document.write( "Question 650185: Find the intercepts of the circle (x+1)2 + (y-4)2=9 \n" ); document.write( "

Algebra.Com's Answer #407225 by MathLover1(20849) $\"\"$ $\"About$

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$\"%28x+-+h%29%5E+2+%2B+%28y+-+k%29%5E+2+=+r+%5E2\"$ \r
\n" ); document.write( "\n" ); document.write( "you have $\"%28x%2B1%29%5E2+%2B+%28y-4%29%5E2=9\"$ \r
\n" ); document.write( "\n" ); document.write( "so, $\"h=-1\"$ , $\"k=4\"$ , and $\"r%5E2=9\"$ ...-> $\"r=3\"$ \r
\n" ); document.write( "\n" ); document.write( "center at $\"C%28h+%2C+k%29+=+C%28-1+%2C+4%29+\"$ and radius $\"r+=+3\"$ \r
\n" ); document.write( "\n" ); document.write( "To find the $\"x-intercepts\"$ , set $\"y+=+0\"$ in the above equation and solve
\n" ); document.write( "for $\"x\"$ . \r
\n" ); document.write( "\n" ); document.write( " $\"%28x%2B1%29%5E2+%2B+%280-4%29%5E2=9\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"%28x%2B1%29%5E2+%2B+%28-4%29%5E2=9\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"%28x%2B1%29%5E2+%2B16=9\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"%28x%2B1%29%5E2+=9-16\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"%28x%2B1%29%5E2+=-7\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"sqrt%28%28x%2B1%29%5E2+%29=sqrt%28-7%29\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"x%2B1+=sqrt%28-7%29\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"x+=sqrt%28-7%29-1\"$ \r
\n" ); document.write( "\n" ); document.write( "as you can see, there is $\"none\"$ of $\"x-+intercepts+\"$ because there is no real solution\r
\n" ); document.write( "\n" ); document.write( "To find the $\"y-+intercepts\"$ , set $\"x+=+0\"$ in the above equation and solve
\n" ); document.write( "for $\"y\"$ . \r
\n" ); document.write( "\n" ); document.write( " $\"%280%2B1%29%5E2+%2B+%28y-4%29%5E2=9\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"%281%29%5E2+%2B+%28y-4%29%5E2=9\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"1+%2B+%28y-4%29%5E2=9\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"%28y-4%29%5E2=9-1\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"%28y-4%29%5E2=8\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"sqrt%28%28y-4%29%5E2%29=sqrt%288%29\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"y-4=sqrt%288%29\"$ ......... $\"sqrt%288%29=2.8\"$ and $\"sqrt%288%29=-2.8\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"y=2.8%2B4\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"y=6.8\"$ \r
\n" ); document.write( "\n" ); document.write( "and
\n" ); document.write( " $\"y=-2.8%2B4\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"y=1.2\"$ \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " $\"y-+intercepts+\"$ are $\"6.8\"$ and $\"1.2\"$ \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " $\"drawing%28300%2C300%2C-5%2C10%2C-5%2C10%2Cgrid%281%29%2Ccircle%28-1%2C4%2C3%29%29\"$ \r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

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