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Beliebt Geometry >

((x-4)^2)/4+((y-5)^2)/(36)=1

Lösung

\frac{( x - 4 ) ^{2}}{4} + \frac{( y - 5 ) ^{2}}{36} = 1

Lösung

(h, k) = (4, 5), a = 2, b = 6

Schritte zur Lösung

\frac{( x - 4 ) ^{2}}{4} + \frac{( y - 5 ) ^{2}}{36} = 1

Rewrite

\frac{( x - 4 ) ^{2}}{4} + \frac{( y - 5 ) ^{2}}{36} = 1

in the form of the standard ellipse equation

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

Therefore ellipse properties are:

(h, k) = (4, 5), a = 2, b = 6

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

Ellipse with center (h, k) = (4, 5), b = 6, a = 2

Graph

Beliebte Beispiele

y^{2} = 1 - 16 x^{2}

2 y^{2} + 4 z^{2} = 4

6 x^{2} + 7 y^{2} = 6

7x^{(2)}+10y^{(2)}-56x+100y+292=0

7 x^{(2)} + 10 y^{(2)} - 56 x + 100 y + 292 = 0

5 x^{2} + 7 y^{2} = 70