Acable is 84 meters long, it is cut into two pieces so that one piece is 18 meters longer than the other. find the length of each piece of cable.

The small cable is 33 meters and the large one is 51 meters.

Let the length of the smallest cable be represented by x

Therefore, the bigger cable will be x+18

The equation to solve the question will be:

x + x+18 = 84

2x + 18 = 84

Collect like terms

2x = 84 - 18

2x = 66

x = 66/2

x = 33

The small cable is 33 meters

The large cable will be:

= x + 18

= 33 + 18

= 51 meters.

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Long Piece: x + 18

Short Piece: x

(x) + (x + 18) = 84

2x + 18 = 84

2x = 66

x = 33

Long Piece: x + 18  = (33) + 18   = 51

33 meters and 51 meters

the transverse axis of a hyperbola is the line that contains the two vertices and the two focuses.

in this example (hyperbola of equation x^2/2 - y^2/4 = 1), the transverse axis is the  x-axis  . 

step-by-step explanation: