document.write( "Question 160035: Two cars leave at the same time traveling in different directions. One goes North at 6 mph and the other goes west at 8mph. How far apart are they after 4 hrs. \n" ); document.write( "
Algebra.Com's Answer #118031 by checkley77(12844)![]() ![]() ![]() You can put this solution on YOUR website! I should have explained the method to solve this problem. \n" ); document.write( "What you have is a right triangle which you know lengths of 2 of the sides which are the distances they travel. \n" ); document.write( "These sides are: \n" ); document.write( "6mph*4hrs=24 miles. \n" ); document.write( "8mph*4hours=32 miles. \n" ); document.write( "Now we have the formula for the hypotenuse (long side opposite the right angle) using the equation a^2+b^2=c^2. \n" ); document.write( "I've substituted d for distance instead of the c value. \n" ); document.write( "That's where I got the (^2) term. \n" ); document.write( "--------------------------------------------------------------------- \n" ); document.write( "(6*4)^2+(8*4)^2=d^2 \n" ); document.write( "24^2+32*2=d^2 \n" ); document.write( "576+1024=d^2 \n" ); document.write( "1600=d^2 \n" ); document.write( "d=sqrt1600 \n" ); document.write( "d=40 miles is the distance between two cars after 4 hours \n" ); document.write( " |