amyalee03 amyalee03
  • 22-06-2021
  • Mathematics
contestada

Find the distance between the two points in simplest radical form.
(7, 2) and (-1, -3)

Find the distance between the two points in simplest radical form 7 2 and 1 3 class=

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sreedevi102
sreedevi102 sreedevi102
  • 22-06-2021

Answer:

[tex]Distance = \sqrt{89}[/tex]

Step-by-step explanation:

[tex]Let \ (x_1 , y_1) = \ ( 7, 2 ) \ and \ (x_2 , y _2) \ = ( -1 , - 3) \\\\\\Distance = \sqrt{(x_2-x_1)^2 + (y_2 - y_1)^2}\\\\[/tex]

               [tex]= \sqrt{(-1 - 7)^2 + ( -3 -2)^2}\\\\=\sqrt{(-8)^2 + ( -5)^2}\\\\=\sqrt{ 6 4 + 25 } \\\\=\sqrt{89}[/tex]

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