x+2/20 = 9/8 x X/18

asked by guest
on Nov 18, 2024 at 4:34 am



You asked:

Investigate the equation: \(x + \frac{2}{20} = \frac{\frac{9}{8} \cdot x X}{18}\).

MathBot Answer:

The graph of the equation \(x + \frac{2}{20} = \frac{\frac{9}{8} \cdot x X}{18}\) is a hyperbola.

The coordinates of its foci are: \(\left(\frac{4 \sqrt{5}}{5} + 16, \frac{4 \sqrt{5}}{5}\right)\) and \(\left(16 - \frac{4 \sqrt{5}}{5}, - \frac{4 \sqrt{5}}{5}\right)\).

The coordinates of its vertices are: \(\left(\frac{2 \sqrt{10}}{5} + 16, \frac{2 \sqrt{10}}{5}\right)\) and \(\left(16 - \frac{2 \sqrt{10}}{5}, - \frac{2 \sqrt{10}}{5}\right)\).

The asymptotes have equations: \(8 \sqrt{10} x = 0\) and \(8 \sqrt{10} X - 128 \sqrt{10} = 0\).

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