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Juliet and Mercutio are moving at constant speeds in the xy -plane. They start moving at the same time. Juliet starts at the point(0,6) and

Juliet and Mercutio are moving at constant speeds in thexy-plane. They start moving at the same time. Juliet starts at the point(0,6)

and heads in a straight line toward the point(10,5),

reaching it in10 seconds.Mercutio starts at(8,14)

and moves in a straight line. Mercutio passes through the same point on thex-axisas Juliet, but2 secondsafter she does.

How long does it take Mercutio to reach they-axis in seconds? (Round your answer to three decimal places.)

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