What is ((x^2)/(15))+((y^2)/(16))=1 ?

The solution to ((x^2)/(15))+((y^2)/(16))=1 is Ellipse with (h,k)=(0,0),a=sqrt(15),b=4

Popular >

((x^2)/(15))+((y^2)/(16))=1

(\frac{x ^{2}}{15}) + (\frac{y ^{2}}{16}) = 1

(h, k) = (0, 0), a = 15, b = 4

Solution steps

\frac{x ^{2}}{15} + \frac{y ^{2}}{16} = 1

Rewrite

\frac{x ^{2}}{15} + \frac{y ^{2}}{16} = 1

in the form of the standard ellipse equation

\frac{( x - 0 ) ^{2}}{( 15 ) ^{2}} + \frac{( y - 0 ) ^{2}}{4 ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (0, 0), a = 15, b = 4

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

Ellipse with center (h, k) = (0, 0), b = 4, a = 15

\frac{x ^{2}}{25} + \frac{z ^{2}}{64} = 1

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

\frac{x ^{2}}{64} + \frac{y ^{2}}{1} = 1

x^{2} + 4 y^{2} + 20 x - 40 y = - 100

\frac{x ^{2}}{9} + \frac{y ^{2}}{64} = 1

What is ((x^2)/(15))+((y^2)/(16))=1 ?
The solution to ((x^2)/(15))+((y^2)/(16))=1 is Ellipse with (h,k)=(0,0),a=sqrt(15),b=4