or the shown ellipse is

Q: Give the equation for the ellipse graphed

A: Center= (h,k)=(0,0) Length of the major axis=2a= 10 - (-10)=20  So, a=10 Length of the minor…

Q: Use the tenation provided to write the stondar form equation of each ellipse.

A:

Q: The vertices of the ellipse given by + =1 are 4

A: Given,           The equation of an ellipse is x24+y21=1To find: Vertices of the ellipse

Q: Graph the ellipse and locate the foci.

A:

Q: 5. -5 -5

A:

Q: Find the area of the general equation of the ellipse .

A:

Q: If the foci of an ellipse are located at (-8, 6) and(10, 12), then the coordinates of the center of…

A: We have foci of an ellipse  (-8, 6) and (10, 12)   The center is located at (h, k) We know that…

Q: What is the standard form of equation of an ellipse?

A: Statndard form of equation of an ellipse written below In both case horizetal major axis and…

Q: Find an equation in standard form for the ellipse graphed below.

A: the standard equation of the ellipse is given by as we can see here center of the ellipse is

Q: 2. Explain how to identify the major and minor axes of an ellipse are by looking at both the graph…

A:

Q: State whether the given equation defines an ellipsoid or hyperboloid, and if a hyperboloid, whether…

A: Given, To determine whether the given equation defines an ellipsoid or hyperboloid, and if a…

Q: What is the equation of this ellipse?

A: equation of ellipse with centre as origin and a and b are semi major and minor axis. here a = 1 b =…

Q: What are the general equations of an ellipse?

A: To write the general equation of an ellipse.

Q: As viewed from above, a swimming pool has the shape of the ellipse given by

A:

Q: State the formula for Ellipse in Standard Position.

A: The formula for Ellipse in Standard Position.

Q: What is the equation of the given ellipse? YA

A: Vertex ( -3 , 2 ) covertex ( -1 , -1.5 )   Center= ( h , k )= ( -3 , - 1.5 )   Major axis b = 2 - (…

Q: Use the information provided to write the standard form equation of each ellipse.

A:

Q: what are the turning point? what is the number of turning points in an ellipse?

A:

Q: Give the equation in standard form of the ellipse centered at the origin with a focus at (0, 2), and…

A:

Q: Find an equation of the ellipse t

A: Answer as follow

Q: If the major axis of an ellipse is 26 units in length and the minor axis is 10 units in length,…

A: Major axis of ellipse is a = 26 and minor axis is, b=10Therefore, the eccentricity of ellipse is…

Q: 2. Which graph represents the ellipse represented by the equation = 1?

A:

Q: Explain with the help of an example Parametrization of an Ellipse.

A: We have write the parametrization of an ellipse.

Q: The foci of the ellipse with given equation 25 1 are 36 II +

A:

Q: 23. Find the foci of the ellipse. 3D1 169 144

A: Given equation is x2169 + y2144 = 1 ; x2a2 + y2b2 = 1  so, a2 = 169 and b2 = 144 c is the distance…

Q: The equation for the ellipse graphed above is

A: From the given figure ellipse is centered at origin semi major axis a = 7 semi minor axis b = 3

Q: Find an equation of the ellipse having the given properties and plot the ellipse.

A: Since you have submitted two questions, we'll answer the first question. For the second question…

Q: 17. Write an equation for the ellipse. 12

A:

Q: 11. Explain how to identify the major and minor axes of an ellipse are by looking at both the graph…

A:

Q: an ellipse from t

A: In the graph we have graphed an ellipse  x252+y232=1

Q: Give the equation in standard form of the ellipse centered at the origin with a focus at (0, 4), and…

A:

Q: Find the equation of the ellipse shown.

A:

Q: The distance between the center and a focus of the ellipse 25

A:

Q: Use the definition of the ellipse to obtain the Cartesian equation.

A:

Q: 1. What are the foci of this ellipse? -5

A:

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: Graph the ellipse and locate the foci.

A: Given, x236+y225=1

Q: 15. 2 2 4 6. -2-

A:

Q: What features are unique to an ellipse?

A:

Q: the equation of the diameter of the ellipse.

A:

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

A: Here we have to find the equation of an ellipse.

Q: Find the standard form of the equation of the ellipse with the given characteristics.

A:

Q: the equation of an ellipse whose foci a

A:

Q: Why should we transform a given equation of an ellipse into its standard form

A: Given, Why should we transform a given equation of an ellipse into its standard form ?

Q: Draw the ellipse 5(? − 1) 2 + 4(? − 1) 2 = 25, labeling all important information.

A: Consider the ellipse  5x−12+4y−12=25

Q: Compare and contrast the general equations of circles and ellipses.

A: The general equation of circle is given by- x-h2+y-k2=r2 where h,k is the center of circle, while r…

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.