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zzz [600]
3 years ago
7

two joggers run 8 miles north and then 5 miles west. what is the shortest distance, to the nearest tenth of a mile, they must tr

avel to return to their starting point? round to the nearest tenths place
Mathematics
1 answer:
Rudiy273 years ago
3 0
A² + b² = c²

c² = 8² + 5²

c² = 89

c = √89

c = 9.4 miles

Answer: 9.4 miles
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Also given that -5 is one of the roots, we are to find the other root and the value of 'q'.

Let the other root of the equation be 'p'. So, we have

p-5=-\dfrac{7}{3}\\\\\\\Rightarrow p=5-\dfrac{7}{3}\\\\\\\Rightarrow p=\dfrac{8}{3},

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p\times(-5)=-\dfrac{q}{3}\\\\\\\Rightarrow \dfrac{8}{3}\times 5=\dfrac{q}{3}\\\\\\\Rightarrow q=40.

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