What is ((y-3)/(64))^2+((x+5)^2)/(81)=1 ?

The solution to ((y-3)/(64))^2+((x+5)^2)/(81)=1 is Ellipse with (h,k)=(-5,3),a=9,b=64

Popular >

((y-3)/(64))^2+((x+5)^2)/(81)=1

(\frac{y - 3}{64})^{2} + \frac{( x + 5 ) ^{2}}{81} = 1

(h, k) = (- 5, 3), a = 9, b = 64

Solution steps

(\frac{y - 3}{64})^{2} + \frac{( x + 5 ) ^{2}}{81} = 1

Rewrite

(\frac{y - 3}{64})^{2} + \frac{( x + 5 ) ^{2}}{81} = 1

in the form of the standard ellipse equation

\frac{( x - ( - 5 ) ) ^{2}}{9 ^{2}} + \frac{( y - 3 ) ^{2}}{6 4 ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (- 5, 3), a = 9, b = 64

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

Ellipse with center (h, k) = (- 5, 3), b = 64, a = 9

4 x^{2} + 9 y^{2} + 8 x + 18 y - 23 = 0

4 x^{2} + 9 y^{2} - 48 x + 72 y - 144 = 0

\frac{x ^{2}}{1 0 ^{2}} + \frac{y ^{2}}{5 ^{2}} = 1

5 x^{2} + 20 x + 7 y^{2} + 14 y = 8

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

What is ((y-3)/(64))^2+((x+5)^2)/(81)=1 ?
The solution to ((y-3)/(64))^2+((x+5)^2)/(81)=1 is Ellipse with (h,k)=(-5,3),a=9,b=64