Explain why |−3| + |9| represents the distance between the points (−3, −5) and (9, −5).

find the answer in the explanation

Step-by-step explanation:

The distance between the points (−3, −5) and (9, −5). Can be calculated by using the formula

L = sqrt( ( Y2 - Y1)^2 + (X2 - X1)^2)

L = sqrt ( ( -5+ 5)^2 + ( 9 +3 )^2)

L = sqrt (0 + 144)

L = sqrt ( 144 )

L = 12

|−3| + |9| = 12 because they are sum of two absolute values number.

Absolute values numbers are always positive.

The sum of the two absolute numbers therefore represents the distance between the points (−3, −5) and (9, −5).

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