SOLUTION: An airplane flies from city 1 at (0,0) to city 2 at (33,56) and then to city 3 at (23,32). What is the total number of miles it flies? Each unit of the coordinate grid represents 1

Algebra ->  Length-and-distance -> SOLUTION: An airplane flies from city 1 at (0,0) to city 2 at (33,56) and then to city 3 at (23,32). What is the total number of miles it flies? Each unit of the coordinate grid represents 1      Log On


   

Question 860273: An airplane flies from city 1 at (0,0) to city 2 at (33,56) and then to city 3 at (23,32). What is the total number of miles it flies? Each unit of the coordinate grid represents 1 mile. Please please please help me. If you do I thank you so so so much. :) :( ??????????????
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Use the length formula for each part of th trip
City 1 to City 2:
+d%5B1%5D+=+sqrt%28+%28+33+-+0+%29%5E2+%2B+%28+56+-+0+%29%5E2+%29+
+d%5B1%5D+=+sqrt%28+33%5E2+%2B+56%5E2+%29+
+d%5B1%5D+=+sqrt%28+1089+%2B+3136+%29+
+d%5B1%5D+=+sqrt%28+4225+%29+
++d%5B1%5D+=+65+
---------------------
City 2 to City 3
+d%5B2%5D+=+sqrt%28+%28+33+-+23+%29%5E2+%2B+%28+56+-+32+%29%5E2+%29+
+d%5B2%5D+=+sqrt%28+10%5E2+%2B+24%5E2+%29+
+d%5B2%5D+=+sqrt%28+100+%2B+576+%29+
+d%5B2%5D+=+sqrt%28+676+%29+
+d%5B2%5D+=+26+
-----------------
+d%5B1%5D+%2B+d%5B2%5D+=+65+%2B+26+
+d%5B1%5D+%2B+d%5B2%5D+=+91+
The plane flew 91 mi