A10 ft chain weighs 45 lb and hangs from a ceiling. find the work done (in ft-lb) in lifting the lower end of the chain to the ceiling so that it's level with the upper end. ft-lb.

work done = 14478ft²-lb/s²

Step-by-step explanation: The work done is equal to the rest energy of the chain.

The rest energy is also the potential energy Mass* hieght*acceleration due to gravity.

But in this case we have to look for our acceleration due to gravity in ft/s².

I googled it an I got 32.174ft/s²

So now let's substitute

Work done = m*g*h

= 45*32.174*10=14478ft²lb/s².

b

step-by-step explanation:

given

- 2 (3x + 12y - 5 - 17x - 16y + 4 )

simplify the parenthesis by collecting like terms

= - 2 (- 14x - 4y - 1) ← distribute the parenthesis by - 2

= 28x + 8y + 2 → b

given that triangle abc is transformed two times to get triangle

a"b"c"

first abc is transformed in to a'b'c' as follows:

the coordinates of a are (1,-1) and transformed into a'(-1,1)

similarly b (4,-2) became b'(-4,2) and

c(7,-2) became c'(-7,2)

i.e. (x,y) becomes (-x,-y)

this is nothing but reflection about a point here origin.

thus first transformation is reflection on the origin.

next is exactly shifting 3 units down

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