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Denzel wants to walk to the store from his house but he is not sure how far away it is.Find the distance between his house (-6, 8) and the store (7, -1). Each unit is equal toone mile. Round your answer to the nearest mile. Also, describe how you found youranswer.

Respuesta :

Remember that

The formula to calculate the distance between two points is given by

[tex]d=\sqrt{(y_2-y_1)^2+(x_2-x_1)^2}[/tex]

we have the points

house (-6, 8) and the store (7, -1)

substitute the given coordinates in the formula above

[tex]\begin{gathered} d=\sqrt{(-1-8)^2+(7+6)^2} \\ d=\sqrt{81+169} \\ d=\sqrt{250} \\ d=16\text{ miles} \end{gathered}[/tex]

therefore

The answer is 16 miles

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