document.write( "Question 1062502: Name the single translation that can replace the composition of these three translations: (x,y)→(x+2,y+3), then (x,y)→(x-5,y+7), then (x,y)→(x+13,y). \n" ); document.write( "
Algebra.Com's Answer #677435 by Edwin McCravy(20055)\"\" \"About 
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document.write( "(x,y)→(x+2,y+3),\r\n" );
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document.write( "That adds +2 to the first coordinate, and adds +3\r\n" );
document.write( "to the second coordinate\r\n" );
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document.write( " then (x,y)→(x-5,y+7),\r\n" );
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document.write( "That adds -5 to the first coordinate, and adds +7\r\n" );
document.write( "to the second coordinate\r\n" );
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document.write( " then (x,y)→(x+13,y).\r\n" );
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document.write( "That adds 13 to the first coordinate, and adds 0\r\n" );
document.write( "to the second coordinate.\r\n" );
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document.write( "So altogether we have added +2-5+13 = 10 to the first coordinate, \r\n" );
document.write( "and added +3+7+0 = +10 to the second coordinate\r\n" );
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document.write( "So the single translation is (x,y)→(x+10,y+10)\r\n" );
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document.write( "Edwin
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