The question is incomplete. Here is the complete question:
Two roads that cross at right angles are used as coordinate axes for a map. A library is located at point L.
Use the drop-down menus to complete the statements about the location of the library.
(a) The library is located at point (_,_).
(b) The library is __ miles from Road X and __ miles from Road Y.
Answer:
(a) The library is located at point (3.25, -1.5).
(b) The library is <u>1.5 miles</u> from Road X and <u>3.25 miles</u> from Road Y
Step-by-step explanation:
Given:
The roads are at right angles to each other. Point 'L' is the location of the library.
(a)
From the graph, we can conclude that,
The length of each square in the graph is 0.5 miles. So,
The coordinates of point L are (3.25, -1.5).
The 'x' value is 3.25 and the 'y' value is -1.5.
Since the point 'L' is the location of library, therefore, the library is located at point (3.25,-1.5).
(b)
The distance of point L from road X is obtained by moving vertically up from point L till we reach the road X. In other words, the perpendicular distance between point L and horizontal x axis is the required distance.
The perpendicular distance is the absolute value of the y-coordinate of point L. The absolute value of 'y' of point L is |-1.5| = 1.5 miles.
Hence, the library is 1.5 miles from road X.
Similarly, 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. The absolute value of 'x' of point L is |3.25| = 3.25 miles.
Therefore, the library is 3.25 miles from road Y.
So, the library is 1.5 miles from Road X and 3.25 miles from Road Y
