Question

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

Answer 1

Answer:

5.0 units

Step-by-step explanation:

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

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

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:

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

Therefore, the distance between two points is 5.0 units.