What is the distance between the coordinates (2,9) and (10,6)? round your answer to the nearest tenth

To answer this question, we will employ the distance formula which states that the distance, between two points and is given by the formula:

Now, the points given to us are (2,9) and (10,6).

Thus, and

Thus distance between the coordinates (2,9) and (10,6) rounded to the nearest tenth is 8.5 units.

x = 4 cm

y = 3 cm

Dimension is 11 by 8

Step-by-step explanation:

The computation of the values of x and y and their dimension is shown below:

3y + 2 = x + 7

3y - x = 5(i)

2x = x + y + 1

x - y = 1(ii)

Now solve these both equations

2y = 6

y = 3 cm

And,

x - y = 1

x - 3 = 1

x = 4 cm

Now their dimension is

= x + 7

= 4 + 7 = 11

And,

= x + y + 1

= 4 + 3 + 1

= 8

So, 11 by 8