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Beliebt Geometry >

((x-3)^2)/(2/9)+((y-5)^2)/(25)=1

Lösung

\frac{( x - 3 ) ^{2}}{\frac{2}{9}} + \frac{( y - 5 ) ^{2}}{25} = 1

Lösung

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

Schritte zur Lösung

\frac{( x - 3 ) ^{2}}{\frac{2}{9}} + \frac{( y - 5 ) ^{2}}{25} = 1

Rewrite

\frac{( x - 3 ) ^{2}}{\frac{2}{9}} + \frac{( y - 5 ) ^{2}}{25} = 1

in the form of the standard ellipse equation

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

Therefore ellipse properties are:

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

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

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

Graph

Beliebte Beispiele

5x^2+20x+7y^2+14y=8

5 x^{2} + 20 x + 7 y^{2} + 14 y = 8

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

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

solvefor x,(Y(x)^2)/(4-x^2)=1

so l v e f or x, \frac{Y ( x ) ^{2}}{4 - x ^{2}} = 1

(y^2}{16}=1-\frac{x^2)/9

\frac{y ^{2}}{16} = 1 - \frac{x ^{2}}{9}

4x^2+9y^2+16x-36y+16=0

4 x^{2} + 9 y^{2} + 16 x - 36 y + 16 = 0