What is ((x+6)^2)/(100)+((y-8)^2)/(36)=1 ?

The solution to ((x+6)^2)/(100)+((y-8)^2)/(36)=1 is Ellipse with (h,k)=(-6,8),a=10,b=6

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((x+6)^2)/(100)+((y-8)^2)/(36)=1

\frac{( x + 6 ) ^{2}}{100} + \frac{( y - 8 ) ^{2}}{36} = 1

(h, k) = (- 6, 8), a = 10, b = 6

Solution steps

\frac{( x + 6 ) ^{2}}{100} + \frac{( y - 8 ) ^{2}}{36} = 1

Rewrite

\frac{( x + 6 ) ^{2}}{100} + \frac{( y - 8 ) ^{2}}{36} = 1

in the form of the standard ellipse equation

\frac{( x - ( - 6 ) ) ^{2}}{1 0 ^{2}} + \frac{( y - 8 ) ^{2}}{6 ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (- 6, 8), a = 10, b = 6

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

Ellipse with center (h, k) = (- 6, 8), a = 10, b = 6

- 7 x^{2} - 9 y^{2} - 63 = 0

\frac{( ( x + 5 ) ^{2} )}{36} + \frac{( ( y - 1 ) ^{2} )}{9} = 1

x^{2} + y^{2} = 25 y

\frac{\frac{3 x ^{2}}{4}}{12} + (\frac{\frac{4 y}{4}}{12})^{2} = 1

\frac{( X + 7 ) ^{2}}{16} + \frac{( Y - 5 ) ^{2}}{25} = 1

What is ((x+6)^2)/(100)+((y-8)^2)/(36)=1 ?
The solution to ((x+6)^2)/(100)+((y-8)^2)/(36)=1 is Ellipse with (h,k)=(-6,8),a=10,b=6