To determine the eccentricity of a conic section, we typically use the formula ( e = \frac{c}{a} ), where ( c ) is the distance from the center to the focus and ( a ) is the distance from the center to a vertex. If ( c = 2 ) and ( a = 8 ), then the eccentricity ( e ) is calculated as ( e = \frac{2}{8} = \frac{1}{4} ). Thus, the eccentricity is ( 0.25 ).
2. c2 + c2 + 8 = 8c 2c2 - 8c + 8 = 0 c2 - 4c + 4 = 0 (c - 2)(c - 2) = 0 (c - 2)2 = 0 c - 2 = 0 c = 2
The equation ( xy = 2 ) represents a rectangular hyperbola. The standard form of a hyperbola can be expressed as ( \frac{x^2}{a^2} - \frac{y^2}{b^2} = 1 ) or its variants, where the eccentricity ( e ) is given by ( e = \sqrt{1 + \frac{b^2}{a^2}} ). For a rectangular hyperbola, ( a = b ), leading to an eccentricity of ( e = \sqrt{2} ). Thus, the eccentricity of the hyperbola defined by ( xy = 2 ) is ( \sqrt{2} ).
Let c be the hypotenuse and use the Pythagorean theorem. 8^2 + 15^2 = c^2 64 + 225 = c^2 289 = c^2 17 = c
16
a=-2 4b=-2 --> b=-1/2 c=8 (-2)(-1/2)(8)(3)= 24
(c + 8)(c - 8)= c^2 - 64
The eccentricity of a planet's orbit can be calculated using the formula e c/a, where c is the distance between the center of the orbit and the focus, and a is the length of the semi-major axis of the orbit.
2. c2 + c2 + 8 = 8c 2c2 - 8c + 8 = 0 c2 - 4c + 4 = 0 (c - 2)(c - 2) = 0 (c - 2)2 = 0 c - 2 = 0 c = 2
The equation ( xy = 2 ) represents a rectangular hyperbola. The standard form of a hyperbola can be expressed as ( \frac{x^2}{a^2} - \frac{y^2}{b^2} = 1 ) or its variants, where the eccentricity ( e ) is given by ( e = \sqrt{1 + \frac{b^2}{a^2}} ). For a rectangular hyperbola, ( a = b ), leading to an eccentricity of ( e = \sqrt{2} ). Thus, the eccentricity of the hyperbola defined by ( xy = 2 ) is ( \sqrt{2} ).
Eccentricity is the measure of how much the conic section diverges into its circle form. One of the formulas for eccentricity is e=c/a this formula can be used to get the eccentricity of the ellipse.
8 = 2 cubed
The eccentricity of that ellipse is 0.4 .
Let c be the hypotenuse and use the Pythagorean theorem. 8^2 + 15^2 = c^2 64 + 225 = c^2 289 = c^2 17 = c
16
a=-2 4b=-2 --> b=-1/2 c=8 (-2)(-1/2)(8)(3)= 24
Venus has an eccentricity of 0.00677323 Neptune has an eccentricity of 0.00858587 Triton, a moon of Neptune, orbit is as close to a perfect circle with an eccentricity of 0.000016 The Earth for comparison has an eccentricity of 0.01671022
C=20