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Beliebt Geometry >

((x-6)^2)/(16)+((y+3)^2)/(25)=1

Lösung

\frac{( x - 6 ) ^{2}}{16} + \frac{( y + 3 ) ^{2}}{25} = 1

Lösung

(h, k) = (6, - 3), a = 4, b = 5

Schritte zur Lösung

\frac{( x - 6 ) ^{2}}{16} + \frac{( y + 3 ) ^{2}}{25} = 1

Rewrite

\frac{( x - 6 ) ^{2}}{16} + \frac{( y + 3 ) ^{2}}{25} = 1

in the form of the standard ellipse equation

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

Therefore ellipse properties are:

(h, k) = (6, - 3), a = 4, b = 5

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

Ellipse with center (h, k) = (6, - 3), b = 5, a = 4

Graph

Beliebte Beispiele

9x^2+4y^2+18x-8y-131=0

9 x^{2} + 4 y^{2} + 18 x - 8 y - 131 = 0

x^2-x+4y^2+24y+30=4

x^{2} - x + 4 y^{2} + 24 y + 30 = 4

5x^2+9y^2-8x-4=0

5 x^{2} + 9 y^{2} - 8 x - 4 = 0

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

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

4 x^{2} + 9 y^{2} = 1