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.

y = 5x + 17

step-by-step explanation:

a perpendicular line will be the opposite reciprocal slope of the given equation.   the slope given is -1/5 so the opposite reciprocal is 5

find b:

7 = 5 (-2) + b

7 = -10 + b

17 = b

write equation

y = 5x + 17

the answer is b: 18

step-by-step explanation:

use the pythagorean theorem to .

a^2+b^2=c^2

plug 18 for "r"

the 2 legs are 18 and 24

18^2+24^2=c^2

324+576=c^2

900=c^2

c=30

30-12=18

18 is the radius

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