bigchow
bigchow bigchow
  • 24-10-2018
  • Mathematics
contestada

What is the distance between (-2 1/3,-3) and (1,-3)? (In fraction form)

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gmany
gmany gmany
  • 26-10-2018

[tex]\text{The formula of a distance between two points}\\\\d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\\\\text{We have the points}\ \left(-2\dfrac{1}{3};\ -3\right)\ \text{and}\ (1,\ -3).\\\\\text{Substitute}\\\\d=\sqrt{\left(1-\left(-2\frac{1}{3}\right)\right)^2+(-3-(-3))^2}=\sqrt{\left(3\dfrac{1}{3}\right)^2+(-3+3)^2}\\\\=\sqrt{\left(3\dfrac{10}{3}\right)^2+0^2}=\sqrt{\left(3\dfrac{1}{3}\right)^2}=3\dfrac{1}{3}\\\\Used\ \sqrt{a^2}=a[/tex]

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