document.write( "Question 1139586: find y if the distance between points p and R is 25 and point R is located in the first quadrant.\r
\n" ); document.write( "\n" ); document.write( "P=(3,-8)
\n" ); document.write( "R=(10,y) \n" ); document.write( "

Algebra.Com's Answer #760072 by MathLover1(20849) $\"\"$ $\"About$

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\n" ); document.write( "use distance formula:\r
\n" ); document.write( "\n" ); document.write( " $\"d=sqrt%28%28x-x%5B1%5D%29%5E2%2B%28y-y%5B1%5D%29%5E2%29\"$ \r
\n" ); document.write( "\n" ); document.write( "given:
\n" ); document.write( " $\"P\"$ =( $\"3\"$ , $\"-8\"$ )=( $\"x%5B1%5D\"$ , $\"y%5B1%5D\"$ )
\n" ); document.write( " $\"R\"$ =( $\"10\"$ , $\"y\"$ ) =( $\"x\"$ , $\"y\"$ )
\n" ); document.write( " the distance between points $\"P\"$ and $\"R\"$ is $\"d=25\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"25=sqrt%28%2810-3%29%5E2%2B%28y-%28-8%29%29%5E2%29\"$
\n" ); document.write( " $\"25=sqrt%28%287%29%5E2%2B%28y%2B8%29%5E2%29\"$
\n" ); document.write( " $\"25=sqrt%2849%2B%28y%2B8%29%5E2%29\"$ .......square both sides
\n" ); document.write( " $\"25%5E2=49%2B%28y%2B8%29%5E2\"$ ......solve for $\"y\"$
\n" ); document.write( " $\"625-49=%28y%2B8%29%5E2\"$
\n" ); document.write( " $\"576=%28y%2B8%29%5E2\"$
\n" ); document.write( " $\"sqrt%28576%29=y%2B8\"$
\n" ); document.write( " $\"24-8=y\"$
\n" ); document.write( " $\"y=16\"$ \r
\n" ); document.write( "\n" ); document.write( "=> answer: $\"R\"$ =( $\"10\"$ , $\"16\"$ ) which is located in the first quadrant\r
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