In a large city, the road system is set up like a Cartesian plane, where streets are indicated by the number of blocks they are from Street A and Street B. For example, a baseball field
is located 10 blocks west of Street B and 29 blocks north of Street A. Treat the intersection of Street A and Street B as the origin of a coordinate system, with East being the
positive x-axis. Answer parts (a)-(d).
(a) Write the location of the baseball field using rectangular coordinates.
(Type an ordered pair.)



Answer :

To determine the location of the baseball field using rectangular coordinates, we need to translate the given information into an (x,y) coordinate pair, where 'x' represents the horizontal position (east-west) and 'y' represents the vertical position (north-south). Based on the description, the baseball field is located: - 10 blocks west of Street B - 29 blocks north of Street A In a Cartesian plane, moving west from the y-axis means moving in the negative x-direction, and moving north from the x-axis means moving in the positive y-direction. Accordingly: - The "10 blocks west of Street B" translates to -10 on the x-axis. - The "29 blocks north of Street A" translates to +29 on the y-axis. Therefore, the rectangular coordinates for the location of the baseball field are (-10, 29), with -10 being the x-coordinate and 29 being the y-coordinate. The ordered pair representing the location is: (-10, 29).