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Beliebt Geometry >

((x-2.1)^2)/(2.25)+((y+1.6)^2)/(6.16)=1

Lösung

\frac{( x - 2.1 ) ^{2}}{2.25} + \frac{( y + 1.6 ) ^{2}}{6.16} = 1

Lösung

(h, k) = (2.1, - 1.6), a = 2.25, b = 6.16

Schritte zur Lösung

\frac{( x - 2.1 ) ^{2}}{2.25} + \frac{( y + 1.6 ) ^{2}}{6.16} = 1

Rewrite

\frac{( x - 2.1 ) ^{2}}{2.25} + \frac{( y + 1.6 ) ^{2}}{6.16} = 1

in the form of the standard ellipse equation

\frac{( x - 2.1 ) ^{2}}{( 2.25 ) ^{2}} + \frac{( y - ( - 1.6 ) ) ^{2}}{( 6.16 ) ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (2.1, - 1.6), a = 2.25, b = 6.16

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

Ellipse with center (h, k) = (2.1, - 1.6), b = 6.16, a = 2.25

Graph

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