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10 June, 05:56

The line with equation 4b + a = 0 coincides with the terminal side of an angle x in standard position in Quadrant IV.

What is sin x?

/[ - / frac{1}{4} / ]

/[ / frac{/sqrt{17}}{17} / ]

/[ / sqrt{17} / ]

/[/frac{/sqrt[4]{17}}{17} / ]

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Answers (2)
  1. 10 June, 06:10
    0
    Hello there.

    The line with equation 4b + a = 0 coincides with the terminal side of an angle x in standard position in Quadrant IV.

    What is sin x?

    /[ / sqrt{17} / ]
  2. 10 June, 06:40
    0
    The equation of the line is

    4b + a = 0

    The slope of the line is

    m = - 1/4

    With a rise of 1 and run of - 4 which corresponds to a hypotenuse of

    √ (4² + (-1) ²) = √17

    Therefore, the sine of the angle is

    sin θ = 1/√17
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