Respuesta :

Answer:

10

Step-by-step explanation:

distance formula = \sqrt{(x_2 - x_1)^2 + (y_2-y_1)^2}

(x_1, y_1) = (5, 1)

(x_2, y_2) = (-3, -5)

\sqrt{ [(-3) - (5)]^2 + [(-5) - (1)]^2 }

\sqrt{ [-8]^2 + [-6]^2 }

\sqrt{ 64 + 36 }

\sqrt{ 100 }

= 10

VirαtKσhli

Answer:

[tex] Distance = 10 \ u [/tex]

Step-by-step explanation:

Given :-

  • Two points (5,1) and (-3,-5) .

And we need to find the distance between the two points . We can use distance formula here to find the distance between the two points . The distance formula for two points ,

  • [tex]( x_1,y_1)[/tex]
  • [tex](x_2,y_2)[/tex]

Distance Formula :-

[tex]\implies Distance =\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

  • Plug in the respective values ,

[tex]\implies Distance =\sqrt{\{5-(-3)\}^2+\{1-(-5)\}^2 } \\\\\implies Distance =\sqrt{ (5+3)^2+(1+5)^2}\\\\\implies Distance =\sqrt{ 8^2+6^2}\\\\\implies Distance =\sqrt{64+36}\\\\\implies Distance =\sqrt{100}\\\\\implies Distance = 10\ units [/tex]

Hence the distance between the two points is 10 units .

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