de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Geometry >

4x^2+7y^2<= 2

Lösung

4 x^{2} + 7 y^{2} \leq 2

Lösung

(h, k) = (0, 0), a = \frac{1}{2}, b = \frac{2}{7}

Schritte zur Lösung

4 x^{2} + 7 y^{2} \leq 2

Rewrite

4 x^{2} + 7 y^{2} \leq 2

in the form of the standard ellipse equation

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

Therefore ellipse properties are:

(h, k) = (0, 0), a = \frac{1}{2}, b = \frac{2}{7}

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

Ellipse with center (h, k) = (0, 0), a = \frac{1}{2}, b = \frac{2}{7}

Graph

Beliebte Beispiele

(x-1)^2+(y^2)/4 =1

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

(x^2-4)/(6^2)+(y^2+4)/(2^2)=1

\frac{x ^{2} - 4}{6 ^{2}} + \frac{y ^{2} + 4}{2 ^{2}} = 1

(((x-2)^2))/4+(((y-4)^2))/(16)=1

\frac{( ( x - 2 ) ^{2} )}{4} + \frac{( ( y - 4 ) ^{2} )}{16} = 1

((x-2)^2)/4+((y+3)^2)/9 =1

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

(x^2)/4+(y^2)/9 =2

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