ZylieI344344 ZylieI344344
  • 03-11-2022
  • Mathematics
contestada

Find the distance between the pair of points (10, - 2), (-2,3)

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KynleaH425530 KynleaH425530
  • 03-11-2022

Recall that the distance between two points say

[tex]\begin{gathered} A(x_1,y_1)andB(x_2,y_2)\text{ is given as} \\ \sqrt{(x_2-x_1)^2+(y_2-y_1)^2} \\ So\text{ that the distance between the points }(x_1,y_1)\text{ = }(10,\text{ -2) and }(x_2,y_2)=(-2,3)\text{ is} \\ \sqrt{(-2-10)^2\text{ + }\left\lbrace \text{3-(}-2\right)\}^2} \\ \sqrt{(-12)^2+(5)^2} \\ \sqrt{144\text{ + 25}} \\ \sqrt{169} \\ =\text{ 13 units} \end{gathered}[/tex]

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