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

Q: What is the length of the major axis of ellipse given by the equation X^2/81+ Y^2\144=1 ?

A: Given equation of ellipse is: x281+y2144=1

Q: In an ellipse, the foci are at (-4, 3) and (4, 3) and one vertex is at (6, 3). How long is the major…

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Q: What is the length of the major axis of the ellipse defined by the equation: x2 + 5(y – 2)2 = 5?

A: The given equation is x2+5y-22=5 To find the length of the major axis of the ellipse.

Q: Determine the general form of equation of an ellipse whose standalu (x-2)2 (y+3)2 + = 1. 9 4 1.…

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Q: An ellipse is given by the equation 8x2 + 2y2 = 32. Find, a. center b. major radius = %3D C. minor…

A: 8x2+2y2=32⇒8x2+2y232=1⇒8x232+2y232=1⇒x24+y216=1⇒x-0222+y-0242=1 Now comparing with x-h2b2+y-k2a2=1,…

Q: A racetrack is in the shape of an ellipse, 100 feet long and 70 feet wide. What is the width 10 feet…

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Q: Which are the foci of the ellipse represented by 25x² + 16y² = 400?

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Q: What’s the difference between the equations for locating an ellipse’s foci and locating a…

A: It is known that for ellipse the equation of the foci is c2=a2-b2,where c is the foci,a is the…

Q: What is the general form of an ellipse with foci at (0, ±2), and vertices at (0, ±4)7

A: Given query is to find the equation of the ellipse.

Q: Find an equation of the ellipse having a major axis of length 6 and foci at (0, 7) and (0, 3). D=0

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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: Consider the ellipse defined by the equation x^2/81+y^2/9=1. What is the maximum area of a rectangle…

A: Given that the ellipse defined by the equation x^2/81+y^2/9=1. What is the maximum area of 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: What is the equation of the standard ellipse with vertices at (±a, 0) and foci at (±c, 0)?

A: To find the equation of the standard ellipse with vertices ±a,0foci ±c,0

Q: Find an equation of the ellipse having a major axis of length 6 and foci at (−5, −1) and (−5, −5).

A: Here the y coordinate of the focus is Changing so we can say that major axis of the ellipse is…

Q: What is the height of the tallest rectangle with a width of 6 units that can fit inside an ellipse…

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Q: What is the standard equation of an ellipse with foci (-7,6), (-1,6) and sum of distances at every…

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Q: Find an equation for the ellipse that satisfies the given conditions. Endpoints of major axis: (410,…

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

A: Given- Major axis horizental with length 8, length of minor axis 4 and center is (0,0). To find- The…

Q: An ellipse has equation 25x²+16v² = 400: Determine the coordinates of its foci.

A: Equation of an ellipse is 25x2+16y2=400determine the coordinates of foci

Q: Determine the equation of the ellipse using the information given. endpoints of minor axis at (0,…

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Q: The length of the latus rectum for the ellipse x^2/64 + y^2/16 = 1 is equal to

A: Explanation of the answer is as follows

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: What are the foci of the ellipse given by the equation x2+y2−4x+9x=23?

A: Given the equation is…

Q: What are the lengths of the major and minor axes of this ellipse x^2/6+y^2/12=1?

A: Given: The equation of ellipse is x26+y212=1. To find: The lengths of the Major axis and Minor axis.…

Q: Write the equation of the ellipse that contains the point (square root of 5, 2) has a major axis of…

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Q: a building facade is in the shape of a semi ellipse, with the major axis as the span. if the span is…

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Q: Divide both sides of 4x2 - 9y2 = 36 by 36 and simplify. How does the simplified equation differ from…

A: Given: 4x2 - 9y2 = 36

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: 2. The x- coordinates of the foci of a vertical ellipse are equal.

A: ## we want to find that the given statment is true of false, the given statement is the x coordinate…

Q: The length of the latus rectum of the ellipse defined by 25x? + 9y? - 300x - 144 y + 1251 -0 3.0 3.2…

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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: Find an equation of the ellipse that has center (-5, -4), a minor axis of length 6, and a vertex at…

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Q: Find the standard form of the equation the ellipse whose major axis is vertical with length 10, with…

A: Since the major axis is vertical so the standard form will be:

Q: Find an equation of the ellipse having a major axis of length 10 and foci at (-2, 3) and (-6, 3).…

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Q: Find an equation of the ellipse that has center (0, -4), a minor axis of length 4, and a vertex at…

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Q: 1) WHAT IS THE DIFFERENCE BETWEEN THE EQUATIONS FOR PARABÓLAS, ELLIPSES, CIRCLES AND HYPERBOLAS?

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Q: the sum of the distancas of any point on the ellipse (x+4)2 169 I from the foci is 144

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Q: In an ellipse, what are the two equal lengths that allow you to figure out the location of the foci?

A: In an ellipse, the foci can be find out with the lengths of the major and minor axes to find focu…

Q: Find the standard form of the equation of the ellipse and give the location of its foci.

A: Given,

Q: Find an equation of the ellipse having a major axis of length 12 and foci at (6, –3) and (-4, –3).…

A: Explanation and solutions is given below....

Q: Find an equation for the ellipse with foci (±7,0), and major axis of length 18.

A: topic - equation of ellipse

Q: What are the coordinates of the foci of the ellipse given by the equation 4x^2+y^2=64.

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Q: What is the standard equation of an ellipse if the length of its major axis is 6 inches parallel to…

A: Given:- Length of its major axis is 6 inches parallel to x-axis and minor axis is 4 inches and its…

Q: .What is the equation, in standard form, if the focal width of parabola is 14 units and its vertex…

A: NOTE: Refresh your page if you can't see any equations. . the standard form of the up-down parabola…

Q: What are the foci of the ellipse given by the equation x^2+y^2−4x+9x=23

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Q: Find an equation of the ellipse having a major axis of length 8 and foci at (5, -3) and (-1, -3).…

A: Finding the equation of ellipse

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

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Q: Write an equation for the given ellipse that satisfies the following condition Center at (1,4);…

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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.