Question

Find the distance between the pair of points. Give an exact answer, and where appropriate, an approximation to three decimal places.

Answer 1

`\sqrt[]{45},6.708`

Step-by-step explanation:

Given the pair of points: (-2, 9), (-8, 12).

The formula to find the distance between the points (a, b) and (c, d) is

`d=\sqrt[]{(d-b)^2+(c-a)^2}`

Here, a = -2, b = 9, c = -8 and d = 12. Plug the values into the formula.

`\begin{gathered} d=\sqrt[]{(12-9)^2+(-8-(-2))^2} \\ =\sqrt[]{3^2+(-6)^2} \\ =\sqrt[]{9+36} \\ =\sqrt[]{45} \\ \approx6.708 \end{gathered}`

The last option is correct.