Question

Need help with math It’s and explain the answer to

Answer 1

The distance between points A and B is;

`6\sqrt[]{2}`

Step-by-step explanation:

Given the two points A and B, with coordinates;

`\begin{gathered} A(-2,4) \\ B(4,-2) \end{gathered}`

The distance between the two points can be calculated using the formula;

`d=\sqrt[]{(x_2-x_1)^2+(y_2-y_1)^2}`

substituting the given coordinates;

`\begin{gathered} AB=\sqrt[]{(4-(-2))^2+(-2-4)^2} \\ AB=\sqrt[]{(6)^2+(-6)^2} \\ AB=\sqrt[]{36+36} \\ AB=\sqrt[]{72} \\ AB=6\sqrt[]{2} \end{gathered}`

Therefore, the distance between points A and B is;

`6\sqrt[]{2}`