Question

Find the distance between the points (3,5) and (12,2).
?

Answer 1

9.48

Explanation:

Answer 2

3√10 or about 9.49 units.

Explanation:

To find the distance between any two points, we may use the distance formula given by:

`d=√((x_2-x_1)^2+(y_2-y_1)^2)`

Let (3, 5) be (x₁, y₁) and (12, 2) be (x₂. y₂). By substitution:

`d=\sqrt{(12-3)^2+(2-5)^2`

Evaluate:

`d=\sqrt{(9^2)+(-3)^2`

Square:

`d=√(81+9)`

Simplify:

`d=√(90)=√(9\cdot10)=√(9)\cdot√(10)=3√(10)\approx9.49`

The distance between (3, 5) an (12, 2) is 3√10 or about 9.49 units.