What is (y^2)/(64)+(x^2)/(100)=1 ?

The solution to (y^2)/(64)+(x^2)/(100)=1 is Ellipse with (h,k)=(0,0),a=10,b=8

Popular >

(y^2)/(64)+(x^2)/(100)=1

\frac{y ^{2}}{64} + \frac{x ^{2}}{100} = 1

(h, k) = (0, 0), a = 10, b = 8

Solution steps

\frac{y ^{2}}{64} + \frac{x ^{2}}{100} = 1

Rewrite

\frac{y ^{2}}{64} + \frac{x ^{2}}{100} = 1

in the form of the standard ellipse equation

\frac{( x - 0 ) ^{2}}{1 0 ^{2}} + \frac{( y - 0 ) ^{2}}{8 ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (0, 0), a = 10, b = 8

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

Ellipse with center (h, k) = (0, 0), a = 10, b = 8

\frac{( x + 2 ) ^{2}}{64} + \frac{( y - 3 ) ^{2}}{b} = 1

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

\frac{( x ^{(2)} )}{( 64 )} + \frac{( y ^{(2)} )}{( 36 )} = 1

\frac{( x + 1 ) ^{2}}{\frac{15}{4}} + \frac{( y + \frac{3}{2} ) ^{2}}{16} = 1

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

What is (y^2)/(64)+(x^2)/(100)=1 ?
The solution to (y^2)/(64)+(x^2)/(100)=1 is Ellipse with (h,k)=(0,0),a=10,b=8