xxalinax50
xxalinax50 xxalinax50
  • 14-03-2021
  • Mathematics
contestada

What is the distance between (-6,0) and (5,3)?

Respuesta :

rococo908
rococo908 rococo908
  • 14-03-2021

Answer:

[tex]\sqrt{130}[/tex] or 11.4

Step-by-step explanation:

Use the distance formula:

d = [tex]\sqrt{(x2 - x1)^2 + (y2 - y1)^2}[/tex]

Plug in the points:

d = [tex]\sqrt{(-6 - 5)^2 + (0 - 3)^2}[/tex]

Simplify:

d = [tex]\sqrt{(-11)^2 + (-3)^2}[/tex]

d = [tex]\sqrt{121 + 9}[/tex]

d = [tex]\sqrt{130}[/tex]

= approximately 11.4

So, the distance is [tex]\sqrt{130}[/tex] or approx. 11.4

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