Tintedmoonviz
Answered

what is the distance between points D(-10,2) and E(6,10)​

What Is The Distance Between Points D102 And E610 class=

Sagot :

✒MATHEMATICS

SOLUTION :

Formula for distance between two points:

  • [tex]{\boxed{{{d = \sqrt{(x_2 - x_1) {}^{2} + (y_2 - y_1) {}^{2} } {} }}}}[/tex]

So, distance between points is:

  • [tex]d = \sqrt{(x_2 - x_1) {}^{2} + (y_2 - y_1) {}^{2} } {} [/tex]
  • [tex]d = \sqrt{(6 - ( - 10)) {}^{2} + (10 - 2) {}^{2} } [/tex]
  • [tex]d = \sqrt{256 + 64} [/tex]
  • [tex]d = \sqrt{320} [/tex]
  • [tex]d = {\boxed{\green{\sf{8 \sqrt{5} \: units}}}}[/tex]

ANSWER :

  • Therefore, the answer is Option (D).

hope this helps

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