Question

Using the Distance Formula

For problems 1 - 6, find the distance between each pair of points. Round to the nearest tenth when necessary
1. (0,0) and (-3,4)
2. (1,2) and (6,14)
3. (8,11) and (15, 35)
4. (3,8) and (-5,-7)
5. (-2,-3) and (-1,-4)
6. (-3,5) and (3,5)

Answer 1

Explanation:

since I did 1 already , i'll do 2 - 6 .. fast

using the formula for distance = sq rt [ (x2 - x1 ) ^2 + (y2 - y1 ) ^2 ]

2) sq rt [ (6-1)^2 + (14-2)^2

sq rt [ 25 + 144]

sq rt [ 169]

13

3) sq rt [ (15 - 8)^2 + (35-11)^2 ]

sq rt [ 49 + 576 ]

sq rt [625]

25

4) sq rt [ ( -5 -3 )^2 + (-7 - 8)^2 ]

sq rt [ 64 + 225]

sq rt [ 289]

17

5) sq rt [(-1-(-2))^2 + (-4-(-3))^2]

sq rt[ (-1+2)^2 + (-4+3)^2]

sq rt [ 1 + 1 ]

`√(2)`

6) sq rt [ 3-(-3)^2 + (5-5)^2]

sq rt [ (3+3)^2 + 0]

sq rt [ 9 ]

3

:) phew.... :P