Respuesta :
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 [tex]\Delta x = -5[/tex]) and 3 km north (which means [tex]\Delta y = +3[/tex]). We have to add these displacements to each coordinate. we find:
[tex]x'= x_0 + \Delta x = +4 + (-5) = -1\\y' = y_0 + \Delta y = -2 + (+3)=+1[/tex]
So, the coordinates of the restaurant are (-1, +1)