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Beliebt Geometry >

((x-42)^2)/(12)+((y-20)^2)/(27)=1

Lösung

\frac{( x - 42 ) ^{2}}{12} + \frac{( y - 20 ) ^{2}}{27} = 1

Lösung

(h, k) = (42, 20), a = 23, b = 33

Schritte zur Lösung

\frac{( x - 42 ) ^{2}}{12} + \frac{( y - 20 ) ^{2}}{27} = 1

Rewrite

\frac{( x - 42 ) ^{2}}{12} + \frac{( y - 20 ) ^{2}}{27} = 1

in the form of the standard ellipse equation

\frac{( x - 42 ) ^{2}}{( 2 3 ) ^{2}} + \frac{( y - 20 ) ^{2}}{( 3 3 ) ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (42, 20), a = 23, b = 33

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

Ellipse with center (h, k) = (42, 20), b = 33, a = 23

Graph

Beliebte Beispiele

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