SOLUTION: The birds shown on the graph below are flying toward one another at the same speed and same altitude on a straight line course.The birds start from points A(-4 4) and B(10 -2). How

Algebra ->  Coordinate-system -> SOLUTION: The birds shown on the graph below are flying toward one another at the same speed and same altitude on a straight line course.The birds start from points A(-4 4) and B(10 -2). How      Log On


   

Question 1163223: The birds shown on the graph below are flying toward one another at the same speed and same altitude on a straight line course.The birds start from points A(-4 4) and B(10 -2). How far will each bird fly (to the nearest mile) before they collide if each grid on the graph represents 5 miles? https://drive.google.com/file/d/1-nFHdeNhm8pyfkVN1HXpfg6ckeoBaM7b/view?usp=drivesdk this is the link for the picture.
Found 2 solutions by ikleyn, greenestamps:
Answer by ikleyn(52748) About Me  (Show Source):
Answer by greenestamps(13195) About Me  (Show Source):
You can put this solution on YOUR website!


The distance between the two starting points on the graph is, by the Pythagorean Theorem,

sqrt%2814%5E2%2B6%5E2%29+=+sqrt%28196%2B36%29+=+sqrt%28232%29+=+2%2Asqrt%2858%29

Each bird flies half that distance, sqrt%2858%29.

Each unit on the graph represents 5 miles, so the number of miles each bird flies is 5%2Asqrt%2858%29.