an equation of an ellipse given the center, an endpoint ...Find an equation of the ellipse that has center (0, 5), a major axis of length 4, and endpoint of minor axis (1, 5).O=0

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Answered: Find an equation of the ellipse that…

Trigonometry (MindTap Course List)

10th Edition

ISBN:9781337278461

Author:Ron Larson

Publisher:Ron Larson

Chapter6: Topics In Analytic Geometry

Section6.3: Ellipses

Problem 51E

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Similar questions

Tour Boat A tour boat travels between two islands that are 12 miles apart (see figure). There is enough fuel for a 20-mile trip. (a) Explain why the region in which the boat can travel is bounded by an ellipse. (b) Let 0,0 represent the center of the ellipse. Find the coordinates of each island. (c) The boat travels from Island 1, past Island 2 to a vertex of the ellipse, and then to Island 2. How many miles does the boat travel? Use your answer to find the coordinates of the vertex. (d) Use the results from parts (b) and (c) to write an equation of the ellipse that bounds the region in which the boat can travel.
Tour Boat A tour boat travels between two islands that are 12 miles apart (see figure). For each trip between the islands, there is enough fuel for a 20-mile trip. (a) Explain why the region in which the boat can travel is bounded by an ellipse. (b) Let (0,0) represent the center of the ellipse. Find the coordinates of the center of each island. (c) The boat travels from Island 1, past Island 2 to one vertex of the ellipse, and then to Island 2 (see figure). How many miles does the boat travel? Use your answer to find the coordinates of the vertex. (d) Use the results of parts (b) and (c) to write an equation of the ellipse that bounds the region in which the boat can travel.
Self Check Find an equation in the standard form of the ellipse with center at the origin, major axis of length 10 on the y axis, and minor axis of length 8.
What is the standard form equation of the ellipse that has vertices (0,4) and foci (0+15)

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Find an equation of the ellipse that has center (0, 5), a major axis of length 4, and endpoint of minor axis (1, 5). O=0