The library is at point (1,1). the gym is at point (1,-4). the chemistry lab is at point (-3,6). the restrooms are at point (-3,1). the teacher's lounge is at point (4,6). the principal's office is at point (-5,-4). the auditorium is at point (4,-2). and the physics lab is at point (-1,-2). which of these pairs of places lie 4 units from one another?

Library and restrooms are only the places which lie 4 units from each another.

Step-by-step explanation:

Given that the library is at point (1,1). The gym is at point (1,-4). The chemistry lab is at point (-3,6). The restrooms are at point (-3,1). The teacher's lounge is at point (4,6). The principal's office is at point (-5,-4). The auditorium is at point (4,-2). And the physics lab is at point (-1,-2).

These points are labelled on the graph as shown in attachment.

Now, the points which are nearer we can calculate the distance by distance formula which is written as

Now, distance between the points (-3, 1) and (1,1)

⇒ s=4 units

Now, the distance between the points (-1,-2) and (-5, -4)

⇒ s=

Now, the distance between the points (4,-2) and (1, -4)

⇒  s=

Now, the distance between the points (-3,1) and (-1,-2)

⇒  s=

Similarly, by calculating only 1 pair lie 4 unit from one place to another.

Library and restrooms are only the places which lie 4 units from each another.

expression #3 is not equivalent. the others are.

  n=   0.0000 - 0.3750 i  

  n=   0.0000 + 0.3750 i

step-by-step explanation:

one of these should be correct