What is the asymptotes of 25y^2-36(x-8)^2=900 ?

The asymptotes of 25y^2-36(x-8)^2=900 is y= 6/5 (x-8),\quad y=-6/5 (x-8)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

asymptotes of 25y^2-36(x-8)^2=900

asymptotes

25 y^{2} - 36 (x - 8)^{2} = 900

y = \frac{6}{5} (x - 8), y = - \frac{6}{5} (x - 8)

Solution steps

y = \pm \frac{a}{b} (x - h) + k

Calculate Hyperbola properties

25 y^{2} - 36 (x - 8)^{2} = 900 :

Up-down Hyperbola with

(h, k) = (8, 0), a = 6, b = 5

y = \frac{6}{5} (x - 8) + 0, y = - \frac{6}{5} (x - 8) + 0

Refine

y = \frac{6}{5} (x - 8), y = - \frac{6}{5} (x - 8)

\frac{x ^{2}}{25} - \frac{y ^{2}}{49} = 1

1 = \frac{x ^{2}}{4} - \frac{y ^{2}}{9}

16 x^{2} - 25 y^{2} = 100

- x^{2} + 4 y^{2} = 16

\frac{( x + 9 ) ^{2}}{9} - \frac{( y - 8 ) ^{2}}{4} = 1

What is the asymptotes of 25y^2-36(x-8)^2=900 ?
The asymptotes of 25y^2-36(x-8)^2=900 is y= 6/5 (x-8),\quad y=-6/5 (x-8)