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Calculate the distance between points L(-1, -6) and M(-3, -5...

Calculate the distance between points L(-1, -6) and M(-3, -5)

A.

√5

B.

2√3

C.

√20

D.

√50

View answer & explanation

Correct answer is A

L $\begin{pmatrix} x_1 & y_1 \\ -1 & -6 \end{pmatrix}$ m L $\begin{pmatrix} x_2 & y_2 \\ -3 & -5 \end{pmatrix}$

D = $\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$

D = $\sqrt{(-3 - (-1)^2 + (-5 -(-6)^2}$

D = $\sqrt{(-3 + 1)^2 + (-5 + 6)^2}$

D = $\sqrt{(-2)^2 + 1^2}$

D = $\sqrt{4 + 1}$

D = $\sqrt{5}$

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