Question

Find the distance between A (2,6) and N (5, 10). Round
To the nearest tenth

Answer 1

5.0 units

Explanation:

The distance between two points can be expressed in formula of:

`\displaystyle{d = √(\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2)}`

Determine:

• 
  `\displaystyle{(x_2,y_2)}` is (5,10).
• 
  `\displaystyle{(x_1,y_1)}` is (2,6).

Therefore, substitute in the formula to find distance:

`\displaystyle{d = √(\left(5-2\right)^2+\left(10-6\right)^2)}\\\\\displaystyle{d = √(3^2+4^2)}\\\\\displaystyle{d = √(9+16)}\\\\\displaystyle{d = √(25)}\\\\\displaystyle{d = 5}`

Therefore, the distance between two points is 5.0 units.