When you reflect across the y axis the y coordinate stays the same and the x coorrdinate changes sign so x = -1 goes to x = 1
Answer point B is (1,6)
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]
Looking at y=-%285%2F2%29x we can see that the equation is in slope-intercept form y=mx%2Bb where the slope is m=-5%2F2 and the y-intercept is b=0 note: y=-%285%2F2%29x really looks like y=-%285%2F2%29x%2B0
Since b=0 this tells us that the y-intercept is .Remember the y-intercept is the point where the graph intersects with the y-axis
So we have one point
Now since the slope is comprised of the "rise" over the "run" this means
slope=rise%2Frun
Also, because the slope is -5%2F2, this means:
rise%2Frun=-5%2F2
which shows us that the rise is -5 and the run is 2. This means that to go from point to point, we can go down 5 and over 2
So starting at , go down 5 units
and to the right 2 units to get to the next point
Now draw a line through these points to graph y=-%285%2F2%29x
So this is the graph of y=-%285%2F2%29x through the points
Hope this helps
Please give me Brainliest
If my above assumption is correct, we can easily find the area of the left side of the rectangle by finding the area of 3 things. The first is the area of the entire region.
At = (0.8)(1.0+1.4) = 1.92
Next we need the area of the circle. Which is pi*r^2, with r being height divided by two. (0.4)
C = 0.502
Finally we need to find the area of the rectangle left region. Which is basically the rectangle from the center of the circle region to the end of the left of the entire region. This is just (1.0)(0.8) = 0.8
Finally we can find the area of the light blue area by just subtracting half the area of the circle (dark blue) from the area we just calculated.
0.8 - (0.502 / 2) = 0.549
Now for the probability we do this area divided by total area.
0.549/1.92 = 0.285 or about 0.29 which is just 29%
