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# A skateboard retailer has two locations in a city that are identified on a map by the coordinates (12,20) and (6,12). ?

a) How far apart are the two stores?

b) If the owner opens a new store halfway between the two locations, where are the coordinates of the new store

### 2 Answers

- Bill-MLv 71 month agoFavorite Answer
These are the steps to find the distance between two sets of coordinates.

1. Take the absolute difference between the two X points 12 and 6 which is 6.

2. Square 6 = 36

3. Take the absolute difference between the two Y points 20 and 12 which is 8.

4. Square 8 = 64

5. ADD 36 + 64 = 100

6. Take the Square Root of 100 = 10

The distance between the two point is 10.

To find the mid point follow these steps:

1. Add the two X points and divide by 2. 12+6 = 18 18/2 = 9

2. Add the two Y points and divide by 2. 20+12 = 32 32/2 = 16

The mid point is (9,16)

- CarolOklaLv 71 month ago
You have not stated what the scale of the map is. Without that data, how far apart the 2 stars are cannot be calculated because of insufficient information. The coordinates half way between would bye (6,8). 12 - 6 = 6, 20 - 12 = 8.

Source(s): B.S. physical geography, B.S. and M.S. in geology