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A Wilte the equation of the elipse that satisfles the given conditions glven that its center the origin. 1. The foci have a coordinate of (0, 4) and (0, - 4) and one of the vertices is at (0, - 5). is at

A Wilte the equation of the elipse that satisfles the given conditions glven that its center the origin. 1. The foci have a coordinate of (0, 4) and (0, - 4) and one of the vertices is at (0, - 5). is at

Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter12: Conic Sections
Section12.CR: Chapter Review
Problem 7CC
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Pre-Calculus. Please help me with these.

PRECALCULUS- ACTIVITY 9 MY UNDERSTANDING A Wilte the equation of the ellipse that satistles the glven conditions glven that its center s at the origin. 1. The foci have a coordinato of (0, 4) and (o, - 4) and one of the vertices is at (0, - 5). 2. The endpoints of the major axis are (0, - 4) and (0, 4) and the endpoints of the minor axis are (- 1, 0) and (1, 0). 3. The vertices are (0, 13) arid (0, - 13) and the length of the latus rectum is 4. The foci are an the y-axis, the length of the major axis is 6 units, and the lerigth of the minor axis is 2 units. B. Express each equation of the ellipse in standard form. Then, give the coordinates of the center, vertices, and foci. Draw the elipse, Its foci and directrices. 6. 16x + 25y + 32x - 150y - 159 = 0 6. * + 4y - 2x + 24y + 33 = 0 7. 4 +y + ix + 4y + 4 = 0 8. 25z + y+ 100x + By +=- 91 C. Solve the following problems. 9. A bridge is buit in the shape of a semi-alliptical arch and has a span of 120 feet. The height of the arch at a distance of 30 feet fram the center is 15 feet. Find the height of the arch at its center. 10. Claudia, an angineer, needs to build a bridge in the shape of a semi-elliptical arch. The bridge should have a span of 80n. The height of the arch at a distance of 25 feet from the center is to be 12 feet. Find the height of the arch at ts center.
Transcribed Image Text:PRECALCULUS- ACTIVITY 9 MY UNDERSTANDING A Wilte the equation of the ellipse that satistles the glven conditions glven that its center s at the origin. 1. The foci have a coordinato of (0, 4) and (o, - 4) and one of the vertices is at (0, - 5). 2. The endpoints of the major axis are (0, - 4) and (0, 4) and the endpoints of the minor axis are (- 1, 0) and (1, 0). 3. The vertices are (0, 13) arid (0, - 13) and the length of the latus rectum is 4. The foci are an the y-axis, the length of the major axis is 6 units, and the lerigth of the minor axis is 2 units. B. Express each equation of the ellipse in standard form. Then, give the coordinates of the center, vertices, and foci. Draw the elipse, Its foci and directrices. 6. 16x + 25y + 32x - 150y - 159 = 0 6. * + 4y - 2x + 24y + 33 = 0 7. 4 +y + ix + 4y + 4 = 0 8. 25z + y+ 100x + By +=- 91 C. Solve the following problems. 9. A bridge is buit in the shape of a semi-alliptical arch and has a span of 120 feet. The height of the arch at a distance of 30 feet fram the center is 15 feet. Find the height of the arch at its center. 10. Claudia, an angineer, needs to build a bridge in the shape of a semi-elliptical arch. The bridge should have a span of 80n. The height of the arch at a distance of 25 feet from the center is to be 12 feet. Find the height of the arch at ts center.
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