Answer:
d= 3h-6
Step-by-step explanation:
h= d/3+2
h-2= d/3
d= 3(h-2)= 3h-6
Answer:
Step-by-step explanation:
Given that:
The height of the dock (h) = 6
Let represent d to be the distance between the boat and the dock
Let the length of the rope between the boat and the drum be denoted by (l)
Then, the rate of change for the length of the rope be:
dl/dt = -5 ft/s
Using Pythagoras rule to determine the relationship between these values, we have:



We relate to: 
From the question;
l = 34,
So to find
, we get;




d = 33.46
So, we have:




Based on the information given, it can be noted that RUTS is a rectangle because the opposite sides are parallel and have equal lengths.
<h3>
Proving the rectangles.</h3>
RU = ST, UT = RS because the opposite sides are parallel and have equal length.
STU and SRU are right angles because they've 90°. Also, URS will be equal to STU. Lastly, USR = SUT because the angles are both alternate angles.
Learn more about rectangles on:
brainly.com/question/25789940
3-4z=-5+8z
Add 5 to both sides
8-4z=8z
Add 4z to both sides
8=12z
Divide both sides by 12
z=12/8
Simplify
z=3/2