Aboard, 56 cm long is cut into three pieces such that the second piece is twice as long as the first and the third is 6 cm longer than the second. find the length of the shorter piece.

  10 cm

Step-by-step explanation:

Short Piece: x

Second Piece: 2x

Third Piece: 2x + 6

Short + Second +  Third = 56

  x     +     2x      + 2x + 6 = 56

                             5x + 6 = 56

                             5x       = 50

                               x        = 10

x = ±sqrt(10)

step-by-step explanation:

5 - 2x² = -15

subtract 5 from each side

5-5 - 2x² = -15-5

-2x^2   = -20

divide by -2 on each side

-2x^2   /-2= -20/-2

x^2 =10

take the square root on each side

sqrt(x^2 )=±sqrt(10)

x = ±sqrt(10)

check:

5 - 2x² = -15

+sqrt(10)

5 - 2(sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15

-sqrt(10)

5 - 2(-sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15

answer: 800

step-by-step explanation: