Respuesta :

The distance between R and S is: [tex]5\sqrt{2}[/tex]

Further explanation:

Given points are:

(x1,y1) = (-8,-3)

(x2,y2) = (-1,-4)

The distance formula is given by:

[tex]d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\ d = \sqrt{(-1-(-8))^2+(-4-(-3))^2}\\=\sqrt{(-1+8)^2+(-4+3)^2}\\=\sqrt{(7)^2+(-1)^2}\\=\sqrt{49+1}\\=\sqrt{50}\\ =\sqrt{5*5*2}\\=\sqrt{5^2*2}\\=5\sqrt{2}[/tex]

The distance between R and S is: [tex]5\sqrt{2}[/tex]

Keywords: Magnitude, Distance

Learn more about Magnitude at:

  • brainly.com/question/9640832
  • brainly.com/question/9654071

#LearnwithBrainly

Q&A Education