Use the Principal Axes Theorem to perform a rotation of axes to eliminate the xy-term in the quadratic equation. 8x2 - 4xy + 5y? - 36 = 0 (a) Identify the resulting rotated conic. O parabola hyperbola ellipse (b) Give its equation in the new coordinate system. (Use xp and yp as the new coordinates.) Need Help? Talk to a Tutor Read It

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
Question
Use the Principal Axes Theorem to perform a rotation of axes to eliminate the xy-term in the quadratic equation.
8x2 - 4xy + 5y? - 36 = 0
(a) Identify the resulting rotated conic.
O parabola
hyperbola
ellipse
(b) Give its equation in the new coordinate system. (Use xp and yp as the new coordinates.)
Need Help?
Talk to a Tutor
Read It
Transcribed Image Text:Use the Principal Axes Theorem to perform a rotation of axes to eliminate the xy-term in the quadratic equation. 8x2 - 4xy + 5y? - 36 = 0 (a) Identify the resulting rotated conic. O parabola hyperbola ellipse (b) Give its equation in the new coordinate system. (Use xp and yp as the new coordinates.) Need Help? Talk to a Tutor Read It
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