Final answer:
To find the length of the other part of a rope initially (2x + 5) meters long when one part is (6x - 4) meters, use subtraction to get the other part length which is (-4x + 9) meters.
Step-by-step explanation:
We need to determine the length of the other part of the rope when it is cut into two pieces. The original length of the rope is given as (2x + 5) meters and one part is (6x - 4) meters. To find the length of the other part, subtract the length of the piece cut from the total length:
Length of the other part = Total length - Length of one part
Length of the other part = (2x + 5) - (6x - 4)
Length of the other part = 2x + 5 - 6x + 4
Length of the other part = -4x + 9
Therefore, the length of the other part of the rope is (-4x + 9) meters.