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If F is the focal length of a convex lens and an object is placed at a distance x from the lens, then its image will be at a distance y from the lens, where F, x, and y are related by the lens equation 1 F = 1 x + 1 y . Suppose that a lens has a focal length of 4.2 cm, and that the image of an object is 8 cm closer to the lens than the object itself. How far from the lens is the object?
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\[\frac{ 1 }{ F }=\frac{ 1 }{ X }+\frac{ 1 }{ Y }\]
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