Apipe is split into four pieces with each piece twice as long as the previous one. the longest piece is 2 meters. how long is the the rope.

3.75 meters

Step-by-step explanation:

We need to work backwards.

We know that each length is half of the one prior (if we work from the longest to shortest)

So if the longest is 2 meters

The next would be 1 meter

The next would be .5

the last would be .25

The rope was 3.75 meters

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