Question

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

Answer 1

The points are on a horizontal line, parallel to the x-axis. The absolute value of −3 represents the distance from (−3, −5) to the y-axis, and the absolute value of 9 represents the distance from the y-axis to (9, −5).

Answer 2

Answer: find the answer in the explanation

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).