what is the length of the minor axis of the ellipse given by the equation x^2/169 + y^2/64 = 1 1. 64 units  2. 16 units 3. 8 units 4. 13 units

Q: A one-way road passes under an overpass in the shape of half an ellipse, 25 ft high at the center…

A:

Q: find the equation of hyperbola with center (4,-1), transverse axis parallel to the y axis distance…

A: Given: A hyperbola with center 4, -1 , whose transverse axis is parallel to the y-axis. The…

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

A:

Q: Find the points on the ellipse 4x + y² = 4 that are farthest away from the point (1, 0). (х, у) %3D…

A:

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

A: Given, 16x2 + 4y2 = 16

Q: Choose the type of the conic section. O hyperbola O parabola

A:

Q: An ellipse has semi-major axis of 4 and its semi-minor axis is 3. The distance from the center of…

A:

Q: Find an equation for the sphere centered at (1,-5, 4) with radius 4.

A:

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 the points on the ellipse 3x + y = 3 that are farthest away from the point (1, 0). %3D smaller…

A:

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

A: Given 4x^2 + y^2 = 4 y^2 = 4 – 4x^2 y = +- (4 – 4x^2)^1/2 Let distance between (x,y) and point…

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

A: It is given that an ellipse whose major axis is horizontal with length 8, length of minor axis is…

Q: 2. The arch of a bridge is in the shape of a semi ellipse having a horizontal span of 40 meters and…

A: To find the height at the required value then you should have the equation of the ellipse.

Q: What are the lengths of the major and minor axes of this ellipse 6 =D1? O Major Axis: 6 units, Minor…

A:

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

A:

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 equahon of the ellipse with the given characteristics verhical major…

A: let equation of ellipse isx2a2+y2b2=1

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

A:

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

A:

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

A:

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…

A:

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…

A:

Q: Find the points on the ellipse 3x2 + y2 = 3 that are farthest away from the point (1, 0). What I…

A:

Q: Find the points on the ellipse 4x2 + y2 = 4 that are farthest away from the point (1, 0). %3D (х, у)…

A:

Q: What is the length of the conjugate axis of the hyperbola (x^(2))/(16)-(y^(2))/(4)=1?

A: General form of hyperbola   x2a2-y2b2=1  Therefore the length of the Conjugate axis =2b…

Q: The length of the major axis of the cllipse with center (-4, 1), minor axis parallel to the y-axis…

A: Equation of ellipse with center (-4,1) is given by

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

A:

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 of the ellipse that has center (4, -4), a major axis of length 8, and endpoint of…

A:

Q: A large racetrack can be modeled by the ellipse x² + y2 1, where x and y are 4 measured in…

A: Ellipse is a plane curve surrounding two focal points, such that for all points on the curve, the…

Q: A 24 meter long tension wire is tied firmly between two vertical poles with identical height of 5…

A: To Find:a) Write an equation of the parabola.b)How far is the center of the beam to the wire's 1 cm…

Q: Find the points on the ellipse 4x2 + y2 = 4 that are farthest away from the point (1, 0). (х, у) %3…

A: The distance between of two-points: - The length of the line segment connecting two places is the…

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

A:

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

A:

Q: Write the equation of the ellipse that has a center at (2, – 4), a vertex at (7, – 4), and a…

A:

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

A:

Q: Find the points on the ellipse 3x² + y“ = 3 that are farthest away from the point (1, 0).

A: For the Given Ellipse 3X2+y2=3 ,Points that are  Farthest away from the point (1,0) is calculated as…

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

A:

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

A:

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: The length of the latus rectum of the ellipse defined by 25x2 +9y2 - 300x – 144 y + 1251 = 0 is 3.0…

A:

Q: what is the equation of a horizontal ellipse centered at the point (9,4) whose major axis is 22…

A:

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.