What is the axis 5x^2+7y^2=35 ?

The axis 5x^2+7y^2=35 is semi-major axis a=sqrt(7), semi-minor axis b=sqrt(5)

axis 5x^2+7y^2=35

axis

5 x^{2} + 7 y^{2} = 35

semi - major axis a = 7, semi - minor axis b = 5

Solution steps

5 x^{2} + 7 y^{2} = 35

Rewrite

5 x^{2} + 7 y^{2} = 35

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

x^{2} + \frac{( y - 6 ) ^{2}}{16} = 1

\frac{( x + 2 ) ^{2}}{64} + \frac{( y - 1 ) ^{2}}{81} = 1

(\frac{x - 3}{9})^{2} + (\frac{y + 1}{4})^{2} = 1

25 x^{2} + 4 y^{2} - 50 x + 16 y - 59 = 0

\frac{( x - 4 ) ^{2}}{9} + \frac{( y + 2 ) ^{2}}{25} = 1

What is the axis 5x^2+7y^2=35 ?
The axis 5x^2+7y^2=35 is semi-major axis a=sqrt(7), semi-minor axis b=sqrt(5)