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Beliebt Geometry >

(x^2)/(4^2)+(y^2)/(6^2)=1

Lösung

\frac{x ^{2}}{4 ^{2}} + \frac{y ^{2}}{6 ^{2}} = 1

Lösung

(h, k) = (0, 0), a = 4, b = 6

Schritte zur Lösung

\frac{x ^{2}}{4 ^{2}} + \frac{y ^{2}}{6 ^{2}} = 1

Rewrite

\frac{x ^{2}}{4 ^{2}} + \frac{y ^{2}}{6 ^{2}} = 1

in the form of the standard ellipse equation

\frac{( x - 0 ) ^{2}}{4 ^{2}} + \frac{( y - 0 ) ^{2}}{6 ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (0, 0), a = 4, b = 6

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

Ellipse with center (h, k) = (0, 0), b = 6, a = 4

Graph

Beliebte Beispiele

7 x^{2} + y^{2} = 8

4x^2+32x+9y^2-18y+37=0

4 x^{2} + 32 x + 9 y^{2} - 18 y + 37 = 0

9(5.66-2)x^2+y^2=36

9 (5.66 - 2) x^{2} + y^{2} = 36

((x-4)^2)/(16)+((y+2)^2)/(36)=1

\frac{( x - 4 ) ^{2}}{16} + \frac{( y + 2 ) ^{2}}{36} = 1

y=(2x-4)/(-2y+4)x+6

y = \frac{2 x - 4}{- 2 y + 4} x + 6