What equation represents the transmission boundaries of each tower?​

Sagot :

Answer:

[tex](x + 2 {) +}^{2} + (y - 8 {)}^{2} = 1 {2}^{2} \\ (x + 2 {)}^{2} + (y - 8 {)}^{2} = 44[/tex]

#CarryOnLearning.

Cellular phone networks use towers to transmit calls to a circular area. On a grid of a province, the coordinates that correspond to the location of the towers and the radius each cover are as follows: Tower 1 is at (-5, -3) and covers a 9 km radius; Tower 2 is at (3,6) and covers a 4 km radius; and Tower 3 is at (12, -3) and covers a 6 km radius.

Solution:

Tower 1 is at (-5, -3)  

and covers a 9 km radius

Equation is  ( x -(-5))² + (y -(-3))² = 9²

=> (x + 5)² + (y + 3)² = 81

Tower 2 is at (3,6) and covers a 4 km radius

(x - 3)² + (y - 6)² = 16

Tower 3 is at (12, -3) and covers a 6 km radius.

(x - 12)² + (y + 3)² = 36

(12,2)  - TOWER 3

(-6 , -7) , TOWER 1

(2 , 8) , TOWER 2

(1 , 3) -  TOWER 1  and TOWER 2