Question

Described and correct the error in finding the distance between the points (-3,-2) and (7,4)

Answer 1

The coordinates are given below as

`\begin{gathered} (x_1,y_1)\Rightarrow(-3,-2) \\ (x_2,y_2)\Rightarrow(7,4) \end{gathered}`

Concept:

To determine the distance between the two points, we will use the formula below

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

By substituting the values, we will have

`\begin{gathered} d=\sqrt[]{(x_2-x_1)^2+(y_2-y_1)^2} \\ d=√(\left(7-\left(-3\right)\right)^2+\left(4-\left(-2\right)\right)^2) \\ d=\sqrt[]{(4+2)^2+(7+3)^2} \\ d=\sqrt[]{6^2+10^2} \\ d=\sqrt[]{36+100} \\ d=\sqrt[]{136} \\ d=\sqrt[]{4}*\sqrt[]{34} \\ d=2\sqrt[]{34} \end{gathered}`

The value of d is

`\sqrt[]{136}`