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27 October, 13:19

If you transform x 2 + y 2 = 25 into 4x 2 + 4y 2 = 25, which option below describes the effect of this transformation on the radius?

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  1. 27 October, 16:53
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    X² + y² = 25 and 4x² + 4y² = 25

    a) x² + y² = 25 is a cercle which is located at (0,0) with a radius = 5

    b) 4x² + 4y² = 25. We can write it 4 (x²+y²) = 25 OR x²+y² = 25/4

    x²+y² = 25/4, this is a cercle which center is located at (0,0) with a radius = 2.5

    This transformation reduced the initial radius by half, from R = 5 to R = 2.5.
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