Question

hector works as an air traffic controller in the tower located at (-8,3) on the coordinate plane below. today, hector is responsible for monitoring all air traffic within 20 miles of the tower. each of the 4 points plotted on the coordinate grid represents an air traffic control tower, and each grid line represents a distance of 10 miles. place a representation of the region hector is monitoring on the correct location on the grid.

Explanation:

Step1: Recall distance - region concept

The region within a certain distance from a point in a plane is a circle. The center of the circle is the location of the air - traffic control tower, which is at the point (-8,3). The radius of the circle is 20 miles. Since each grid line represents 10 miles, the radius of the circle on the grid will be 2 grid - line units.

Step2: Identify the shape

The shape representing the region within 20 miles of a point (the tower) is a circle. We need to place a circle centered at the point (-8,3) on the grid.

Answer:

The large circle should be placed centered at the point (-8,3) on the coordinate grid.