Earth is represented on a map of a portion of the solar system so that its surface is the circle with equation x squared + y squared + 8x + 6y - 3575=0. A weather satellite circles 0.4 unit above Earth with the center of its circular orbit at the center of Earth. Find the general form of the equation for the orbit of the satellite on this map.

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  1. earth's circle is
    (x+4)^2 + (y+3)^2 = 60^2

    So, the orbit is
    (x+4)^2 + (y+3)^2 = 60.4^2

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