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A map on a coordinate plane places two cities on coordinates. Upland is located at (25, 5) and Highland is located at (50, 10). If each unit on the map represents one mile, approximately how many miles apart are the two cities?

A map on a coordinate plane places two cities on coordinates Upland is located at 25 5 and Highland is located at 50 10 If each unit on the map represents one m class=

Respuesta :

Hrishii

Answer:

Approximately 25.5 miles

Step-by-step explanation:

Location of both the cities are [tex] (25,\: 5)=(x_1, \:y_1) \:\&\: (50,\: 10)=(x_2 , \:y_2) [/tex]

The distance between two cities can be obtained by using distance formula:

Distance between two cities

[tex] = \sqrt{ {(x_2 - x_1)}^{2} + {(y_2 - y_1)}^{2}} \\ \\ = \sqrt{ {(50 - 25)}^{2} + {(10 - 5)}^{2}} \\ \\ = \sqrt{ {(25)}^{2} + {(5)}^{2}} \\ \\ = \sqrt{ 625 + 25} \\ \\ = \sqrt{ 650} \\ \\ = 25.4950976 \\ \\ \approx25.5 \: miles[/tex]

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