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anonymous one year ago Identify the slope of the asymptotes of 5(y -1)2 - 20(x - 1)2 =64

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1. mathmate

Have you done hyperbolas yet?

2. mathmate

@karly12 ?

3. mathmate

Guess you're away from the keyboard, so I will give you a few hints and let you continue working on it.

4. mathmate

Hints: 1. The equations represent a hyperbola centred at (1,1). 2. The hyperbola has the equation of the form (y/a)^2-(x/b)^2=1...............(1) so the axis (line joining the two foci) is vertical. 3. With a vertical axis, the slope of the asymptotes is $$\pm a/b$$. 4. So, if you transform the given equation to form (1) above, then you can find a and b, from which you can determine the slope a/b. Note that you can keep the (y-1)^2 and (x-1)^2 intact, since they simply represent a translation of the centre of the hyperbola, and will not change the slope of the asymptotes. If you need more information, everything you need is here: http://www.purplemath.com/modules/hyperbola.htm

5. anonymous

Thank you so much!!!

6. mathmate

You're welcome! :)

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