Answer:
StartRoot 2 squared + 6 squared EndRoot
Step-by-step explanation:
we have
A(4,3) and B(-2,1)
we know that
the formula to calculate the distance between two points is equal to
substitute the given values
therefore
StartRoot 2 squared + 6 squared EndRoot
2 weeks (14 days) X 23.93 hours a day = 335.02 hours in 2 weeks
so 14 x 23.93 = 335.02
hope I helped:)
Answer:
a) W₁ = 78400 [J]
b)Wt = 82320 [J]
Step-by-step explanation:
a) W = ∫ f*dl general expression for work
If we have a chain with density of 10 Kg/m, distributed weight would be
9.8 m/s² * 10 kg = mg
Total length of th chain is 40 m, and the function of y at any time is
f(y) = (40 - y ) mg where ( 40 - y ) is te length of chain to be winded
At the beggining we have to wind 40 meters y = 0 at the end of the proccess y = 40 and there is nothing to wind then:
f(y) = mg* (40 - y )
W₁ = ∫f(y) * dy ⇒ W₁ = ∫₀⁴⁰ mg* (40 - y ) dy ⇒ W₁ = mg [ ∫₀⁴⁰ 40dy - ∫₀⁴⁰ ydy
W₁ = mg [ 40*y |₀⁴⁰ - 1/2 * y² |₀⁴⁰ ⇒ W₁ = mg* [ 40*40 - 1/2 (40)² ]
W₁ = mg * [1/2] W₁ = 10*9,8* ( 800 )
W₁ = 78400 [J]
b) Now we can calculate work to do if we have a 25 block and the chain is weightless
W₂ = ∫ mg* dy ⇒ W₂ = ∫₀⁴⁰ mg*dy ⇒ W₂ = mg y |₀⁴⁰
W₂ = mg* 40 = 10*9.8* 40
W₂ = 3920 [J]
Total work
Wt = W₁ + W₂ ⇒ Wt = 78400 + 3920
Wt = 82320 [J]
Given -:
EF = 2X-7
FG = 4X-20
EG = 21
FIND OUT
EF =?
FG = ?
To proof
as given in the question
we have the value of EF = 2X-7 , FG = 4X-20 and EG = 21
Thus we have
EG = EF + FG
21 = 2X-7 + 4X- 20
21 = 6x - 27
48 = 6x
x = 8
Hence proved
Now put this value
Now
Hence proved
