Question

you work for a telecommunications company and need to analyze the outcome of a proposed new cell tower project. cell phone radio towers broadcast a cell phone signal in a circular pattern. The company currently has cell towers in the locations described in the table. Tower A is Adele Acres coverage radius of 4ml. Tower B Brown Lake located 5miles east and 4 miles north of adele acres coverage radius of 3ml. and tower c cady city, located 4 miles eand and 4 miles south of adele acres, 5 ml in coverage radius. Using Adele Acres as the origin, what is the standard form for each tower and what is the general form for each tower, using adele acres as the origin.

Answer 1

Answer:

The equations describing the area which each tower covers are given as

Tower A : $x^{2} + y^{2} = 16$

Tower B : $(x - 5)^{2} + (y - 4)^{2} = 9$

Tower C : $(x - 4)^{2} + (y + 4)^{2} = 25$

Step-by-step solution:

Cell phone radio towers broadcast a cell phone signal in circular pattern

Tower A at Adele Acres have position co-ordinates  as (0,0) and a coverage radius of  4 ml. So, the area which it covers is given by the equation,

$x^{2} + y^{2} = 16$ -------------------------------(1)

Tower B at Brown Lake have position co-ordinates  as (5,4) and a coverage radius of  3 ml. So, the area which it covers is given by the equation,

$(x - 5)^{2} + (y - 4)^{2} = 9$ -------------------------------(2)

Tower C at Cady City have position co-ordinates  as (4,-4) and a coverage radius of  5 ml. So, the area which it covers is given by the equation,

$(x - 4)^{2} + (y + 4)^{2} = 25$ -------------------------------(2)