Let H be the hyperbola 44x2 + 676xy + 551y = = 4500. The change of coordinates V5 V5 transforms the equation of H into an equation of a non-rotated hyperbola in the uv- coordinate system. Observe that the 2 x 2 matrix corresponding to the above-stated change of coordinates is Re , where 0=arctan(2). Apply the change of coordinates indicated above to determine the exact value of the distance between the two foci of the hyperbola Н. What is the distance between the two foci of Н?

Algebra and Trigonometry (6th Edition)
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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,...
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Let H be the hyperbola
44x2 + 676xy + 551y = 4500.
The change of coordinates
1
V5
и
%3D
y
V5
transforms the equation of H into an equation
of a non-rotated hyperbola in the uv-
coordinate system. Observe that the 2 x 2
matrix corresponding to the above-stated
change of coordinates is Rø , where
0=arctan(2).
Apply the change of coordinates indicated
above to determine the exact value of the
distance between the two foci of the hyperbola
Н.
What is the distance between the two foci of
Н?
Transcribed Image Text:Let H be the hyperbola 44x2 + 676xy + 551y = 4500. The change of coordinates 1 V5 и %3D y V5 transforms the equation of H into an equation of a non-rotated hyperbola in the uv- coordinate system. Observe that the 2 x 2 matrix corresponding to the above-stated change of coordinates is Rø , where 0=arctan(2). Apply the change of coordinates indicated above to determine the exact value of the distance between the two foci of the hyperbola Н. What is the distance between the two foci of Н?
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