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What is the distance between (−2, −4) and (−2, −8) ?

2 units

4 units

12 units


Sagot :

Answer:

4 units

Step-by-step explanation:

Calculate the distance d using the distance formula

d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]

with (x₁, y₁ ) = (- 2, - 4 ) and (x₂, y₂ ) = (- 2, - 8 )

d = [tex]\sqrt{(-2-(-2))^2+(-8-(-4))^2}[/tex]

  = [tex]\sqrt{(-2+2)^2+(-8+4)^2}[/tex]

  = [tex]\sqrt{0^2+(-4)^2}[/tex]

  = [tex]\sqrt{0+16}[/tex]

  = [tex]\sqrt{16}[/tex]

  = 4

Answer:

  • 4 units

Step-by-step explanation:

Given points:

  • (−2, −4) and (−2, −8)

Since the x-coordinates are same, the distance between them is the absolute value of the difference in y- coordinates:

  • d = |-8 - (-4)| = | - 4| = 4