Academics – Mathematics : 2022/DEC/02
Question
Q2. The square of the time of a planet's revolution in its orbit around the sun varies directly as the cube of its distance from the SUN.
Given that the Earth is 149.6 million km from the SUN and the Earth revolves around the SUN in 365.25 days, determine the time of revolution of Venus, 108.2 million km distant from the SUN, in its orbit around the SUN. (8)
(b) Express the following in its simplest form: (8)
(8x2 - 2y2)/(2x + 6y) × (x2 + 6xy + 9y2)/(2x2 + 5xy - 3y2)
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