A tracking device that is installed in a mobile phone indicates that its user is located at a point whose coordinates are (18, 14). In the tracking device, each unit on the grid in equivalent to 7 km. If the phone user came from a place whose coordinates are (2, 6)? How far has he travelled?

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operrt

Answer:

Use the distance formula, input the numbers and you have 17.9 (rounding to the nearest tenth. 17.9*7 is 125.3 so he has traveled 125.3 km


that's a lot

Step-by-step explanation:


The user travelled 125.3 km to track his phone.

The distance between two points A(x₁, y₁) and B(x₂, y₂) on the coordinate plane is given by:

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

Given the points (18, 14) and (2, 6). The distance is:

[tex]Distance=\sqrt{(6-14)^2+(2-18)^2} =17.9\ units[/tex]

Each unit is 7 km, hence:

Distance between the two points = 17.9 units * 7 km per unit = 125.3 km

The user travelled 125.3 km to track his phone.

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