What is the axis (x^2)/(56)+(y^2)/(36)=1 ?

The axis (x^2)/(56)+(y^2)/(36)=1 is semi-major axis a=2sqrt(14), semi-minor axis b=6

Popular >

axis (x^2)/(56)+(y^2)/(36)=1

axis

\frac{x ^{2}}{56} + \frac{y ^{2}}{36} = 1

semi - major axis a = 214, semi - minor axis b = 6

Solution steps

\frac{x ^{2}}{56} + \frac{y ^{2}}{36} = 1

Rewrite

\frac{x ^{2}}{56} + \frac{y ^{2}}{36} = 1

in the form of the standard ellipse equation

\frac{( x - 0 ) ^{2}}{( 2 14 ) ^{2}} + \frac{( y - 0 ) ^{2}}{6 ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (0, 0), a = 214, b = 6

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

Ellipse with center (h, k) = (0, 0), a = 214, b = 6

25 x^{2} + 16 y^{2} + 100 x + 96 y - 156 = 0

\frac{( x - 5 ) ^{2}}{9} + \frac{( y - 3 ) ^{2}}{16} = 1

3 x^{2} + 7 y^{2} = 63

x^{2} + 4 y^{2} = 25

4 x^{2} + 9 y^{2} - 8 x - 36 y + 4 = 0

What is the axis (x^2)/(56)+(y^2)/(36)=1 ?
The axis (x^2)/(56)+(y^2)/(36)=1 is semi-major axis a=2sqrt(14), semi-minor axis b=6