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?

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 [tex]s=\sqrt{(x_{2}-x_{1}) ^{2}+(y_{2}-y_{1}) ^{2} }[/tex]

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

[tex]s=\sqrt{(1+3)^{2}+(1-1)^{2} }[/tex] ⇒ s=4 units

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

[tex]s=\sqrt{(-5+1)^{2}+(-4+2)^{2} }[/tex] ⇒ s=[tex]\sqrt 20units[/tex]

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

[tex]s=\sqrt{(1-4)^{2}+(-4+2)^{2} }[/tex] ⇒ s=[tex]\sqrt 13units[/tex]

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

[tex]s=\sqrt{(-1+3)^{2}+(-2-1)^{2} }[/tex] ⇒ s=[tex]\sqrt 13units[/tex]

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.

antonio2104353 antonio2104353 · Answer 2 · 2022-02-28T16:49:06+01:00

antonio2104353 antonio2104353

28-02-2022

Answer: Library and Restrooms

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