What is (x^2)/(100)+(y^2)/(25)=16 ?

The solution to (x^2)/(100)+(y^2)/(25)=16 is Ellipse with (h,k)=(0,0),a=40,b=20

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(x^2)/(100)+(y^2)/(25)=16

\frac{x ^{2}}{100} + \frac{y ^{2}}{25} = 16

(h, k) = (0, 0), a = 40, b = 20

Solution steps

\frac{x ^{2}}{100} + \frac{y ^{2}}{25} = 16

Rewrite

\frac{x ^{2}}{100} + \frac{y ^{2}}{25} = 16

in the form of the standard ellipse equation

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

Therefore ellipse properties are:

(h, k) = (0, 0), a = 40, b = 20

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

Ellipse with center (h, k) = (0, 0), a = 40, b = 20

\frac{( x + 5 ) ^{2}}{25} + \frac{( y + 4 ) ^{2}}{9} = 1

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

25 xx + 9 yy - 18 y - 216 = 0

2 x^{2} + 5 y^{2} = 14

5 x^{2} + y^{2} + x + 8 y + 5 = 0

What is (x^2)/(100)+(y^2)/(25)=16 ?
The solution to (x^2)/(100)+(y^2)/(25)=16 is Ellipse with (h,k)=(0,0),a=40,b=20