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Shtirlitz [24]
3 years ago
5

Calculate the distance between the points P=(-1, -1) and L=(6, -9) in the coordinate plane.

Mathematics
1 answer:
Over [174]3 years ago
6 0

Answer:

≈ 10.63

Step-by-step explanation:

Calculate the distance d using the distance formula

d = \sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2    }

with (x₁, y₁ ) = P(- 1, - 1) and (x₂, y₂ ) = L(6, - 9)

d = \sqrt{(6-(-1))^2+(-9-(-1))^2}

   = \sqrt{(6+1)^2+(-9+1)^2}

   = \sqrt{7^2+(-8)^2}

   = \sqrt{49+64}

   = \sqrt{113} ≈ 10.63 ( to the nearest hundredth )

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