What is the axis 25x^2+144y^2=900 ?

The axis 25x^2+144y^2=900 is semi-major axis a=6, semi-minor axis b= 5/2

Popular >

axis 25x^2+144y^2=900

axis

25 x^{2} + 144 y^{2} = 900

semi - major axis a = 6, semi - minor axis b = \frac{5}{2}

Solution steps

25 x^{2} + 144 y^{2} = 900

Rewrite

25 x^{2} + 144 y^{2} = 900

in the form of the standard ellipse equation

\frac{( x - 0 ) ^{2}}{6 ^{2}} + \frac{( y - 0 ) ^{2}}{( \frac{5}{2} ) ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (0, 0), a = 6, b = \frac{5}{2}

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

Ellipse with center (h, k) = (0, 0), a = 6, b = \frac{5}{2}

49 x^{2} + 16 y^{2} = 784

x^{2} + 4 y^{2} + 6 x + 16 y + 21 = 0

x^{2} + 2 y^{2} - 8 y = 0

\frac{x ^{2}}{36} + \frac{y ^{2}}{25} = 1

\frac{x ^{2}}{4 ^{2}} + \frac{y ^{2}}{3 ^{2}} = 1

What is the axis 25x^2+144y^2=900 ?
The axis 25x^2+144y^2=900 is semi-major axis a=6, semi-minor axis b= 5/2