On a map of Texas midland is located at (7.2) and Odessa is located at (-3,-4) each unit on the map represents 1.7 miles what is the approximate distance to the nearest mile between the citys

Respuesta :

Answer:

20 miles

Step-by-step explanation:

Use the distance formula to find the length of the segment between those 2 endpoints.  The distance formula is

[tex]d=\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2    }[/tex]

Filling in our values:

[tex]d=\sqrt{(-3-7)^2+(-4-2)^2}[/tex] and

[tex]d=\sqrt{(-10)^2+(-6)^2}[/tex] and

[tex]d=\sqrt{100+36}[/tex] and

[tex]d=\sqrt{136}[/tex] so

d = 11.66190

If each unit is equivalent to 1.7 miles, multiply that distance by 1.7 to get that the distance is 19.8.  Since we are rounding to the nearest mile, it is 20 miles.

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