Note: Your teacher will grade your response to this question to ensure you receive proper credit for your answer. The equation (x + 6)2 + (y + 4)2 = 36 models the position and range of the source of a radio signal. Describe the position of the source and the range of the signals. (3 points)
The equation (x + 6)2 + (y + 4)2 = 36 represents a circle with center (-6, -4) and a radius of 6 units. This means that the source of the radio signal is located at the point (-6, -4) on the coordinate plane. The range of the signals extends up to 6 units in all directions from the source. In other words, any point within a 6 unit radius of the source location will receive the radio signal.
make it like a human wrote it
The equation (x + 6)2 + (y + 4)2 = 36 tells us that the source of the radio signal is located at the point (-6, -4) on a map. Think of it as the spot where the radio tower stands. The range of the signals reaches out in all directions up to 6 units away from this spot. This means that if you're within a 6 unit radius of the tower, you'll be able to catch the radio signal loud and clear. So, if you're tuning in to your favorite station, you'll want to be relatively close to this central point to get the best reception.
