Question

Find the distance between the pair of points. Round to the nearest tenth, if necessary.

Answer 1

Answer: 6.7

Step-by-step explanation

The two points in the diagram are (-2,-3) and (4,0).

We can form a right triangle and then compute the hypotenuse (using the pythagorean theorem). As a slightly related method, I'll use the distance formula.

`(x_1,y_1) = (-2,-3) \text{ and } (x_2, y_2) = (4,0)\\\\d = √((x_1 - x_2)^2 + (y_1 - y_2)^2)\\\\d = √((-2-4)^2 + (-3-0)^2)\\\\d = √((-6)^2 + (-3)^2)\\\\d = √(36 + 9)\\\\d = √(45)\\\\d = √(9*5)\\\\d = √(9)*√(5)\\\\d = 3√(5)\\\\d \approx 6.708204 \ \ \leftarrow \ \text{ you'll need a calculator}\\\\d \approx 6.7`

The approximate distance is 6.7 units