Algebra.Com's Answer #706450 by ikleyn(52800)![\"\"](\"/images/stars/stars-13.gif\")  
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document.write( "A fountain in a shopping mall has two parabolic arcs of water intersecting in one point.
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document.write( "The equation of one parabola is y= -0.25x^2+2x and the equation of the second parabola is y= -0.25x^2+4.5x.
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document.write( "How high above the base of the fountain do the parabolas intersect?
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document.write( " y =  (1)\r\n" );
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document.write( " y =  (2)\r\n" );
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document.write( "Since the left sides in (1) and (2) are equal at some x, we can equate the right sides to find x:\r\n" );
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document.write( " = .\r\n" );
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document.write( "Simplify. Cancel the terms  in both sides. You will get\r\n" );
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document.write( "2x = 4.5x ====> 4.5x - 2x = 0 ====> (4.5-2)*x = 0 ====> x = 0.\r\n" );
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document.write( "So, the only solution is x = 0.\r\n" );
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document.write( "Then y = 0.\r\n" );
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document.write( "Answer. The only intersection point is (x,y) = (0,0).\r\n" );
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document.write( "If this solution seems to be incorrect to you, double check and revise you condition.\r
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