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

Respuesta :

Answer:

PQ ≈ 9.4 cm

Step-by-step explanation:

Calculate the distance d using the distance formula

d = √ (x₂ - x₁ )² + (y₂ - y₁ )²

with (x₁, y₁ ) = P(- 4, - 2) and (x₂, y₂ ) = Q(4, 3)

PQ = [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 cm ( to 1 dec. place )

Answer:

the square root of 89 is 9.4 so thats your answer

Step-by-step explanation:

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