Solve the problem.
-A cell tower is a site where antennas, transmitters, and receivers are placed to create a cellular network. Suppose that a cell tower is located at a point A(-7, -6) on a map and its range is 2.5 mi. Write an equation that represents the boundary of the area that can receive a signal from the tower.
Assume that all distances are in miles.
A) $( x + 7 ) ^ { 2 } + ( y + 6 ) ^ { 2 } = 6.25$
B) $( x + 7 ) ^ { 2 } + ( y + 6 ) ^ { 2 } = 2.5$
C) $| x + 7 | + | ( y + 6 ) | = 2.5$
D) $| x - 7 | + | ( y - 6 ) | = 2.5$

Question

Solve the problem.
-A cell tower is a site where antennas, transmitters, and receivers are placed to create a cellular network. Suppose that a cell tower is located at a point A(-7, -6) on a map and its range is 2.5 mi. Write an equation that represents the boundary of the area that can receive a signal from the tower.
Assume that all distances are in miles. 
A) $( x + 7 ) ^ { 2 } + ( y + 6 ) ^ { 2 } = 6.25$
B) $( x + 7 ) ^ { 2 } + ( y + 6 ) ^ { 2 } = 2.5$
C) $| x + 7 | + | ( y + 6 ) | = 2.5$
D) $| x - 7 | + | ( y - 6 ) | = 2.5$

Quizplus · Accepted Answer

The equation represents a circle with center at (-7, -6) and radius 2.5. The equation of a circle is $(x - h)^2 + (y - k)^2 = r^2$, where (h, k) is the center and r is the radius. Substituting h = -7, k = -6, and r = 2.5, we get $(x + 7)^2 + (y + 6)^2 = 6.25$, since $2.5^2 = 6.25$.

Solve the Problem (x+7)2+(y+6)2=6.25( x + 7 ) ^ { 2 } + ( y + 6 ) ^ { 2 } = 6.25(x+7)2+(y+6)2=6.25

Solve the Problem $( x + 7 ) ^ { 2 } + ( y + 6 ) ^ { 2 } = 6.25$