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Beliebt Geometry >

(25x^2)/(400-12^2)+(16y^2)/(400-12^2)=1

Lösung

\frac{25 x ^{2}}{400 - 1 2 ^{2}} + \frac{16 y ^{2}}{400 - 1 2 ^{2}} = 1

Lösung

(h, k) = (0, 0), a = \frac{16}{5}, b = 4

Schritte zur Lösung

\frac{25 x ^{2}}{400 - 1 2 ^{2}} + \frac{16 y ^{2}}{400 - 1 2 ^{2}} = 1

Rewrite

\frac{25 x ^{2}}{400 - 1 2 ^{2}} + \frac{16 y ^{2}}{400 - 1 2 ^{2}} = 1

in the form of the standard ellipse equation

\frac{( x - 0 ) ^{2}}{( \frac{16}{5} ) ^{2}} + \frac{( y - 0 ) ^{2}}{4 ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (0, 0), a = \frac{16}{5}, b = 4

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

Ellipse with center (h, k) = (0, 0), b = 4, a = \frac{16}{5}

Graph

Beliebte Beispiele

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

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

x^2-2x+3y^2-2y-5=0

x^{2} - 2 x + 3 y^{2} - 2 y - 5 = 0

2 y - x^{2} - y^{2} \geq 0

25x^2+4y^2-8x+200y+304=0

25 x^{2} + 4 y^{2} - 8 x + 200 y + 304 = 0

2 x^{2} + y^{2} + 2 y = 1