Answer:
Part 1) The library is located at point (3.25,-1.5)
Part 2) The library is 1.5 miles from Road X
Part 3) The library is 3.25 miles from Road Y
Step-by-step explanation:
step 1
Find the coordinates of the library
we know that
Observing the graph
The length of each square in the graph is 0.5 miles
so
The coordinates of point L are (3.25,-1.5)
therefore
The library is located at point (3.25,-1.5)
step 2
Find the distance of the library from road X
we know that
The distance of point L from road X is the perpendicular distance of point L to the Road X
The perpendicular distance is the absolute value of the y-coordinate of point L
therefore
The library is 1.5 miles from Road X
step 3
Find the distance of the library from road Y
we know that
The distance of point L from road Y is the perpendicular distance of point L to the Road Y
The perpendicular distance is the absolute value of the x-coordinate of point L
therefore
The library is 3.25 miles from Road Y
