Acable that is 200 ft lo g is cut into two pieces so that one piece is 12 ft longer than the other. how long is each piece?

Hi there! 

The length of the shortest cable is 94 feet,
The length of the longest cable is 106 feet. 

Explanation
Let the length of the shortest cable be represented by x
The longest cable can be represented by x + 12

Now we can set up (and solve) an equation:
Length shortest cable + Length longest cable = 200
x + (x + 12) = 200
x + x + 12 = 200

Collect terms
2x + 12 = 200

Subtract 12
2x = 188

Divide by 2
x = 188 / 2 = 94

Therefore, the length of the shortest cable is 94 feet,
The length of the longest cable is 94 + 12 = 106 feet. 

~ Hope this helps you ~

X= length of one piece
x+12= length of other piece

x + (x+12)= 200
combine like terms
2x + 12= 200
subtract 12 from both sides
2x= 188
divide both sides by 2
x= 94 ft length of one piece

Length of Other Piece
=x+12
=94 + 12
=106 ft length of other piece

ANSWER: The two lengths are 94 feet and 106 feet.

Hope this helps! :)

i believe it's a.

i'm not sure on this one, most likely correct.

good luck!