desireesoto11 desireesoto11
  • 02-03-2022
  • Mathematics
contestada

What is the distance between points A and C?
3.3 units
3.6 units
5.2 units
7.8 units

What is the distance between points A and C 33 units 36 units 52 units 78 units class=

Respuesta :

jimrgrant1 jimrgrant1
  • 02-03-2022

Answer:

AC ≈ 7.8 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 ) = A (- 4, - 4 ) and (x₂, y₂ ) = C (2, 1 )

AC = [tex]\sqrt{(2-(-4))^2+(1-(-4))^2}[/tex]

      = [tex]\sqrt{(2+4)^2+(1+4)^2}[/tex]

      = [tex]\sqrt{6^2+5^2}[/tex]

     = [tex]\sqrt{36+25}[/tex]

     = [tex]\sqrt{61}[/tex]

     ≈ 7.8 ( to 1 dec. place )

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