An ellipse has which of the following?   I. Exactly 2 foci II. Exactly 1 focus III. A major axis IV. A minor axis V. 2 Vertices VI. A directrix       Group of answer choices I, III, & V only II & VI only I, III, IV, & V I, IV, & V only II, III, & VI

Q: 47-50. Graph the equations given the following, in one Cartesian plane. Name your graphs. a. y 3x-8…

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Q: . For the ellipse 1, the vertices are the points 25 and +

A: we have to fill in the blanks: for the ellipse x24+y225=1, the vertices are the points _______ and…

Q: Match the epicycloid or hypocycloid with its graph.

A: The definition of Hypocycloid: Hypocycloid is the curve generated by a point “P “   On the…

Q: Given 4 points on a vertical ellipse (-1.366, 0), (0, 2.241), (1, -12), and (4, 2.43).  Select the…

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Q: Show that the points (2,0), (5,-1), (11,4) and (8,5)are are the vertices of a parallelogram.

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Q: Determine another point on each parabola. The axis of symmetry is x = 3. A point on the parabola is…

A: The axis of symmetry of a parabola is a line about which the parabola is symmetrical.

Q: The vertices of triangle ABC at points A (4; 1), B (1; 0) and the bisector of vertex B are given by…

A: Given, The vertices of triangle A4, 1 and B1, 0  Equation of the angle bisector of vertex B is…

Q: i. S= {r : x € N and |r| < 5} ii. S= {r €R: 2x € R} where R = {2,3,5, 8, 13}. iii. S= {r :r € P and…

A: To write given sets into listing method.

Q: Q1. Video: Graph of an ellipse (https://youtu.be/pAbJUwbTrZ8?t=1074) x² y2 Graph the ellipse with…

A: Given: To graph the ellipse x216+y249=1 and identify the vertices.

Q: 10.Write anequation of an ellipse with vertices (-7, -3), (-1, -3) and eccentricity of 0.745?

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Q: Write the set using roster notation. Do not include repeats. Use the ellipsis button, if necessary.…

A: Given problem:- Y is the set of natural numbers between 50 and 600.

Q: In Exercises 11-18, find the standard form of the equation of the ellipse with the given…

A: Since you are asking multiple questions. As per our guidelines, we are supposed to answer only one…

Q: 9x? + 4y2. - 18х + 16у — 113D0

A: For the detailed solution of the problem follow the next steps.

Q: Parabola.  The vertex is ( 4 , 7 ) and the equation for the directrix is y = 12.

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Q: 25 1 21

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Q: 6.) Find an equation of the parabola in standard from given the following information: a.) Focus:…

A: Solve for parabola equation

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.