document.write( "Question 235884: Two ships leave port at the same time. One sails south at 15 mi/h and the other sails east at 20 mi/h. Find a function that models the distance D between the ships in terms of the time t (in hours) elapsed since their departure. \n" ); document.write( "
Algebra.Com's Answer #173726 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
The distance for 1st ship is
\n" ); document.write( "\"d%5B1%5D+=+15t\"
\n" ); document.write( "The distance for 2nd ship is
\n" ); document.write( "\"d%5B2%5D+=+20t\"
\n" ); document.write( "The distance between them is
\n" ); document.write( "\"D+=+sqrt%28d%5B1%5D%5E2+%2B+d%5B2%5D%5E2%29\"
\n" ); document.write( "\"D+=+sqrt%28225t%5E2+%2B+400t%5E2%29\"
\n" ); document.write( "\"D+=+sqrt%28225+%2B+400%29%2At\"
\n" ); document.write( "\"D+=+25t\"
\n" ); document.write( "check:
\n" ); document.write( "In 10 hours
\n" ); document.write( "\"t+=+10\"
\n" ); document.write( "\"D+=+25%2A10\"
\n" ); document.write( "\"D+=+250\"
\n" ); document.write( "\"d%5B1%5D+=+15%2A10\"
\n" ); document.write( "\"d%5B1%5D+=+150\"
\n" ); document.write( "\"d%5B2%5D+=+20%2A10\"
\n" ); document.write( "\"d%5B2%5D+=+200\"
\n" ); document.write( "\"D+=+sqrt%28d%5B1%5D%5E2+%2B+d%5B2%5D%5E2%29\"
\n" ); document.write( "\"D+=+sqrt%28150%5E2+%2B+200%5E2%29\"
\n" ); document.write( "\"D+=+sqrt%2822500+%2B+40000%29\"
\n" ); document.write( "\"D+=+sqrt%2862500%29\"
\n" ); document.write( "\"D+=+250\"
\n" ); document.write( "OK\r
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );