18. An ellipse has the equation (x + 6)² (y – 5)2 + 1 16 64 (a) Is the major axis horizontal or vertical? (b) Find the exact values of the foci of the ellipse. Show work.

Q: 3. Find the coordinates of the foci of the ellipse given by the equation 4x² + y? = 64. O (0, 4v3)…

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Q: What is the length of the minor axis of the ellipse 4x² + 32x + y² – 4y + 52 = 0? 0 4/3 0 4 0 8 O 45

A: Topic = Ellipse

Q: What is the eccentricity of an ellipse 9x2+y2+18x-12y-180=0

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Q: 13.) Find an equation for the ellipse that satisfies: 1 ессentricity and foci(0,±2) 3

A: Given: The eccentricity =13 and foci 0,±2 of an ellipse To find: The equation of the ellipse.

Q: O Does the origin lie inside or outside the ellipse with equation (x – 4) 2 + 4(y - 3) 2 = 4?

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Q: 27. Find the points on the ellipse 4x? + y? away from the point (1, 0).enigsmuo 4 that are farthest…

A: Given: The equation of ellipse is given as, 4x2+y2=4. The objective is to find the point x,y on the…

Q: 11. A rectangle of maximum perimeter is to be inscibed in the ellipse x^2/24^2 + y^2/13^2 = 1. The…

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Q: The general second degree equation has the form Ax2 + Bxy + Cy2 + Dx + Ey + F = 0. If  B2 – 4AC = 0…

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Q: Consider the point P (-1,0)on the ellipse 4x2 + y? What is the value of a? Answer to 3 significant…

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Q: Parameterize an ellipse which begins at (-3, 3) at t=0 and then passes through (-6, 1), (-3, -1),…

A: First we have to find equation of ellipse in rectangular coordinate.

Q: 16. Find the equation of the ellipse which satisfies the following conditions: the foci F,(-3; 0) ,…

A: The given conditions of ellipse are and semi-major axis equals 5. As the equation of ellipse is…

Q: 9. Find the standard form of the equation of the parabola with a focus at (-3, 4) and directrix y =…

A: the vertex of the parabola will be at the midpoint of (-3,4) and y=2  That is Vertex= (h,k)=(-3,3)…

Q: 3) A large racetrack can be modeled by the ellipse x2 + = 1, where x and y are measured in…

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

Q: 2. Find the general ellipse equation when its vertices (+5,0), foci (±4,0).

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Q: 4. Consider the ellipse which has its center at (-1, 5), a vertex at (-1, 0), and a covertex at (-5,…

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Q: 4) Consider the ellipse x? – xy + y? = 3. From all points (x, y) of this ellipse, find: 1. the ones…

A: 1. Note that the smallest and largest value of y occur when dy/dx =0. Taking derivative on both…

Q: What are the vertices of the ellipse whose equation is (x2)/9 + (y2)/4 = 1?

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Q: 1. Write the standard equation for the ellipse whose minor axis is the line segment from (0, -2) to…

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Q: The ratio of the major axis to the minor axis of the ellipse 9x2 + 4y2 – 24 y – 72x – 144 = 0 is O…

A: topic- ellipse

Q: Q1 Write down equation of the hyperbola whose focuses are at Fi(-1, –1) and F2(1,1) having the major…

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Q: The ratio of the major axis to the minor axis of the ellipse 9x2 + 4y2 – 24 y – 72x – 144 = 0 is %3D…

A: Solution is here

Q: 14. Evaluate [4x dæ + 5y“ dy if C is the portion of the ellipse 3x2 + 7y? = 21 in the first…

A: Explanation of the solution is given below....

Q: Consider the following. У 2 1- -3 -1 3 4 -1 -2 Find an equation of the ellipse. Find its foci. (х,…

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Q: Consider the parabola P with equation x^2 = 20 (y - k) and whose directrix has equation y = −7. The…

A: This question is related to conic section , we will use the give conditions to find the equation of…

Q: The eccentricity of the ellipse x2/4+y2/16=1 is:

A: Given equation of ellipse: x24+y216=1

Q: What are the foci of the ellipse given by (x-3 )^2/25 + ( y−1)^2/9 = 1 ?

A: By using standard form and ellipse, we calculate the foci of an ellipse.

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

A: The foci of the Ellipse are F1(2, 3) & F2(2, -1), which lies on the line x=2. So the major axis…

Q: Find the equation for the ellipse with foci at (-1,3) and (5,3) and whose minor axis has a length of…

A: Given:- The ellipse with foci at (-1,3) and (5,3) and whose minor axis has a length of 4 units. To…

Q: A landscape architect is designing an elliptical pool that will fit in the center of a 20-by-30-…

A:

Q: IV. Write the equation of the ellipse. 1) vertices at (-10, 4) and (2, 4); minor axis with length 10…

A: For an ellipse: It is known that: e=ca and b2=a2-c2. If the major axis is parallel to the x axis,…

Q: The ellipse 6x² + 2x + y? = 1 has its center at the point (b, c) where b = c = The length of the…

A: The standard form of an ellipse is with (h,k) as the centre.

Q: 28. An ellipse has the equation (x+6)2 /4 + (y− 4)2/36=1(a) Is the major axis horizontal or…

A: Given:

Q: A rectangle of maximum perimeter is to be inscribed in the ellipse x^2/20^2 +y^2/11^2=1. The…

A: Explained below

Q: 4. Find the equation of the ellipse with vertices at (2, -1) and (2, 7) and with a minor axis of…

A: We have to find equation of ellipse with given vertices and minor axis.

Q: Find the equation of the ellipse with foci at F;(0,1), F2(0,8), and has major axis of length 12.…

A:

Q: A chord is drawn perpendicular to the x-axis on the ellipse 9x2+16y2=144 with the ends of the…

A:

Q: A rectangle is inscribed in an ellipse so that two of its sides pass through the foci. If the x2…

A: The distance between foci of an ellipse x2a2+y2b2=1 is 2ae Where, e=1-b2a2 (a>b)

Q: 9x2 - 18x + 4y +8y = 23 defines an ellipse with center ( 1 -1 ). The major axis has length and the…

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Q: One of St. Matthew's Hall is 10 feet wide and has a semi- ellipse ceiling. The ceiling is 6 feet…

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Q: 5. What is the standard-form equation of the ellipse shown? -2- x2 1 25 %3D 16 1 %3D x2 25 1 16 O x2…

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Q: 5. What is the general form of an ellipse with foci at (0, +2), and vertices at (0, ±4)? 2x + 4y = 0…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: 2 %3D what is the eccentricity of the ellipse (x+5)* + l6 y? = 16 ?

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Q: What is the equation of the parabola with vertex at (0, 0) and directrix y = 3 in standard form.…

A: Given vertex 0,0 and directrix y=3. We have to find equation of parabola.

Q: 18. Write the equation of the ellipse with a minor axis length of 8 units and foci at (-7, 4) and…

A: Need to find equation of ellipse from.given points

Q: 2. What is the standard form equation of the ellipse with vertices at (0, 6) and (0, -6) and co-…

A:

Q: The tunnel is semi-ellipse im shape that is 12 feet high at the center and 28 feet across.Will a…

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Q: A railroad tunnel is shaped like a semi-ellipse. The height of the tunnel at the center is 18 ft and…

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Q: IV. Write the equation of the ellipse. 1) vertices at (-10, 4) and (2, 4); minor axis with length 10…

A: According to the company rule we can answer only first question and rest can be reposted.

Q: 3. The ellipse defined by the equation 2x² + y² + 4x – 9y = 7. Major axis parallel to: Graph: 10…

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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.