SOLUTION: Find the distance between each pair of points. Round to the nearest tenth. D(-1,-2), E(-3,-4). Thank you.

Algebra ->  Points-lines-and-rays -> SOLUTION: Find the distance between each pair of points. Round to the nearest tenth. D(-1,-2), E(-3,-4). Thank you.      Log On


   

Question 117746: Find the distance between each pair of points. Round to the nearest tenth.
D(-1,-2), E(-3,-4). Thank you.
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
D(-1,-2), E(-3,-4)
The distance (denoted by d) between two points in two dimensions is given by the following formula:
d+=+sqrt%28%28x%5B1%5D-x%5B2%5D%29%5E2+%2B+%28+y%5B1%5D-y%5B2%5D%29%29%5E2%29


Thus in our case, the required distance is

d+=+sqrt%28%28-1-%28-3%29%29%5E2+%2B+%28-2-%28-4%29%29%29%5E2%29
d+=+sqrt%28%28-1%2B3%29%5E2+%2B+%28-2%2B4%29%29%5E2%29
d+=+sqrt%282%5E2+%2B+2%5E2%29
d+=+sqrt%288%29
d+=+2.2828427125