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# (x-24)(y-36)=240?

hyberbola

### 7 Answers

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(x - 24) (y - 36) = 240

Divide both sides by (x - 24) to get

y - 36 = 240 / (x - 24)

Add 36 to both sides to get

y = 240/(x - 24) + 36

This is indeed a hyperbola, but what you have to calculate are the x and y asymptotes.

To solve for the x-asymptote, equate the denominator of the fraction to 0 (after all, this is where the function is undefined). Thus, x - 24 = 0, which implies x = 24, which is our vertical asymptote.

To solve for the y-asymptote, all you have to do is look at the number added to the fraction. In this case, it's 36. So y = 36 is the horizontal asymptote.

All you have to do is solve the y and x intercepts and then the hyperbola will be graphable.

• (x-24) (y-36) = 240

(y-36) = 240/(x-24)

y = 240/(x-24) + 36

x > 24 or x < 24

y correspond with x's value.

There is more than 1 solution.

• y-36=240/[x-24]

y=240/[x-24]+36

it is a curve of the type

y=1/x

This is not a hyperbola whose

equation is of the type

[x-xo]^2/a^2-[y-yo]^2/b^2=1

• It is not right to say ( X-24 ) (y-36)=240

because u have too many answers

you have to add another one like x +5y=320

thanks

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• Anonymous
1 decade ago

x=28 and y=96

• This is a question or a statement?

I don't think this is the equation of a parabola. A parabolic function is of the form:

(x-a)^2 - (y-b)^2 = c^2

• Y = +-6.67

X = +-10

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Source(s): (~.~) Maths
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