Arope 20.6 meters long is cut into two pieces. if the length of one piece of rope is 2.8 meters shorter than the length of the other, what is the length, in meters, of the longer piece of rope? if x > y and y > z, which of the following represents thethe greatest number? a) 7.5.(b) 8.9.(c) 9.9.(d) 10.3.(e) 1 1.7.

Option 'E' is correct.

Step-by-step explanation:

Since we have given that

If the length of one piece of rope is 2.8 meters shorter than the length of the other.

Let the length of first piece be 'x'.

Let the length of second piece be 'x-2.8'

Total length of rope = 20.6

So, According to question, it becomes,

So, the greatest number of the length of part of rope is 11.7 m.

Hence, Option 'E' is correct.

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

the answer would be  

a.

3: 1

step-by-step explanation: