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Two cruise ships left the same port. After two hours, Ship A is 30 miles west and 18 miles north of the port and Ship B is 10 miles west and 27 miles south of the port. If there is a tug boat located one-fifth of the way from Ship A to Ship B, find the location of the tug boat relative to the port.

 Sep 3, 2020
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Draw a cartesian coordinate system of the given points

A  -30, 18    and  B   -10,-27       find 1/5th of the way from A to B

 

x  from -30 to -10 is a change of 20    1/5 *20 added to -30 = -26

y  from 18 to -27 is a change of -45    1/5 * -45 added to 18 =  9   

         

-26, 9    is 26 miles west of port and 9 miles north of port

 Sep 3, 2020

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