document.write( "Question 1113035: find x such that the line segment determined by x,-2 and -2,-14 is 13 units long \n" ); document.write( "

Algebra.Com's Answer #728088 by KMST(5328) $\"\"$ $\"About$

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The distance between points $\"A%28x%2C-2%29\"$ and $\"B%28-2%2C-14%29\"$ is
\n" ); document.write( " $\"d=sqrt%28%28x%5BA%5D-x%5BB%5D%29%5E2%2B%28y%5BA%5D-y%5BB%5D%29%5E2%29\"$ $\"%22=%22\"$ $\"sqrt%28%28x-%28-2%29%29%5E2%2B%28%28-2%29-%28-14%29%29%5E2%29\"$ $\"%22=%22\"$ $\"sqrt%28%28x%2B2%29%5E2%2B%28-2%2B14%29%5E2%29=sqrt%28%28x%5E2%2B4x%2B4%29%2B12%5E2%29\"$ $\"%22=%22\"$ $\"sqrt%28%28x%2B2%29%5E2%2B144%29\"$
\n" ); document.write( "You want to find the values for $\"x\"$ that make that distance $\"13\"$ ,
\n" ); document.write( "so you want to solve
\n" ); document.write( " $\"sqrt%28%28x%2B2%29%5E2%2B144%29=13\"$ or $\"%28x%2B2%29%5E2%2B144=13%5E2\"$ or $\"%28x%2B2%29%5E2%2B144=169\"$ .
\n" ); document.write( "
\n" ); document.write( " $\"%28x%2B2%29%5E2%2B144=169\"$
\n" ); document.write( " $\"%28x%2B2%29%5E2=169-144\"$
\n" ); document.write( " $\"%28x%2B2%29%5E2=25\"$
\n" ); document.write( " $\"x%2B2=%22+%22+%2B-+5\"$
\n" ); document.write( "The solution is
\n" ); document.write( " $\"system%28x=-2-5%2C%22or%22%2Cx=-2%2B5%29\"$ or $\"highlight%28system%28x=-7%2C%22or%22%2Cx=3%29%29\"$ .
\n" ); document.write( "There are two solutions because point $\"B%28-2%2C-14%29\"$
\n" ); document.write( "is less than 13 units away from the line $\"y=-2\"$ :
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