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9. Jim left his house and drove to the bank On his way back home, Jim's wife called when he was exactly half way home. How many total miles had Jim traveled when his wife called?

Respuesta :

Let's calculate the distance from the bank to Jim's house using the distance formula:

[tex]\begin{gathered} \text{Jim's house coordinates:} \\ (x1,y1)=(17,13) \\ \text{Bamk coordinates:} \\ (x2,y2)=(2,5) \\ d=\sqrt[]{(x2-x1)^2+(y2-y1)^2} \\ d=\sqrt[]{(2-17)^2+(5-13)^2} \\ d=\sqrt[]{289} \\ d=17mi \end{gathered}[/tex]

Therefore, the total distance traveled would be:

[tex]Total=d+\frac{d}{2}=17+\frac{17}{2}=25.5mi[/tex]

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