document.write( "Question 1011570: Segment JK is exactly 15 units long. Point J is located at (10,-8). Point K is located in quadrant 2 and is one unit above the x-axis. What are the coordinates of point K? (May someone help me please and thank you)\r
\n" ); document.write( "\n" ); document.write( "* this is what I did before I confused myself:
\n" ); document.write( "After you add them together you have to find the square root, the square is the distance.(d stands for distance) I couldn't get the square root symbol I'm sorry.
\n" ); document.write( "\"d=%28x2-x1%29%B2%2B%28y2-y1%29%B2\"
\n" ); document.write( "d=15. 15=(x2-10)²+(y2-(-8))²
\n" ); document.write( "15=(x2-10)²+(9)²
\n" ); document.write( "15=(x2-10)²+(9)²
\n" ); document.write( "15=(x2-10)²+81
\n" ); document.write( "

Algebra.Com's Answer #627267 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
You have the given point J( 10, -8 ). The signs ( +, - )
\n" ); document.write( "tell you it is in the 4th quadrant.
\n" ); document.write( "The other point K looks like ( x, 1 )
\n" ); document.write( "------------------------------
\n" ); document.write( "If you used J as a center and made part of a circle with
\n" ); document.write( "radius = 15 in the 2nd quadrant, it crosses the line
\n" ); document.write( "\"+y+=+1+\" and that is point K
\n" ); document.write( "----------------------------
\n" ); document.write( "\"+15%5E2+=+%28+10+-+x%5B1%5D+%29%5E2+%2B+%28+-8+-+1+%29%5E2+\"
\n" ); document.write( "\"+225+=+100+-+20x%5B1%5D+%2B+x%5B1%5D%5E2++%2B+81+\"
\n" ); document.write( "\"+x%5B1%5D%5E2+-+20x%5B1%5D+%2B+181+-+225+=+0+\"
\n" ); document.write( "\"+x%5B1%5D%5E2+-+20x%5B1%5D+-+44+=+0+\"
\n" ); document.write( "I notice that \"+44+=+2%2A22+\" so I can guess:
\n" ); document.write( "\"+%28+x%5B1%5D+-+22+%29%2A%28+x%5B1%5D+%2B+2+%29+=+0+\"
\n" ); document.write( "\"+x%5B1%5D+=+22+\" doesn't work -it's in the 1st quadrant
\n" ); document.write( "\"+x%5B1%5D+=+-2+\" gives me signs ( -, + ), which is 2nd quadrant
\n" ); document.write( "so that works
\n" ); document.write( "Point K is ( -2, 1 )
\n" ); document.write( "------------------
\n" ); document.write( "check answer:
\n" ); document.write( "\"+15%5E2+=+%28+10+-+x%5B1%5D+%29%5E2+%2B+%28+-8+-+1+%29%5E2+\"
\n" ); document.write( "\"+15%5E2+=+%28+10+-+%28-2%29+%29%5E2+%2B+%28+-8+-+1+%29%5E2+\"
\n" ); document.write( "\"+15%5E2+=+12%5E2+%2B+%28-9%29%5E2+\"
\n" ); document.write( "\"+225+=+144+%2B+81+\"
\n" ); document.write( "\"+225+=+225+\"
\n" ); document.write( "OK
\n" ); document.write( "
\n" );