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Beliebt Geometry >

(x^2)/(7^2)+(y^2)/(5^2)=1

Lösung

\frac{x ^{2}}{7 ^{2}} + \frac{y ^{2}}{5 ^{2}} = 1

Lösung

(h, k) = (0, 0), a = 7, b = 5

Schritte zur Lösung

\frac{x ^{2}}{7 ^{2}} + \frac{y ^{2}}{5 ^{2}} = 1

Rewrite

\frac{x ^{2}}{7 ^{2}} + \frac{y ^{2}}{5 ^{2}} = 1

in the form of the standard ellipse equation

\frac{( x - 0 ) ^{2}}{7 ^{2}} + \frac{( y - 0 ) ^{2}}{5 ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (0, 0), a = 7, b = 5

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

Ellipse with center (h, k) = (0, 0), a = 7, b = 5

Graph

Beliebte Beispiele

3x^2+7y^2-12x-28y+19=0

3 x^{2} + 7 y^{2} - 12 x - 28 y + 19 = 0

16x^2+25y^2=1600

16 x^{2} + 25 y^{2} = 1600

4x^2+9y^2-8x-32=0

4 x^{2} + 9 y^{2} - 8 x - 32 = 0

4x^2+9y^2-64x+54y+301=0

4 x^{2} + 9 y^{2} - 64 x + 54 y + 301 = 0

6.25x^2+16y^2-12.5x+64y-29.75=0

6.25 x^{2} + 16 y^{2} - 12.5 x + 64 y - 29.75 = 0