Amovie theater is 4 kilometers east and 2 kilometers south of your house.
a. give the coordinates of the movie theater. your house is the origin.
b. after leaving the movie theater, you drive 5 kilometers west and 3 kilometers north to restaurant. what are the coordinates of the restaurant? use your house as the origin

a. (+4, -2)

We can use the following conventions:

- x-axis: east-west direction, with east being positive x and west being negative x

- y-axis: north-south direction, with north being positive y and south being negative y

With this coordinates, the movie theater is:

- 4 km east --> this means x = +4

- 2 km south --> this means y = -2

So, the coordinates of the theater are (+4,-2)

b. (-1,+1)

We drive 5 km west (which means ) and 3 km north (which means ). We have to add these displacements to each coordinate. we find:

So, the coordinates of the restaurant are (-1, +1)

the first, second, and fifth options

3. dark matter

empty space could also be a simple vacuum