Question

Use the distance formula to find the distance between the points given.(16, -8), (2, - 15)

Answer 1

Given:

`\left(16,-8\right),(2,-15)`

To find:

The distance between the points.

Step-by-step explanation:

Using the distance formula,

`d=√((x_2-x_1)^2+(y_2-y_1)^2)`

Substituting the values, we get,

`\begin{gathered} d=√((2-16)^2+(-15-(-8))^2) \\ =√((2-16)^2+(-15+8)^2) \\ =√((-14)^2+(-7)^2) \\ =√(196+49) \\ d=√(245)units \end{gathered}`

Therefore, the distance between two points is,

`\begin{gathered} d=√(245)units \\ (or) \\ d=15.65\text{ units.} \end{gathered}`

Final answer:

The distance between two points is,

`\begin{gathered} d=√(245)units \\ (or) \\ d=15.65\text{ units.} \end{gathered}`