This is what I got for it if it helps
Answer:
Workdone = 2450Joules
Step-by-step explanation:
Let the top of the aquarium be at height 0.
Let the bottom of the aquarium be at height 1
F = mg = 2p◇x × g
F= 2000◇x × 9.8
F = 19600◇x
Workdone = 19600xdx
Total workdone = Integral (limits 0.5 -0)19600×dx
Total work = [9800x^2]^0.5
Total work= 9800× 0.5^2 = 2450 Joules
Answer:
- reflection in x = 1
- translation up 2
Step-by-step explanation:
The orientation of B is the opposite of the orientation of A, so a reflection is involved. The smallest angle is at the bottom in both figures, and the largest angle is on the right in A and the left in B, so the reflection is left-right, rather than up-down.
The point midway between the largest angle vertices is on the vertical line x=1, so that line can be used for reflection. Reflecting A across that line will put its large-angle vertex at (3, 0), so a translation up 2 units is also needed.
The reflection on x=1 and translation up 2 can be done in either order.
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<em>Additional comment</em>
A combination of reflection and translation is called a "glide reflection." Our choice of x = 1 as the line of reflection takes care of any horizontal translation that would be required if a different vertical line were used. For example, reflection across the y-axis would require a subsequent translation up 2 and right 2.
Answer:
y+11=-
(x-4)
Step-by-step explanation:
since the equation is perpendicular to y=4x-2, m=-1/4 (negative reciprocal). (x_1,y_1)=(4,-11), plug all the values into the equation y- y_1 = m(x-x_1) and we get y+11=-
(x-4)