ausmathgenius420
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- Joined
- Aug 5, 2021
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The shorter candles' length is given by the equation:
[math]L=\frac{-10}{8}t+10[/math]The longer candles' length can be expressed as:
[math]L=\frac{-c}{5}t+c[/math]
From the question, both lengths are equal at t=3 therefore:
[math]\frac{-10}{8}(3)+10=\frac{-c}{5}(3)+c[/math]Hence: [imath]c=15.625cm[/imath]
The shorter candles' initial length is 15.625cm
[math]L=\frac{-10}{8}t+10[/math]The longer candles' length can be expressed as:
[math]L=\frac{-c}{5}t+c[/math]
From the question, both lengths are equal at t=3 therefore:
[math]\frac{-10}{8}(3)+10=\frac{-c}{5}(3)+c[/math]Hence: [imath]c=15.625cm[/imath]
The shorter candles' initial length is 15.625cm
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