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19 September, 01:40

Verify that the given w=50+2.3 (h-60) and h = (w+88) / 2.3 are inverses by showing that (w*h) (w) = w and that (h*w) (h) = h.

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  1. 19 September, 03:47
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    From (1) w = 50 + 2.3 (h-60) we have w = 50 + 2.3h - 138 = - 88 + 2.3h. And h = w/2.3 + 88/2.3. Substituting into the first line, i. e (w*h) * w we have ((-88+2.3h) * (w/2.3 + 88/2.3)) = - 88w/2.3 - (88) ^2/2.3 + wh + 88h. Multiplying by w, we have - 88w^2/2.3 - w (88) ^2/2.3 + w^2h + 88wh On the other hand, (h*w) gives (w/2.3 + 88/2.3) * (-88 + 2.3h) = - 88w/2.3 + wh - (88) ^2/2.3 + 88h Multiplying gives - 88w^2/2.3 + w^2h - w (88) ^2/2.3 + 88wh. So it follows that they are inverse, but there should be a change of sign methink the question is wrong
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