math
posted by zinnia .
Find equations for the asymptotes of the hyperbola x2/9  y2/81 = 1
Rewrite the equation as
(x/3)^2  (y/9)^2 = 1
When both x and y are very large in absolute value, the "1" on the right is negligible in comparison, so y/9 approaches +/ x/3
The asymptotes are therefore
y = 3x and y = 3x.
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