Question

Use the distance formula to find the distance between the points given.

Answer 1

Step-by-step explanation:

The coordinates are given below as

`\begin{gathered} (x_1,y_1)=(12,-7) \\ (x_2,y_2)=(3,-16) \end{gathered}`

Concept:

To calculate the distance between the points above, we will use the formula below

`D=√((x_2-x_1)^2+(y_2-y_1)^2)`

By substituting the values, we will have

`\begin{gathered} \begin{equation*} D=√((x_2-x_1)^2+(y_2-y_1)^2) \end{equation*} \\ D=√((3-12)^2+(-16-(-7)^2) \\ D=√((-9)^2+(-9)^2) \\ D=√(81+81) \\ D=√(162) \\ D=√(81*2) \\ D=√(81)*√(2) \\ D=9√(2) \end{gathered}`

Hence,

The final answer is

`\Rightarrow9√(2)`