Q:

Two roads that cross at right angles are used as coordinate axes for a map. A library islocated at point L.Use the drop-down menus to complete the statements about the location of the library.The library is located at point (_,_).The library is __miles from Road X and __miles from Road Y.

Accepted Solution

A:
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 1Find the coordinates of the librarywe know thatObserving the graphThe length of each square in the graph is 0.5 milessoThe coordinates of point L are (3.25,-1.5)thereforeThe library is located at point (3.25,-1.5)step 2Find the distance of the library from road Xwe know thatThe distance of point L from road X is the perpendicular distance of point L to the Road XThe perpendicular distance is the absolute value of the y-coordinate of point LthereforeThe library is 1.5 miles from Road X step 3Find the distance of the library from road Ywe know thatThe distance of point L from road Y is the perpendicular distance of point L to the Road YThe perpendicular distance is the absolute value of the x-coordinate of point LthereforeThe library is 3.25 miles from Road Y