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Find the distance between the two points in simplest radical form.
(-9,8) and (-3, -1)

Sagot :

absor201

Answer:

The distance between (-9, 8) and (-3, -1) will be:

[tex]\:d=3\sqrt{13}[/tex] units

Step-by-step explanation:

Given the points

  • (-9, 8)
  • (-3, -1)

Finding the distance between (-9, 8) and (-3, -1)

[tex]d\:=\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}[/tex]

   [tex]=\sqrt{\left(-3-\left(-9\right)\right)^2+\left(-1-8\right)^2}[/tex]

   [tex]=\sqrt{\left(-3+9\right)^2+\left(-1-8\right)^2}[/tex]

   [tex]=\sqrt{36+81}[/tex]

   [tex]=\sqrt{117}[/tex]

   [tex]=3\sqrt{13}[/tex] units

Therefore, the distance between (-9, 8) and (-3, -1) will be:

[tex]\:d=3\sqrt{13}[/tex] units

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