de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Geometry >

d^2=(3-10t)^2+(2-40t)^2

Lösung

d^{2} = (3 - 10 t)^{2} + (2 - 40 t)^{2}

Lösung

(h, k) = (0, \frac{11}{170}), a = \frac{10}{17}, b = \frac{1}{17}

Schritte zur Lösung

d^{2} = (3 - 10 t)^{2} + (2 - 40 t)^{2}

Rewrite

d^{2} - (3 - 10 t)^{2} - (2 - 40 t)^{2} = 0

in the form of a standard hyperbola equation

\frac{( d - 0 ) ^{2}}{( \frac{10}{17} ) ^{2}} - \frac{( t - \frac{11}{170} ) ^{2}}{( \frac{1}{17} ) ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (0, \frac{11}{170}), a = \frac{10}{17}, b = \frac{1}{17}

Graph

Beliebte Beispiele

-1/2 ((x^2)/2-100x)+3y^2-150y=100

- \frac{1}{2} (\frac{x ^{2}}{2} - 100 x) + 3 y^{2} - 150 y = 100

(x^2)/4-(y^2)/(64)=1

\frac{x ^{2}}{4} - \frac{y ^{2}}{64} = 1

(x^2)/2+(y^2)/(-2-16)=1

\frac{x ^{2}}{2} + \frac{y ^{2}}{- 2 - 16} = 1

2/(x-y)+3/(x+y)=2

\frac{2}{x - y} + \frac{3}{x + y} = 2

y^{2} - x^{2} = 27