document.write( "Question 44973: find the possible values of a if the points with the given coordinates are the indicated distance apart.\r
\n" ); document.write( "\n" ); document.write( "(4,7),(a,3); d=5\r
\n" ); document.write( "\n" ); document.write( "(5,a), (6,1); d= square root of 10\r
\n" ); document.write( "\n" ); document.write( "(6,-3),(-3,a); d= square root of 130
\n" ); document.write( "

Algebra.Com's Answer #29806 by Nate(3500)\"\" \"About 
You can put this solution on YOUR website!
Use Distance Formula: \"d+=+sqrt%28%28x2+-+x1%29%5E2+%2B+%28y2+-+y1%29%5E2%29\"
\n" ); document.write( "(4,7),(a,3); d = 5
\n" ); document.write( "\"d+=+sqrt%28%28x2+-+x1%29%5E2+%2B+%28y2+-+y1%29%5E2%29\"
\n" ); document.write( "\"5+=+sqrt%28%284+-+a%29%5E2+%2B+%287+-+3%29%5E2%29\"
\n" ); document.write( "\"25+=+%284+-+a%29%5E2+%2B+16\"
\n" ); document.write( "\"9+=+%284+-+a%29%5E2\"
\n" ); document.write( "\"3+=+4+-+a\" or \"-3+=+4+-+a\"
\n" ); document.write( "\"-1+=+-a\" or \"-7+=+-a\"
\n" ); document.write( "\"-1+=+-a\" or \"-7+=+-a\"
\n" ); document.write( "\"1+=+a\" or \"7+=+a\"
\n" ); document.write( "(1,3) or (7,3)
\n" ); document.write( "(5,a), (6,1); d = square root of 10
\n" ); document.write( "\"d+=+sqrt%28%28x2+-+x1%29%5E2+%2B+%28y2+-+y1%29%5E2%29\"
\n" ); document.write( "\"sqrt%2810%29+=+sqrt%28%286+-+5%29%5E2+%2B+%281+-+a%29%5E2%29\"
\n" ); document.write( "\"9+=+%281+-+a%29%5E2\"
\n" ); document.write( "\"3+=+1+-+a\" and \"-3+=+1+-+a\"
\n" ); document.write( "\"2+=+-a\" and \"-4+=+-a\"
\n" ); document.write( "\"-2+=+a\" and \"4+=+a\"
\n" ); document.write( "(6,-3),(-3,a); d = square root of 130
\n" ); document.write( "\"d+=+sqrt%28%28x2+-+x1%29%5E2+%2B+%28y2+-+y1%29%5E2%29\"
\n" ); document.write( "\"sqrt%28130%29+=+sqrt%28%28-3+-+6%29%5E2+%2B+%28a+%2B+3%29%5E2%29\"
\n" ); document.write( "\"49+=+%28a+%2B+3%29%5E2\"
\n" ); document.write( "\"7+=+a+%2B+3\" and \"-7+=+a+%2B+3\"
\n" ); document.write( "\"4+=+a\" and \"-10+=+a\"
\n" ); document.write( "\"+graph%28+600%2C+600%2C+-10%2C+10%2C+-10%2C+10%2C+a%29+\"
\n" ); document.write( "
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