A communications satellite is to be put into an elliptical orbit around the earth so that the earth is at one focus. The maximum and minimum distances of the satellite from the earth occur at the vertices of the ellipse. The maximum distance is 20 miles and the minimum distance is 15 miles. Determine an equation of the elliptical orbit of the satellite if the center of the orbit is at the origin of the coordinate plane.

Q: Find the standard form of the equation of the ellipse satisfying the following conditions. Major…

A:

Q: Find an equation of the ellipse that has center (0, 5), a major axis of length 4, and endpoint of…

A:

Q: Find equations of the osculating circles of the ellipse 4x2 + 9y2 = 36 at the points (3, 0) and (0,…

A: Concept- we can find equation of oscillating circle with the help of parametric equation.

Q: Find an equation of the ellipse with foci at (0, 8) and (0, -8), and has major axis of length 20.…

A: Given : Foci of ellipse (0,8) and(0,-8) Length of major axis = 20.   To find : The equation of…

Q: Find the coordinates of the foci and vertices, the endpoints of the major axis, minor axis, and the…

A:

Q: Find an equation of the ellipse that has center (-3, 5), a minor axis of length 2, and a yertex at…

A:

Q: Find the standard form of the equation of the ellipse with the given characteristics. Vertices: (3,…

A:

Q: Find the standard form of the equation of the ellipse satisfying the given conditions. Endpoints of…

A: Given : Endpoints of major axis: (1,8) and (1, -4) Endpoints of minor axis: (6,2) and (-4,2)

Q: then find the end points of the minor and major axis for the graph of this ellipse. Maximum point on…

A: Compare the given equation of the ellipse with standard form of ellipse with center at origin,…

Q: Find an equation of the ellipse that has center (2, -2), a minor axis of length 6, and a vertex at…

A:

Q: Find an equation of the ellipse with minor axis length 6, and vertices (3, 1) and (3,9).

A:

Q: Find an equation of an ellipse with center at (0,0), vertices (±6,0) and eccentricity 3/5:

A: Given : Center of an ellipse (0, 0). Vertices of an ellipse are (6, 0) and (-6, 0) Eccentricity =…

Q: Find an equation that models the path of a satellite if its path is a hyperbola, a = 55,000 km, and…

A: The standard equation of hyperbola with center (0,0) and having horizontal transverse axis is given…

Q: Find the equation of the ellipse with the given properties: Vertices at (± 7, 0) and endpoints of…

A:

Q: Find the standard form of the equation of the ellipse satisfying the given conditions. Endpoints of…

A: Our Aim is to find the standrad form of the eliipse satisfying the given conditions:-Endpoints of…

Q: Find an equation of the ellipse that has center (-5, 2), a gmjor axis of length 4, and endpoint of…

A: Equation of ellipse:x-h2a2+y-k2b2=1

Q: Find an equation for the ellipse with Center at: (0, 0) Foci at: (+5, 0) Vertices at: (±6, 0)

A: 6. The ellipse have center at 0,0 , foci ±5,0 and vertices ±6,0  Note: Multiple questions are given,…

Q: Center at (-2,3): major axis is horizontal; passing through (1,4) and (2,3)

A: The center at (-2,3), the major axis is horizontal and passing through (1,4) and (2,3). We have to…

Q: If the center of an ellipse is (3, –2), the major axis is horizontal and parallel to the x-axis, and…

A: An ellipse is a conic with eccentricity between 0 and 1. It has two axes: major axis and a minor…

Q: Two LORAN radio stations A and B are 200 kilometers apart and send a simultaneous radio signal to a…

A: Concept: A collection of points defines a hyperbola when the difference of distances between two…

Q: Find the parametric, vector and Cartesian equations of the Ellipse with vertices (1.7, 2.9) and…

A:

Q: Find the standard form of the equation of the ellipse satisfying the given conditions. Endpoints of…

A:

Q: A satellite is to be put into an elliptical orbit around a moon. The moon is a sphere with radius of…

A: The correct option is B . See the explanation in the attachment below...

