A coordinate system is placed at the center of a town with the positive x -axis pointing east, and the positive y -axis pointing north. A cell tower is located 4 mi west and 5 mi north of the origin. a. If the tower has a 8 -mi range, write an inequality that represents the points on the map serviced by this tower. b. Can a resident 5 mi east of the center of town get a signal from this tower?
A coordinate system is placed at the center of a town with the positive x -axis pointing east, and the positive y -axis pointing north. A cell tower is located 4 mi west and 5 mi north of the origin. a. If the tower has a 8 -mi range, write an inequality that represents the points on the map serviced by this tower. b. Can a resident 5 mi east of the center of town get a signal from this tower?
Solution Summary: The author calculates an inequality that describes the points on the map serviced by a cell tower if it has 8 miles of range and the tower range is 8mi.
A coordinate system is placed at the center of a town with the positive
x
-axis
pointing east, and the positive
y
-axis
pointing north. A cell tower is located
4
mi
west and
5
mi
north of the origin.
a. If the tower has a
8
-mi
range, write an inequality that represents the points on the map serviced by this tower.
b. Can a resident
5
mi
east of the center of town get a signal from this tower?
System that uses coordinates to uniquely determine the position of points. The most common coordinate system is the Cartesian system, where points are given by distance along a horizontal x-axis and vertical y-axis from the origin. A polar coordinate system locates a point by its direction relative to a reference direction and its distance from a given point. In three dimensions, it leads to cylindrical and spherical coordinates.
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