Agps satellite can determine if you are within 5 mi. of its position, represented by the point left parenthesis negative 2 comma 1 right parenthesis on a grid. if each unit on the grid represents 1 mi., find the equation in standard form of the boundary of this region.

The equation of the boundary of the region is (x+2)² + (y-1)² = 25

Step-by-step explanation:

The satellite is positioned at (-2,1) and can sense the presence within 5 miles of its position.

The boundary of the region is a circle with center (-2,1) and radius 5.

The equation of the circle with center (h,k) and radius r is given by

(x-h)²+(y-k)²=r²

The equation of the circle with center (-2,1) and radius 5 is given by

(x+2)²+(y-1)²=5²=25

(x+2)² + (y-1)² = 25 is the required equation of the boundary of the region.

more detail

step-by-step explanation:

the formula for the equation of a circle is (x – h)2+ (y – k)2 = r2, where (h, k) represents the coordinates of the center of the circle, and r represents the radius of the circle. if a circle is tangent to the x-axis at (3,0), this means it touches the x-axis at that point.