ellipse defined by 25x? + 9y? - 300x - 144 y + 1251 -0 3.0 3.2…

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Q: What is the standard form equation of the ellipse that has vertices (−6,−13) and (−6,7) and foci…

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Q: A certain bridge arch is in the shape of half an ellipse 116 feet wide and 34.8 feet high. At what…

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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 the ratio of the length of minor axis to the length of the major axis of the ellipse 9x2 + 16y2…

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Q: Find an equation for the ellipse that satisfies the given conditions. Length of major axis: 8,…

A: Given, Length of major axis = 8 Length of minor axis = 4 Center = (0, 0) Foci = y - axis

Q: A one-way road passes under an overpass in the shape of half an ellipse, 15 ft high at the center…

A: NOTE: Refresh your page if you can't see any equations. .

Q: Find an eguation of the sphere that passes through the point (5,-2,-1) whose whose Center is the…

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Q: What is the equation of a vertical ellipse with a center at point (8,-4), a major axis that is 12…

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Q: Find an equation of the ellipse that has center (-5, 3), a major axis of length 10, and endpoint of…

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Q: A bridge is to be built in the shape of a semi-elliptical arch and is to have a span of 136 meters.…

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Q: what is the length of the minor axis of the ellipse 5(x+2)2+(y-0.1)2=125?

A: Given5x+22+y−0.12=125

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

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Q: Find the points on the ellipse 5x2 + y² = 5 that are farthest away from the point (1, 0). smaller…

A: To find the points on the ellipse 5x2+y2=5, that are farthest away from the point 1, 0.

Q: Find the dimensions of the rectangle with maximum perimeter that can be inscribed with sides…

A: Assume the length of rectangle be 2x and width of the rectangle be 2y. Therefore, the perimeter is…

Q: Find the standard form of the equation of an ellipse with the given characteristics. Major axis…

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Q: Find the standard form of the equation of an ellipse with the given characteristics. Major axis…

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Q: One successful method to treat kidney stones is by emerging the patient in an elliptical tank and…

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Q: Write an equation for a sphere centered at the point (2,4,-5) with radius 5.

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Q: What is the equation of a horizontal ellipse with a center at point (-2,4), a major axis that is 8…

A: Given : Center (-2,4), Length of major axis = 8 units Length of minor axis = 4 units   To find :…

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.