Question

Please Help me!!!!!!!

A GPS 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.

Answer 1

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

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.