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Find the distance between the points X and Y shown in the figure.

Find the distance between the points X and Y shown in the figure.-example-1
User Chakwok
by
6.7k points

1 Answer

4 votes

Answer:

XY ≈ 14.87 units

Explanation:

Calculate the distance using the distance formula

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

with (x₁, y₁ ) = X(- 6, 3) and (x₂, y₂ ) = Y(8, - 2)

d =
√((8+6)^2+(-2-3)^2)

=
√(14^2+(-5)^2)

=
√(196+25)

=
√(221)

≈ 14.87 ( to 2 dec. places )

User Julien Vavasseur
by
7.4k points