An ellipse has semi-major axis of 4 and its semi-minor axis is 3. The distance from the center of the ellipse to the directrix is *

Q: 4. Determine the equation of an ellipse having foci (0,+V5) and vertices (0, +4).

A: topic - equation of ellipse

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 equation of an ellipse centered at the origin whose major axis is horizontal and…

A: Origin is centre (h,k) = (0,0) Major axis is horizontal axis. length of major axis = a = 10 length…

Q: Find an equation of the ellipse with minor axis of length 8 and vertices at (-9, 3) and (7, 3).

A: The solution is given in the next step.

Q: Find an equation for the ellipse that satisfies the given conditions. Length of major axis: 10,…

A: NOTE: Refresh your page if you can't see any equations. . here foci n y-axis, which means the…

Q: Find the standard form of the equation of the ellipse with the given characteristics. Vertices: (3,…

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Q: Find an equation in standard form for the ellipse with center at (5, 4), horizontal axis of length 8…

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Q: Find the standard form of the equation of the ellipse satisfying the given conditions. Endpoints of…

A: First find the major axis minor axis length and central of ellipse than write in standard form of…

Q: Find the standard equation of the ellipse with center (5, 3), horizontal major axis of length 20,…

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Q: 3- Sketch the ellipse given that vertices at (8, 0), (-8, 0) and minor axis = 6.

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Q: Find an equation of the ellipse with minor axis length 6, and vertices (3, 1) and (3,9).

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Q: An ellipse with center at the origin has a length of major axis 20 units. If the distance from the…

A: An ellipse with center at the origin has a length of major axis 20 units. If the distance from the…

Q: Find an equation of an ellipse with center at (0,0), vertices (±6,0) and eccentricity 3/5:

A: Given : Center of an ellipse (0, 0). Vertices of an ellipse are (6, 0) and (-6, 0) Eccentricity =…

Q: An ellipse has a semi-major axis of 5cm and an eccentricty of 0.4. What is the maximum length of the…

A: Maximum length of ellipse = length of major axis = 2×(length of semi major axis)

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 standard form of the equation of the ellipse with the given characteristics and center at…

A: topic - equation of ellipse

Q: Find the standard form of the equation of the ellipse satisfying the given conditions, Major axis…

A: Given  Major axis horizontal with length 12 length of minor axis = 4 center: (-3, 5). General…

Q: Find the points on the ellipse 4x2 + y2 = 4 that are farthest away from the point (1, 0).

A: Let (x,y) is the farthest point on the ellipse from (1,0) Distance between (x,y) and (1,0) is:…

Q: Find an equation for the ellipse with center (2, 0), foci (2, ±3) and major axis of length 8.

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Q: Find the standard form of the equation of the ellipse with the given characteristics. Center: (3,…

A: Given:- Center: (3,-4); vertex(3, -5/2) minor axis of length 2 To find:- standard equation of…

Q: The length of the major axis of an ellipse with foci at (-1, 2) and (3, 2) that passes through the…

A: Here we use basic defnition of major axis

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: Find the standard form of the equation of the ellipse with the give characteristics. Center: (2,6);…

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Q: Find the standard form of the equation of the ellipse with the given characteristics. Vertices:…

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Q: find the standard form of the equahon of the ellipse with the given characteristics verhical major…

A: let equation of ellipse isx2a2+y2b2=1

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: What is the equation of an ellipse having vertices at and a minor axis (0,+8,) which is 6 units in…

A: the standard equation of the vertical ellipse is given by x-h2a2+y-k2b2=1

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: Find an equation for an ellipse with foci (+12,0) and vertices at (±13,0).

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Q: Find the ellipse equation with foci (0, 2) and (0, 6) and major axis vertices (0, 0) and (0, 8).

A: We can find the ellipse equation as below.

Q: Find an equation for the ellipse that satisfies the given conditions. Length of major axis: 10, foci…

A: Given that the length of major axis is 10, that is 2a=10              ⇒             a=5 Also given…

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

A: Since foci is on y axis therefore it is a vertical ellipse.

Q: Find the standard form of the équation of the ellipse satisfying the given conditions. Endpoints of…

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Q: 4. The line segment with endpoints at the vertices of an ellipse is called the axis.

A: A conic section is obtained by the intersection of a plane with the surface of a cone. The three…

Q: Find the standard form of the equation of the ellipse satisfying the given conditions. Endpoints of…

A: Here first we will find center point of ellipse then we will find values of a2 and b2 , then we will…

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: If the center of an ellipse is (3, -2),the major axis is horizontal and parallel to the x-axis and…

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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: Find the points on the ellipse 4x2 + y2  = 4 that are farthestaway from the point  (1,0 ).

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Q: The distance between foci of an ellipse is 6 and its major axis is 10. Find its eccentricity.

A: distance between foci = 2a/e = 6 major axis = 2a = 10so now put 2a value in above equation 10/e = 6…

Q: Construct an ellipse having length of major axes and minor axes equal to 12 cm and 9 cm…

A: Given: major axes=2a=12  cmminor axes=2b=9  cm

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: Find the standard form of the equation of the ellipse with the given characteristics. Center: (6,…

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Q: Find an equation in standard form for the ellipse with center at (7, 4), horizontal major axis of…

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Q: Find the points on the ellipse 4x2 + y2 = 4 that are farthest away from the point (−1, 0).

A:

Q: Find the area and perimeter of an ellipse with major axis = 6 and minor axis = 4.

A: Topic = Ellipse

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

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Q: An ellipse is centered at the origin and its major axis is on the x-axis. What is the equation of…

A: Explanation of the answer is as follows

Q: The distance between foci of an ellipse is 6 and its major axis is 10. Find its eccentricity

A: we know that equation of ellipse in standard form x2a2+y2b2=1 where a is major axis and b is minor…