document.write( "Question 902044: Determine all values of c so that the lines cy+4x=9 and cy-5x=10 are perpendicular. \n" ); document.write( "
Algebra.Com's Answer #547056 by josgarithmetic(39620)\"\" \"About 
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Using knowledge of standard form equation for a line, ax+by=k will have slope \"-a%2Fb\".\r
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\n" ); document.write( "\n" ); document.write( "cy+4x=9 has slope \"-4%2Fc\".\r
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\n" ); document.write( "\n" ); document.write( "cy-5x=10 has slope \"5%2Fc\".\r
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\n" ); document.write( "\n" ); document.write( "The two lines given to be perpendicular requires that the product of the slopes equals negative one, \"highlight_green%28-%284%2Fc%29%2A%285%2Fc%29=-1%29\". Solve for c.\r
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\n" ); document.write( "\n" ); document.write( "\"-20%2Fc%5E2=-1\"
\n" ); document.write( "\"20%2Fc%5E2=1\"
\n" ); document.write( "\"20=c%5E2\"
\n" ); document.write( "\"c=0%2B-sqrt%284%2A5%29\"
\n" ); document.write( "\"highlight%28c=0%2B-+2%2Asqrt%285%29%29\".
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