Question

cameron, arthur, and jamie are playing soccer. their locations are recorded by a motion - tracking system. see examples 4 and 5
22 how far apart are arthur and jamie? round to the nearest tenth of a meter.

Explanation:

Step1: Identify coordinates

Assume each grid - square is 1 unit. Arthur's approximate coordinates are (20, 35) and Jamie's approximate coordinates are (45, 20).

Step2: Apply distance formula

The distance formula between two points \((x_1,y_1)\) and \((x_2,y_2)\) is \(d = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}\). Here, \(x_1 = 20,y_1 = 35,x_2 = 45,y_2 = 20\). So \(d=\sqrt{(45 - 20)^2+(20 - 35)^2}=\sqrt{25^2+( - 15)^2}=\sqrt{625 + 225}=\sqrt{850}\).

Step3: Calculate and round

\(\sqrt{850}\approx29.2\).

Answer:

29.2