mamadoueditsnaruto mamadoueditsnaruto
  • 18-10-2021
  • Mathematics
contestada

Point P has coordinates (-4, -2) and point Q has coordinates (4, 3).
Calculate the shortest distance between P and Q.
Give your answer to 1 decimal place.

Respuesta :

jimrgrant1 jimrgrant1
  • 18-10-2021

Answer:

≈ 9.4

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 ) = P (- 4, - 2 ) and (x₂, y₂ ) = Q (4, 3 )

PQ = [tex]\sqrt{(4-(-4))^2+(3-(-2))^2}[/tex]

     = [tex]\sqrt{(4+4)^2+(3+2)^2}[/tex]

     = [tex]\sqrt{8^2+5^2}[/tex]

     = [tex]\sqrt{64+25}[/tex]

     = [tex]\sqrt{89}[/tex]

     ≈ 9.4 ( to 1 dec. place )

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