To evaluate the expression \(-10 / (tu + u)\) for \(t = 1\) and \(u = 5\), we first substitute the values of \(t\) and \(u\) into the expression.
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Substitute \(t = 1\) and \(u = 5\): \[ tu + u = (1)(5) + 5 \]
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Calculate \(tu + u\): \[ tu + u = 5 + 5 = 10 \]
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Now substitute this result back into the original expression: \[ -10 / (tu + u) = -10 / 10 \]
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Finally, simplify: \[ -10 / 10 = -1 \]
The simplified answer is \(-1\).