What is 5y^2+z^2=36 ?

The solution to 5y^2+z^2=36 is Ellipse with (h,k)=(0,0),a= 6/(sqrt(5)),b=6

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

5y^2+z^2=36

5 y^{2} + z^{2} = 36

(h, k) = (0, 0), a = \frac{6}{5}, b = 6

Solution steps

5 y^{2} + z^{2} = 36

Rewrite

5 y^{2} + z^{2} = 36

in the form of the standard ellipse equation

\frac{( y - 0 ) ^{2}}{( \frac{6}{5} ) ^{2}} + \frac{( z - 0 ) ^{2}}{6 ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (0, 0), a = \frac{6}{5}, b = 6

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

Ellipse with center (h, k) = (0, 0), b = 6, a = \frac{6}{5}

2 x^{(2)} + y^{(2)} = 1

16 - x^{2} - 9 y^{2} = - 1

y^{2} = 100 - 4 x^{2}

4 x^{2} + y^{2} + 4 x + 8 y + 12 = 0

\frac{( x - 3 ) ^{2}}{18} + \frac{( y + 4 ) ^{2}}{32} = 1

What is 5y^2+z^2=36 ?
The solution to 5y^2+z^2=36 is Ellipse with (h,k)=(0,0),a= 6/(sqrt(5)),b=6