Answer :

Square root of 73...
I think..

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.



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