Q: The moon's orbit is an ellipse with Earth as one focus. If the maximum distance from the moon to…

A: Since, we have been given that the moon's orbit is an ellipse with Earthas one of its focus, Here we…

Q: Two LORAN radio stations A and B are 110 kilometers apart and send a simultaneous radio signal to a…

A: We have to find the equation of Hyperbola.

Q: Find an equation for the ellipse. Center at (0, 0); focus at (-2, 0); vertex at (7, 0)

A: According to question given that Center (0,0), focus (-2,0), vertex (7,0)We have to find the…

Q: Find the eccentricity of an ellipse whose latus - rectum is (i) Half of its minor axis (ii) Half of…

A:

Q: If the center of an ellipse is (3, -2),the major axis is horizontal and parallel to the x-axis and…

A:

Q: Find an equation of the ellipse that has center (-3, 0), a minor axis of length 4, and a vertex at…

A:

Q: The earth revolves around the sun along an ellipse. The sun lies in the focus of the ellipse. The…

A: Given: The earth revolves around the sun along an ellipse. The sun lies in the focus of the ellipse.…

Q: Find an equation for the ellipse that satisfies the given conditions. Foci: (0, +5), Vvertices: (0,…

A:

Q: Find an equation of the ellipse that has center (1, – 2), a minor axis of length 6, and a vertex at…

A:

Q: Find an equation of the ellipse that has center (-3, 2), a minor axis of length 6, and a vertex at…

A: eq. of ellipsex-h2b2+y-k2a2=1,  where h,k is center of ellipse.

Q: 3 Ellipse : Enas of minor axis at (-1,2) and (-4-4) and a Focus at

A: Given that the ends of minor axis of an ellipse are at (-1,2) and (-1,-4) and a focus at (1,-1).

Q: Find the equation of an ellipse that has center (1,0), a minor axis of length 6, and a vertex at…

A: One of the vertex is (1,8) and center is (1,0) So other vertex is (1, -8). So the two vertices of…

Q: find the standard equation of an ellipse centered at the origin whose major axis is horizontal and…

A: We know that standard equation of an ellipse centered at the (h,k) whose major axis is horizontal…

Q: the earth revolves around the sun along an ellipse. the sun lies in the focus of the ellipse. The…

A: The earth revolves around the sun along an ellipse. The sun lies in the focus of the ellipse. The…

Q: What is the eccentricity of an ellipse whose major axis is twice as long as its minor axis?* V3 3 2…

A: Topic = Ellipse Correct option = option 1

Q: Find the standard form of the equation of the ellipse with the given characteristics. Vertices: (3,…

A: Under this case, vertices are given by (xc, yc ± a)

Q: Find an equation of the ellipse that has center (0,-2), a minor axis of length 8, and a vertex at…

A: We have to find the equation of the ellipse.

Q: Find the standard form of the equation of the ellipse with the given characteristics. Vertices: (3,…

A: Ellipse equation.

Q: The orbit of a planet around the sun is not circular; it is an ellipse with the Sun at one focus.…

A: According to question We have to calculate an equation to represent the orbit of plutoAround the…

Q: Find an equation for the ellipse of eccentricity 2 /3 that has the line x = 2 as a directrix and the…

A: To determine the equation of the ellipse.

Q: The earth revolves around the sun along an ellipse. The sun lies in the focus of the ellipse . The…

A: To Determine: Find the length of of the semi minor axis of the ellipse and the eccentricity of the…

Q: Find an equation of the ellipse that has center (5,-1), a minor axis of length 4, and a vertex at…

A:

Q: Find the standard form of the equation of ellipse satisfying the given conditions as, end points of…

A: we have to find the standard form of the equation of the ellipse satisying the given conditions as…

Q: Find an equation of the ellipse that has center (0, -3), a minor axis of length 12, and a vertex at…

A:

Q: Find an equation of the ellipse that has center (-2, – 1), a minor axis of length 2, and a vertex at…

A:

Q: Find an equation of the ellipse that has center (-1, -2), a minor axis of length 8, and a vertex at…

A: Given that: Centre of ellipse, (h, k)=(-1, -2)Minor axis length, 2b=8Vertex= (-6, -2)