document.write( "Question 1162056: Y=(x-5)^2
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\n" ); document.write( "In the system of equations above ,k is a constant .IF the system has two points of intersection and the distance between these two points is 10,,what is the value of k?
\n" ); document.write( "The options are 20, 25 , 30 , 35.
\n" ); document.write( "The answer is 25 . I don’t know how to solve it . Kindly help .
\n" ); document.write( "Thanks in advance . \n" ); document.write( "

Algebra.Com's Answer #785757 by ikleyn(52803) $\"\"$ $\"About$

You can put this solution on YOUR website!
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document.write( "The quadratic function  Y =  is the parabola.\r\n" );
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document.write( "It has the axis of symmetry x= 5 (vertical line).\r\n" );
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document.write( "The line Y = k is a horizontal line.\r\n" );
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document.write( "The fact that the distance between the intersection  points is 10, means that these points are remoted 5 units \r\n" );
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document.write( "in both directions from the symmetry axis x= 5.\r\n" );
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document.write( "It, in turns, means that the intersection points are at  x= 0  and  x= 10.\r\n" );
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document.write( "By substituting x= 0 into the quadratic funcrion, you get  Y =  =  = 25.\r\n" );
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document.write( "So, the answer is  k = Y = 25.\r\n" );
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document.write( "You will get the same answer, if you substitute  x= 10  instead of  x= 0 into the quadratic function.\r\n" );
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\n" ); document.write( "\n" ); document.write( "Solved and explained.\r
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