O 4. Write an equation in standard form for the ellipse given by the equation 9x? + y? – 36 = 0. O +* = 1 36 *+ =1 0學+嘉= 1 36 O +* =1

Q: What numbers would replace the question marks for this ellipse x2 = 1 ?2 (0.3) 2 (-2,0) -1 -1 (2,0)…

A: Equation of ellipse

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A:

Q: what is the length of the minor axis of the ellipse given by the equation x^2/169 + y^2/64 = 1 1.…

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Q: ind an equation of the ellipse having a major axis of length 8 and foci at (2, 5) and (-2, 5). O=0

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A: The equation of the ellipse is given by x2169+y264 = 1…

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A: we have to find the length of the minor axis of the given ellipse

Q: 1. What is the equation of this ellipse? -5 --5 10 O (2+2)? (y+4)° 1 81 O 부+ (y 4) 1 -2)2 81 O + = 1…

A: Use the property of ellipse center and major and minor axis.

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

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A: We can find the equation of ellipse using the given data as below.

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Q: The ellipse with the given equation is centered at x² +9y² + 3x - 18y + 9 = 0 3 9 (²/₁₁) (²17,¹1) 2…

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Q: Determine if 9x + 25y² = 225 is an ellipse. %3D O Not an Ellipse Ellipse, we can write the equation…

A: Given  equation,        9x2+25y2=225

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A: General equation of ellipse having vertical major axis is given by÷   x-h2b2+y-k2a2=1 Where,…

Q: х? + 2х + 9y? — 18у + 11 3D 0 Is the equation of: Select one: О а. Нурerbola O b. Ellipse O c.…

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

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Q: Which conic section is represented by the equation 9a? + 4y? = 36. O Parabola O Ellipse O Circle O…

A: Standard form of an ellipse is defined by : x-h2b2+y-k2a2=1.

Q: Determine if 9æ? + 25y² = 225 is an ellipse. O Ellipse O Not an Ellipse (x – h)² (y – k)² If it is…

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A: Foci = (0,0) and (0,6) So, center of it: Major axis = 12 So, 2a=12 a=6  This ellipse is vertical…

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Q: ned by the equation x2+5(y-2)2=5. a. What is the length of the major axis?

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Q: 3) Find the equation for the ellipse that has vertex at (9, -1) and foci (0, -1) and (8, -1).

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Q: The equation of the major axis of the shown ellipse is Select one: O a.x 0 Ob.x=-2 Ocy 0 O d.y= 1

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Q: 4. (a) Derive the equation of the ellipse z+=1 b² =1. a

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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.