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Beliebt Geometry >

(x^2)/9+(y^2)/4 = x/6+y/3

Lösung

\frac{x ^{2}}{9} + \frac{y ^{2}}{4} = \frac{x}{6} + \frac{y}{3}

Lösung

(h, k) = (\frac{3}{4}, \frac{2}{3}), a = \frac{5}{4}, b = \frac{5}{6}

Schritte zur Lösung

\frac{x ^{2}}{9} + \frac{y ^{2}}{4} = \frac{x}{6} + \frac{y}{3}

Rewrite

\frac{x ^{2}}{9} + \frac{y ^{2}}{4} = \frac{x}{6} + \frac{y}{3}

in the form of the standard ellipse equation

\frac{( x - \frac{3}{4} ) ^{2}}{( \frac{5}{4} ) ^{2}} + \frac{( y - \frac{2}{3} ) ^{2}}{( \frac{5}{6} ) ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (\frac{3}{4}, \frac{2}{3}), a = \frac{5}{4}, b = \frac{5}{6}

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

Ellipse with center (h, k) = (\frac{3}{4}, \frac{2}{3}), a = \frac{5}{4}, b = \frac{5}{6}

Graph

Beliebte Beispiele

((x+1)^2}{36}+\frac{(y+2)^2)/9 =1

\frac{( x + 1 ) ^{2}}{36} + \frac{( y + 2 ) ^{2}}{9} = 1

((x-1.29)^2)/(1.17)+(y^2)/(2.77)=2

\frac{( x - 1.29 ) ^{2}}{1.17} + \frac{y ^{2}}{2.77} = 2

(x/9)^2+(y/4)^2=1

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

5(x+1)^2+3y^2=15

5 (x + 1)^{2} + 3 y^{2} = 15

4y^{(2)}+2x^{(2)}+48y+4x-22=0

4 y^{(2)} + 2 x^{(2)} + 48 y + 4 x - 22 = 0