Question

find the distance between the point (-8/5,2) and (2/5,2)

Answer 1

please see attached image

Answer 2

Answer:

Distance between two points = 2

Explanation:

Distance formula:

The distance between two points $(x_{1},y_{1}) \:and\: (x_{2},y_{2})$ is

$\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}$.

Now ,

Let $(x_{1},y_{1})=(\frac{-8}{5},2) \: and \: //(x_{2},y_{2})=(\frac{2}{5},2)$

Distance = $\sqrt{\left(\frac{2}{5}-\frac{(-8)}{5}\right)^{2}+(2-2)^{2}}$

=$\sqrt\left({\frac{2}{5}-\frac{(-8)}{5}\right)^{2}+0}$

=$\sqrt\left({\frac{2}{5}+\frac{8}{5}\right)^{2}}$

= $\frac{2}{5}+\frac{8}{5}$

= $\frac{10}{5}$

=$2$

Therefore,

Distance = 2

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