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Beliebt Geometry >

(y^2)/4+(x^2)/9 =10

Lösung

\frac{y ^{2}}{4} + \frac{x ^{2}}{9} = 10

Lösung

(h, k) = (0, 0), a = 310, b = 210

Schritte zur Lösung

\frac{y ^{2}}{4} + \frac{x ^{2}}{9} = 10

Rewrite

\frac{y ^{2}}{4} + \frac{x ^{2}}{9} = 10

in the form of the standard ellipse equation

\frac{( x - 0 ) ^{2}}{( 3 10 ) ^{2}} + \frac{( y - 0 ) ^{2}}{( 2 10 ) ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (0, 0), a = 310, b = 210

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

Ellipse with center (h, k) = (0, 0), a = 310, b = 210

Graph

Beliebte Beispiele

9x^2+16y^2+42x-24y+57=0

9 x^{2} + 16 y^{2} + 42 x - 24 y + 57 = 0

9x^2+5y^2+36x-30y+36=0

9 x^{2} + 5 y^{2} + 36 x - 30 y + 36 = 0

solvefor x,4x^2=20x-p(x)^2+4

so l v e f or x, 4 x^{2} = 20 x - p (x)^{2} + 4

3x^2+4y^2-12x+16y+16=0

3 x^{2} + 4 y^{2} - 12 x + 16 y + 16 = 0

4(x-2)^2+(y-3)^2=1

4 (x - 2)^{2} + (y - 3)^{2} = 1