document.write( "Question 869023: The pair of points is on the graph of an inverse variation. Find the missing value.\r
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document.write( "(9, 5) and (x, 6)
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Algebra.Com's Answer #523986 by Theo(13342) You can put this solution on YOUR website! your points are (9,5) and (x,6)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "inverse variation equation is:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "y = k/x\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "when x - 5 and y = 9, this equation becomes:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "5 = k/9 \n" ); document.write( "multiply both sides of this equation by 9 to get: \n" ); document.write( "k = 9*5 = 45\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "now you can use the value of k to solve for x in the second pair of (x,6)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "your equation is still y = k/x \n" ); document.write( "now you have y = 6 and k = 45. \n" ); document.write( "use those values to get:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "6 = 45 / x \n" ); document.write( "multiply both sides of this equation by x to get: \n" ); document.write( "6*x = 45 \n" ); document.write( "divide both sides of this equation by 6 to get: \n" ); document.write( "x = 45/6 which is equal to 7.5\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "your answer is that x = 7.5\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |