Spherical Mirrors: Image Formation with Concave Mirrors - Calculation Example

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A concave mirror reflects an image of the Moon 6 cm form the mirror. If a coin is placed 8 cm from the same mirror, where will its image be?

I just want to make sure of something. Since the Moon is very far from the mirror, f is simply the image distance of the Moon. Therefore, all I have to do is plug in f=6 and the object distance=8 in the mirror equation to find the image distance.
 
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Yeah. Thats right.