brandinowensouea8q brandinowensouea8q
  • 09-08-2017
  • Mathematics
contestada

when you use the distance formula does the order in which you subtract the x and y coordinates matter explain

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apologiabiology
apologiabiology apologiabiology
  • 09-08-2017
no it does not

as long as you subtract the x's from the x's and y's from the y's

consider
[tex]D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
and
[tex]D=\sqrt{(x_1-x_2)^2+(y_1-y_2)^2}[/tex]

alright, lets say x2-x1=z and x1-x2=-z
also y2-y1=t and y1-y2=-t

if we subsituted then we get

[tex]D=\sqrt{(z)^2+(t)^2}[/tex]
and
[tex]D=\sqrt{(-z)^2+(-t)^2}[/tex]

which simplifies to

[tex]D=\sqrt{z^2+t^2}[/tex]
and
[tex]D=\sqrt{z^2+t^2}[/tex]

the same thing
because the square of a negative becomes positive
so it doesn't matter
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