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30 March, 19:44

Match the y-coordinates with their corresponding pairs of x-coordinates on the unit circle. the x coordinates to choose from are: - 2 times the square root of 10/11 - 4 times the square root of 6/11 - 1 / the square root of 11 - 6 times the square root of 2/11

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  1. 30 March, 20:11
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    Of the four x-coordinates to choose only 1/√ (11) belongs can belong to the unit circle.

    The other three x-coordinates are greater than 1, then they are out of the unit circle.

    The unit circle formula is x^2 + y^2 = 1

    Then to find the y-coordinate given the x-coordinate you can solve for y from that formula:

    y^2 = 1 - x^2

    y = (+/-) √ (1-x^2)

    Substitute the value of x

    y = (+/-) √{1 - [1/√ (11) ]^2} = (+/-) √{ (1 - 1/11} = (+/-) √ { (11 - 1) / 11 = (+/-) √ (10/11) ≈ + / - 0.95
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