Homework Help: math

Posted by zinnia on Sunday, August 5, 2007 at 11:27am.

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.

No one has answered this question yet.

Answer this Question

Related Questions

Algebra - Given the hyperbola (x2/4) – (y2/9) = 1, find the equations for ...
MATH - use these facts to find the equation for the circle center (0,0), radius=...
math - how do I find the asymptotes of the hyperbola in the following equation...
Math - Given the hyperbola[(x+3)^2/4]-[(y-1)^2/9]=1,find the equations of the ...
calculus - Use implicit differentiation to find an equation of the tangent line ...
math - I Wanted To Find The Square Root Of (1-2i) But I Didn't Know How To ...
math 30 conics - Hi i was given the equation (y-2)^2 - x^2/4 =1. I need to find ...
pre cal - What is the center of the conic whose equation is x^2 + 2y^2 - 6x + ...
Algebra 2 - Find the distance between the points (12, 8) and (4, 2). 100 units ...
Pre-calculus-ck answers - Identify the graph of the equation 4x^2-25y^2=100. ...

For Further Reading

First Name:
School Subject:
Answer: