Respuesta :
Answer:
[tex]\sqrt{13}[/tex]
Step-by-step explanation:
Calculate the distance d using the distance formula
d = √ (x₂ - x₁ )² + (y₂ - y₁ )²
with (x₁, y₁ ) = (- 2, - 2) and (x₂, y₂ ) = (- 4, - 5)
d = [tex]\sqrt{(-4+2)^2+(-5+2)^2}[/tex]
= [tex]\sqrt{(-2)^2+(-3)^2}[/tex]
= [tex]\sqrt{4+9}[/tex]
= [tex]\sqrt{13}[/tex]
The distance between (-2-2i) and (-4 – 5i) on the complex plane is [tex]\sqrt{13}[/tex].
What is the distance?
Distance is a numerical measurement of how far apart objects or points are. In Physics or everyday usage, distance may refer to a physical length or an estimation based on other criteria.
Calculating the distance:
Calculate the distance d using the distance formula
d = √ (x₂ - x₁ )² + (y₂ - y₁ )²
with (x₁, y₁ ) = (- 2, - 2) and (x₂, y₂ ) = (- 4, - 5)
[tex]d=\sqrt{(-2+4)^{2}+(-2+5)^2 } \\d=\sqrt{4+9}\\d=\sqrt{13}.[/tex]
Learn more about Distance:
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