The angle θ=π/6 is in standard position and has a terminal side that coincides with the graph of a proportional relationship represented by

Question

The angle θ=π/6 is in standard position and has a terminal side that coincides with the graph of a proportional relationship represented by y=kx.
a. Find the constant of proportionality, k.

k= ?

Question 2
b. Write an ordered pair that lies on the graph of y=kx.

(3√ 3, ? )

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Allison 3 weeks 2022-01-03T12:16:11+00:00 1 Answer 0 views 0

Answers ( )

    0
    2022-01-03T12:17:16+00:00

    Answer:

    a) k \approx \frac{\sqrt{3}}{3}, b) \left(\frac{\sqrt{3}}{3}, \frac{1}{3}  \right)

    Step-by-step explanation:

    a) The constant of proportionality is:

    k = \frac{y}{x}

    k = \tan \theta

    k = \tan \frac{\pi}{6}

    k \approx \frac{\sqrt{3}}{3}

    b) The ordered pair is:

    \left(\frac{\sqrt{3}}{3},\frac{\sqrt{3}}{3}\cdot \frac{\sqrt{3}}{3} \right)

    \left(\frac{\sqrt{3}}{3}, \frac{1}{3}  \right)

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45:7+7-4:2-5:5*4+35:2 =? ( )