passpadi

2008

Mathematics

67ca00ce0c643c71d77dee1f

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

A.

√5

B.

2√3

C.

√20

D.

√50

Correct Answer: √5

Explanation

L ( x 1 −1 y 1 −6 ) m L ( x 2 −3 y 2 −5 ) D = √(x2 −x1 )2 +(y2 −y1 )2 D = √(−3−(−1)2+(−5−(−6)2 D =√(−3+1)2 +(−5+6)2 D = √(−2)2 +12 ) D = √(4+1) D = √5

L ( x 1 −1 y 1 −6 ) m L ( x 2 −3 y 2 −5 ) D = √(x2 −x1 )2 +(y2 −y1 )2 D = √(−3−(−1)2+(−5−(−6)2 D =√(−3+1)2 +(−5+6)2 D = √(−2)2 +12 ) D = √(4+1) D = √5
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