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  • 14-01-2021
  • Mathematics
contestada

What is the distance between (-7, -2) and (13,-23)

Respuesta :

Аноним Аноним
  • 14-01-2021

Step-by-step explanation:

here,

x1=-7

x2=13

y1=-2

y2=-23

so

[tex]\boxed{\blue{ distance=\sqrt{(y2-y1)^2+(x2-x2)^2} }}[/tex] ⠀

=[tex]\tt{\sqrt{(-23-(-2))^2+(13-(-7))^2}}[/tex] ⠀

=[tex]\tt{\sqrt{(-21)^2+(20)^2} }[/tex] ⠀

=[tex]\tt{\sqrt{ 441+400} }[/tex] ⠀

=[tex]\tt{\sqrt{841} }[/tex] ⠀

=[tex]\tt{ 29 }[/tex] ⠀

So,

the distance between (-7, -2) and (13,-23)=29

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