Answer :
To answer this question, we will employ the distance formula which states that the distance,[tex] d [/tex] between two points [tex] (x_1,y_1) [/tex] and [tex] (x_2,y_2) [/tex] is given by the formula:
[tex] d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2} [/tex]
Now, the points given to us are (2,9) and (10,6).
Thus, [tex] (x_1,y_1)=(2,9) [/tex] and [tex] (x_2,y_2)=(10,6) [/tex]
[tex] \therefore d=\sqrt{(10-2)^2+(6-9)^2}=\sqrt{73} \approx 8.54 [/tex]
Thus distance between the coordinates (2,9) and (10,6) rounded to the nearest tenth is 8.5 units.