Find the distance
d(P1.P₂) between
the given points P1
and P2.
P1 = (0,0)
P2 = (6,5)
Simplify your answer, use radicals as needed.

Respuesta :

The distance between the two points P1 and P2 is d = √61.

What is the distance?

  • Distance is a measurement of how far apart two objects or points are, either numerically or occasionally qualitatively.
  • The distance can refer to a physical length in physics or to an estimate based on other factors in common usage.
  • Length is measured in distance.
  • For instance, the length of a road is its distance.
  • The most popular units of measurement for distance in the metric system are millimeters, centimeters, meters, and kilometers.

So, the distance between points P1 and P2:

  • Where, P1 = (0,0) and P2 = (6,5).
  • The distance formula: d = √(x₂-x₁)²+(y₂-y₁)²

Now, substitute the values in the formula as follows:

  • d = √(x₂-x₁)²+(y₂-y₁)²
  • d = √(6-0)²+(5-0)²
  • d = √36+25
  • d = √61

Therefore, the distance between the two points P1 and P2 is d = √61.

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