Question

Calculate the distance for D(5,-6)E(-9,2)

Answer 1

calculate the distance for D(5,-6)E(-9,2) ​

we know that

the formula to calculate the distance between two points is equal to

`d=\sqrt[]{(y2-y1)^2+(x2-x1)^2}`

substitute the given values

`\begin{gathered} d=\sqrt[]{(2+6)^2+(-9-5)^2} \\ d=\sqrt[]{(8)^2+(-14)^2} \\ d=\sqrt[]{260}\text{ units} \end{gathered}`

simplify

`d=2\sqrt[]{65\text{ units}}`

i am here

yes

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