Question
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
( 5,7 )
on a map and its range is 1.3 mi . Write an equation in standard form that represents the boundary of the area that can receive a signal from the tower. Assume
that all distances are in miles.
The equation that represents the boundary of the area that can receive a signal from the tower is
on a map and its range is 1.3 mi . Write an equation in standard form that represents the boundary of the area that can receive a signal from the tower. Assume
that all distances are in miles.
The equation that represents the boundary of the area that can receive a signal from the tower is
Ask by Bowers Tucker. in the United States
Dec 07,2024
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Answer
The equation representing the boundary of the area that can receive a signal from the tower is
.
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Mind Expander
The equation that represents the boundary of the area that can receive a signal from the tower is given by the formula for a circle. Since the center of the circle is at point
and the radius is 1.3 miles, we can express this in standard form as:
Simplifying that, we get:
Now, to convert this into standard form, we can expand it and rearrange it as follows:
This is the standard form of the equation for the boundary area receiving signals from the cell tower.
A cell tower’s range isn’t just about distance; it’s also influenced by geography! Objects like buildings, trees, and hills can interfere with signals, creating dead zones. This is why cell towers must be strategically placed – to maximize coverage in various terrains!
Understanding the importance of frequency reuse is key in cellular networks. Different towers can use the same frequency if they’re spaced appropriately to minimize interference. This clever trick ensures that you get uninterrupted downloads on your phone while keeping the airwaves buzzing efficiently!