document.write( "Question 73995: Find the midpoint of the line segment PQ for P(2, -2), Q(3, 4) \r
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document.write( "If M (6, 1) is the midpoint of segment PQ and the coordinates of Q are (2, -2), find the coordinates of P. \r
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document.write( " 3) Verify that (-1, 3) is a solution to y = (-1/2)x + (5/2)\r
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document.write( " 4)Solve the inequality and write the solution set in interval notation: \r
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document.write( "5(2+X)>-4(X+3)\r
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Algebra.Com's Answer #53005 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! Find the midpoint of the line segment PQ for P(2, -2), Q(3, 4) \n" ); document.write( "x-coordinate of midpoint is (2+3)/2 = 2.5 \n" ); document.write( "This is the average of the two \"x\" values. \n" ); document.write( "y-coordinate of midpoint is (-2+4)/2=1 \n" ); document.write( "This is the average of the \"y\" values. \n" ); document.write( "------------------------- \n" ); document.write( " \n" ); document.write( "If M (6, 1) is the midpoint of segment PQ and the coordinates of Q are (2, -2), find the coordinates of P. \n" ); document.write( "x=coordinate of P is x where (x+2)/2 = 6; x+2=12; x=10 \n" ); document.write( "y=coordinate of P is y where (y-2)/2=1 ; y-2=2; y=4 \n" ); document.write( "----------------------\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( "3) Verify that (-1, 3) is a solution to y = (-1/2)x + (5/2) \n" ); document.write( "3 =(-1/2)(-1)+(5/2) \n" ); document.write( "3 = 6/2 \n" ); document.write( "3 = 3 \n" ); document.write( "------------- \r \n" ); document.write( "\n" ); document.write( "4)Solve the inequality and write the solution set in interval notation: \n" ); document.write( "5(2+X)>-4(X+3) \n" ); document.write( "10+5x >= -4x-12 \n" ); document.write( "9x >= -22 \n" ); document.write( "x >= -22/9 \n" ); document.write( "Interval notation: (-22/9, inf) \n" ); document.write( "=============== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H.\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |