What is the asymptotes of (x^2)/(100)-(y^2)/(64)=1 ?

The asymptotes of (x^2)/(100)-(y^2)/(64)=1 is y=(4x)/5 ,\quad y=-(4x)/5

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asymptotes of (x^2)/(100)-(y^2)/(64)=1

asymptotes

\frac{x ^{2}}{100} - \frac{y ^{2}}{64} = 1

y = \frac{4 x}{5}, y = - \frac{4 x}{5}

Solution steps

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

Calculate Hyperbola properties

\frac{x ^{2}}{100} - \frac{y ^{2}}{64} = 1 :

Right-left Hyperbola with

(h, k) = (0, 0), a = 10, b = 8

y = \frac{8}{10} (x - 0) + 0, y = - \frac{8}{10} (x - 0) + 0

Refine

y = \frac{4 x}{5}, y = - \frac{4 x}{5}

x^{2} + y^{2} \leq 4

f (x) = x^{2} + 4 x + 3

y = \frac{1}{12} x^{2}

x^{2} + y^{2} - 6 x + 5 = 0

y^{2} = x + 2

What is the asymptotes of (x^2)/(100)-(y^2)/(64)=1 ?
The asymptotes of (x^2)/(100)-(y^2)/(64)=1 is y=(4x)/5 ,\quad y=-(4x)/5