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What are the asymptotes of 25x2 + 250x - 36y2 - 576y = 2579
Solution
given equation can be written as
25(X+5)^2 - 625 - 36(Y+8)^2 +2304 = 2579
(X+5)^2 / 36 - (Y+8)^2 / 25 = 1
it is a hyperbola equation
The center of the hyperbola is (5 , -8).
The x term is positive, indicating a horizontal hyperbola.
The transverse axis is y = -8

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What are the asymptotes of 25x2 + 250x - 36y2 - 576y = 2579Solut.pdf

  • 1. What are the asymptotes of 25x2 + 250x - 36y2 - 576y = 2579 Solution given equation can be written as 25(X+5)^2 - 625 - 36(Y+8)^2 +2304 = 2579 (X+5)^2 / 36 - (Y+8)^2 / 25 = 1 it is a hyperbola equation The center of the hyperbola is (5 , -8). The x term is positive, indicating a horizontal hyperbola. The transverse axis is y = -8