document.write( "Question 204225: respected sir,\r
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document.write( "plz help me to solve this math prob.\r
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document.write( "If the numbers x and y are added to set K {5, 1, 6, 4}, the mean will
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document.write( "increase by 50%. What is the value of xsquare + 2xy+ysquare? ?\r
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document.write( "waiting for yur reply.\r
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document.write( "thanks u. \n" );
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Algebra.Com's Answer #154190 by nerdybill(7384)![]() ![]() You can put this solution on YOUR website! If the numbers x and y are added to set K {5, 1, 6, 4}, the mean will \n" ); document.write( "increase by 50%. What is the value of xsquare + 2xy+ysquare? ? \n" ); document.write( ". \n" ); document.write( "Calculate \"mean\" in original set {5, 1, 6, 4}: \n" ); document.write( "(5+1+6+4)/4 \n" ); document.write( "= 16/4 \n" ); document.write( "= 4 \n" ); document.write( ". \n" ); document.write( "From: \"the mean will increase by 50%\" we get: \n" ); document.write( "(x+y+5+1+6+4)/6 = 4 + .50(4) \n" ); document.write( "(x+y+5+1+6+4)/6 = 4 + 2 \n" ); document.write( "(x+y+5+1+6+4)/6 = 6 \n" ); document.write( "(x+y+16)/6 = 6 \n" ); document.write( "(x+y+16) = 36 \n" ); document.write( "x+y = 20 \n" ); document.write( ". \n" ); document.write( "If we simply \"square\" both sides we get: \n" ); document.write( "(x+y)^2 = 20^2 \n" ); document.write( "(x+y)(x+y) = 20^2 \n" ); document.write( "Applying FOIL: \n" ); document.write( "x^2 + xy + xy + y^2 = 400 \n" ); document.write( "x^2 + 2xy + y^2 = 400 \n" ); document.write( ". \n" ); document.write( "Solution: 400\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |