skatejoshua2003 skatejoshua2003
  • 09-12-2021
  • Mathematics
contestada

Calculate the distance between the points H=(-2, -5) and K=(-7, 1) in the coordinate plane.
Give an exact answer (not a decimal approximation).

Respuesta :

Paounn
Paounn Paounn
  • 09-12-2021

Answer:

[tex]d=\sqrt{61}[/tex]

Step-by-step explanation:

The distance is given by the expression[tex]d=\sqrt{(\Delta x)^2+(\Delta y)^2}= \sqrt{[(-2)-(-7)]^2+[(-5)-(1)]^2} = \sqrt{(-2+7)^2+(-5-1)^2}=\sqrt{(5)^2+(-6)^2}=\sqrt{(25+36)}=\sqrt {61}[/tex]

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