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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 ).
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What does c equal if c squared plus c squared plus 8 equals 8c?
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
What will be eccentricity of hyperbola if xy equals 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} ).
The hypotenuse of a right triangle with legs of lengths 8 and 15?
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
Square root of 8-c equals c-8?
16
Given a equals 4 b equals -2 and c equals 8 evaluate 3abc?
a=-2 4b=-2 --> b=-1/2 c=8 (-2)(-1/2)(8)(3)= 24
What is the product of c 8 and c-5?
(c + 8)(c - 8)= c^2 - 64
How can we calculate the eccentricity e of a planet's orbit?
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.
What does c equal if c squared plus c squared plus 8 equals 8c?
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
Which equation should be used to find the eccentricity of the earths orbit?
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.
What does 8 is 2 C mean?
8 = 2 cubed
What is the eccentricity of an ellipse in which the distance between the foci is 2 centimeters and the length of the major axis is 5 centimeters?
The eccentricity of that ellipse is 0.4 .
The hypotenuse of a right triangle with legs of lengths 8 and 15?
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
Square root of 8-c equals c-8?
16
Given a equals 4 b equals -2 and c equals 8 evaluate 3abc?
a=-2 4b=-2 --> b=-1/2 c=8 (-2)(-1/2)(8)(3)= 24
What 2 planets have the most cicular orbits?
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
Which planet has an orbital eccentricity most like the orbital eccentricity of the moon?
Mercury has an orbital eccentricity most similar to the moon's orbital eccentricity, which is about 0.2056. Mercury's eccentricity is approximately 0.206.
8=−2/5c?
C=20
