First understand that this is a linear graph. Find 2 points on the graph. We can use (0,1) and (3,-3).
Look at how much the x increases, in this case the x value increases by 0+3, so 3.
Then see how much the y value increases (make sure to evaluate them in the same order) 1 + (-3) = -2.
So you know that the y value decreases by 2 units for every 3 unit increase in x. Therefore the slope is y=(-2/3)x
Then figure out what you add to the end. The y intercept is (0,1), so add 1 to the end of y=(-2/3)x to move it up.
Your resulting eq is y=(-2/3)x+1
The answer is 1719.09 because that’s the total
Answer:
See below
Step-by-step explanation:
The initial ordered-pairs are 
We have a rotation of 90 degrees counterclockwise with respect to origin
Note. Previously the points were

After the rotation, we have

Thus, 
Then shifting horizontally to the right 2 units, we get ΔA'B'C'
Thus,

Answer:
a) Depth changing rate of change is
, When the water is 6 meters deep
b) The width of the top of the water is changing at a rate of
, When the water is 6 meters deep
Step-by-step explanation:
As we can see in the attachment part II, there are similar triangles, so we have the following relation between them
, then
.
a) As we have that volume is
, then
, so we can derivate it
due to the chain rule, then we clean this expression for
and compute with the knowns
, is the depth changing rate of change when the water is 6 meters deep.
b) As the width of the top is
, we can derivate it and obtain
The width of the top of the water is changing, When the water is 6 meters deep at this rate
Answer:
c.
Step-by-step explanation:
Law of sines
=
A and B are angles.
a and b are sides opposite corresponding angles.