document.write( "Question 1175755: A tracking device that is installed in a mobile phone indicates that its user is located at a point whose coordinates are (18,14). In the tracking device, each unit on the grid is equivalent to 7km. If the phone user came from a place whose coordinates are (2,6), how far has he travelled? \n" ); document.write( "
Algebra.Com's Answer #801441 by ikleyn(52781)\"\" \"About 
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\n" ); document.write( "A tracking device that is installed in a mobile phone indicates that its user is located at a point
\n" ); document.write( "whose coordinates are (18,14). In the tracking device, each unit on the grid is equivalent to 7km.
\n" ); document.write( "If the phone user came from a place whose coordinates are (2,6), how far has he travelled?
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document.write( "On the tracking device, the displacement vector is (16,8)  \r\n" );
document.write( "(16 = 18-2 units in x-coordinate and 8 = 14-6 units in y-coordinate).\r\n" );
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document.write( "So, the traveled distance in this scale is  \"sqrt%2816%5E2%2B8%5E2%29\" = \"8%2Asqrt%285%29\" = 17.889 units.\r\n" );
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document.write( "With the scale factor 7 kilometers to one unit, the real distance is  7*17.889 = 125.22 kilometers.    ANSWER\r\n" );
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