ethanh6642 ethanh6642
  • 16-09-2018
  • Mathematics
contestada

Determine the distance finding the exact value in simplest form and aproximate to the 1 decimal place (3,-3) and (-3,5)

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PiaDeveau PiaDeveau
  • 25-09-2018

We are given coordinates : (3,-3) and (-3,5).

In order to find the distance between two coordinates, we use distance formula.

Distance between two points(d) = [tex]\sqrt{(x_2-x_1)^2-(y_2-y_1)^2}[/tex]

Plugging values of x1, y1, x2 and y2 in above formula.

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

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

=[tex]\sqrt{36+64}[/tex]

=[tex]\sqrt{100}[/tex]

Square root of 100 is 10.

Therefore, [tex]\sqrt{100}=10[/tex]

The exact value of distance between (3,-3) and (-3,5) is 10.0 .

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