What is (x^2)/(100)+(y^2)/(16)=1 ?

The solution to (x^2)/(100)+(y^2)/(16)=1 is Ellipse with (h,k)=(0,0),a=10,b=4

Popular >

(x^2)/(100)+(y^2)/(16)=1

\frac{x ^{2}}{100} + \frac{y ^{2}}{16} = 1

(h, k) = (0, 0), a = 10, b = 4

Solution steps

\frac{x ^{2}}{100} + \frac{y ^{2}}{16} = 1

Rewrite

\frac{x ^{2}}{100} + \frac{y ^{2}}{16} = 1

in the form of the standard ellipse equation

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

Therefore ellipse properties are:

(h, k) = (0, 0), a = 10, b = 4

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

Ellipse with center (h, k) = (0, 0), a = 10, b = 4

4 x^{2} + 16 y^{2} - 16 x - 48 = 0

50 y^{2} + 18 x^{2} - 200 y + 36 x - 232 = 0

3 x^{2} + 2 y^{2} + 6 x - 8 y - 25 = 0

\frac{x ^{2}}{6 ^{2}} + \frac{y ^{2}}{3 ^{2}} = 1

\frac{( x + 5 ) ^{2}}{4} + \frac{( y - 1 ) ^{2}}{25} = 1

What is (x^2)/(100)+(y^2)/(16)=1 ?
The solution to (x^2)/(100)+(y^2)/(16)=1 is Ellipse with (h,k)=(0,0),a=10,b=4