document.write( "Question 42777: Good Evening, I need help with understanding my math homework...\r
\n" ); document.write( "\n" ); document.write( "#1 Give the center of the circle with the equation x^2+2x+y^2-10y+22=0\r
\n" ); document.write( "\n" ); document.write( "#2 Find the equation for the line with slope 1.2 and the y-intercept 3.\r
\n" ); document.write( "\n" ); document.write( "#3 Find the slope of the line through the points A(-1,6) and B(5,2)\r
\n" ); document.write( "\n" ); document.write( "#4 Find the point on the positive y-axis that is a distance 5 from the point P(3,4)\r
\n" ); document.write( "\n" ); document.write( "Help me understand, please
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Algebra.Com's Answer #27856 by Nate(3500)\"\" \"About 
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#1 Give the center of the circle with the equation x^2+2x+y^2-10y+22=0
\n" ); document.write( "\"x%5E2+%2B+2x+%2B+y%5E2+-+10y+%2B+22+=+0\"
\n" ); document.write( "\"%28x%5E2+%2B+2x%29+%2B+%28y%5E2+-+10y%29+=+-22\"
\n" ); document.write( "\"%28x+%2B+1%29%5E2+%2B+%28y+-+5%29%5E2+=+-22+%2B+25+%2B+1\"
\n" ); document.write( "\"%28x+%2B+1%29%5E2+%2B+%28y+-+5%29%5E2+=+4\"
\n" ); document.write( "Center: (-1,5)
\n" ); document.write( "#2 Find the equation for the line with slope 1.2 and the y-intercept 3.
\n" ); document.write( "\"y+=+mx+%2B+b\"
\n" ); document.write( "\"y+=+1.2x+%2B+3\"
\n" ); document.write( "#3 Find the slope of the line through the points A(-1,6) and B(5,2)
\n" ); document.write( "M = (y2 - y1)/(x2 - x1) = (6 - 2)/(-1 - 5) = 4/-6 = -2/3
\n" ); document.write( "#4 Find the point on the positive y-axis that is a distance 5 from the point P(3,4)
\n" ); document.write( "\"d+=+sqrt%28%28x+-+x%29%5E2+%2B+%28y+-+y%29%5E2%29\"
\n" ); document.write( "\"5+=+sqrt%28%283+-+0%29%5E2+%2B+%284+-+y%29%5E2%29\"
\n" ); document.write( "\"5+=+sqrt%289+%2B+%284+-+y%29%5E2%29\"
\n" ); document.write( "\"5+=+sqrt%289+%2B+y%5E2+-+8y+%2B+16%29\"
\n" ); document.write( "\"5+=+sqrt%28y%5E2+-+8y+%2B+25%29\"
\n" ); document.write( "\"25+=+y%5E2+-+6y+%2B+25\"
\n" ); document.write( "\"0+=+y%5E2+-+8y\"
\n" ); document.write( "\"0+=+y%28y+-+8%29\"
\n" ); document.write( "\"y+=+0\" or \"y+=+8\"
\n" ); document.write( "(0,0) and (0,8)
\n" ); document.write( "
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