VishvC746020 VishvC746020
  • 25-10-2022
  • Mathematics
contestada

21.) Determine the distance between the points (-2, 3) and (4,9).A 142B 7146C 413D 6V222.) Infigure

21 Determine the distance between the points 2 3 and 49A 142B 7146C 413D 6V222 Infigure class=

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TinasheD723193 TinasheD723193
  • 25-10-2022

The distance formula can be represented below

[tex]\begin{gathered} c^{}=\sqrt[]{(x_2-x_1)^2+(y_2-y_1)^2} \\ \end{gathered}[/tex]

Therefore,

[tex]\begin{gathered} c=\sqrt[]{(4+2)^2+(9-3)^2} \\ c=\sqrt[]{(6)^2+(6)^2} \\ c=\sqrt[]{36+36} \\ c=\sqrt[]{72} \\ c=\sqrt[]{36\times2} \\ c=6\sqrt[]{2} \end{gathered}[/tex]

The answer is D.

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