What is ((x^{(2)}))/((16))+((y^{(2)}))/((7))=1 ?

The solution to ((x^{(2)}))/((16))+((y^{(2)}))/((7))=1 is Ellipse with (h,k)=(0,0),a=4,b=sqrt(7)

Popular >

((x^{(2)}))/((16))+((y^{(2)}))/((7))=1

\frac{( x ^{(2)} )}{( 16 )} + \frac{( y ^{(2)} )}{( 7 )} = 1

(h, k) = (0, 0), a = 4, b = 7

Solution steps

\frac{x ^{2}}{16} + \frac{y ^{2}}{7} = 1

Rewrite

\frac{x ^{2}}{16} + \frac{y ^{2}}{7} = 1

in the form of the standard ellipse equation

\frac{( x - 0 ) ^{2}}{4 ^{2}} + \frac{( y - 0 ) ^{2}}{( 7 ) ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (0, 0), a = 4, b = 7

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

Ellipse with center (h, k) = (0, 0), a = 4, b = 7

\frac{( x - 4 ) ^{2}}{5 ^{2}} + \frac{( y - 7 ) ^{2}}{3 ^{2}} = 1

9 x^{2} + 25 y^{2} + 18 x - 50 y = 191

\frac{x ^{2}}{9} + \frac{x ^{2}}{16} + \frac{z ^{2}}{9} = 1

9 x^{2} + 4 y^{2} - 72 x - 16 y + 124 = 0

8 x^{2} + 9 y^{2} + 24 x + 18 y = 10

What is ((x^{(2)}))/((16))+((y^{(2)}))/((7))=1 ?
The solution to ((x^{(2)}))/((16))+((y^{(2)}))/((7))=1 is Ellipse with (h,k)=(0,0),a=4,b=sqrt(7)