WE has endpoints atW(10, 2) and E(5, -3).How long is WE?

Mathematics

1 answer:

s2008m [1.1K]3 years ago

8 0

Answer:

$WE=5\sqrt{2}$

Step-by-step explanation:

Distance between two points:

The distance between $(x_1,y_1)$ and $(x_2,y_2)$ is given by $=\sqrt{(y_2-y_1)^2+(x_2-x_1)^2$

Hence distance between $W(10,2)$ and $E(5,-3)$

$WE=\sqrt{(5-10)^2+(-3-2)^2}=\sqrt{(-5)^2+(-5)^2}=\sqrt{25+25}\\\\WE=\sqrt{50}=5\sqrt{2}$

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