Question
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On paper, the capital of a small city corresponds to the origin . A radio transmitter, located 1 mile east and
4 miles south of the capital, broadcasts in a mile radius. If you drive on a straight road from a city 4 miles
south of the capita
signal from the transmitter? Box your answer.
Problem 3: (5 noints)

Ask by Mullins Marshall. in the United States
Jan 27,2025

Upstudy AI Solution

Tutor-Verified Answer

Answer

You will receive the signal from the transmitter when you drive from the city 4 miles south of the capital.

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Bonus Knowledge

The radio transmitter is positioned at the coordinates since it’s 1 mile east and 4 miles south of the capital at . The area covered by the transmitter, given its radius of , can be represented by the equation .
If you’re driving straight from a city located 4 miles south of the capital, you begin at the point . You need to find if the path you take intersects with the area covered by the transmission. The distance formula calculates the distance from point to the transmitter’s location.
Plug in the coordinates into the distance formula:
Since 1 mile is less than the radius of (which is approximately 3.87 miles), you will indeed receive the signal from the transmitter!
Answer Box: 1 mile.

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