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. (no plagiarism)

Answer 1

The equation given represents the equation for a circle in the Cartesian plane. The center of the circle is (-6, -4) and the radius is 6.

Therefore, the position of the source of the radio signal is at the point (-6, -4). This means that the source is located 6 units to the left of the y-axis and 4 units below the x-axis.

The range of the signal can be determined by looking at the radius of the circle, which is 6 units. This means that the radio signal can travel up to 6 units away from the source before losing its strength.

In summary, the source of the radio signal is located at (-6, -4) and the range of the signal extends up to 6 units from the source in all directions.