X+2y+z=4 2x-y+4z =-8 -3x+y-2z=-1
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The best way to approach this problem is to look at the graph of the given function. Replace values of x from 1 to 24 to indicate the numbers of hours in a day. As seen on the graph, there is only one point where the port is at high tide. That would be at 1:00 am.
Looking at the graph, it would be safe for the boats to be in the port when the graph levels off at around 10 to 24. That's from 10 am to before 12 midnight. Then, they would have to stay away between 12 midnight to before 10 am.
Looking at the graph, it would be safe for the boats to be in the port when the graph levels off at around 10 to 24. That's from 10 am to before 12 midnight. Then, they would have to stay away between 12 midnight to before 10 am.
- Since the triangles are similar, the slope of line segment AD and line segment BD are the same.
- The initial value and slope of the graph are 66 and 44 respectively.
Considering the two right-angled triangles (ΔABD and ΔBCE) with the following points A(2, 154), B(1, 110), D(2, 110) and E(1, 66).
Since the triangles are similar, the slope of line segment AD is given by:
Tanθ = AD/BE
Tanθ = (154 - 110)/(110 - 66)
Tanθ = 44/44
Tanθ = 1.
Also, the slopes of line segment BD is given by:
Tan∅ = BD/CE
Tan∅ = (2 - 1)/(1 - 0)
Tan∅ = 1/1
Tan∅ = 1.
Therefore, the slope of line segment AD and line segment BD are the same because θ is equal to ∅.
<h3>What are the initial value and slope of the graph?</h3>By critically observing the graph, we can logically deduce that the initial value of this graph is 66 and it represents the shark's distance at the initial time (0 minute).
For the slope, we have:
Slope = Δy/Δx
Slope = (154 - 66)/(2 - 0)
Slope = 88/2
Slope = 44.
Read more on slope here: brainly.com/question/17601248
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<u>Complete Question:</u>
The graph shows the depth, y, in meters, of a shark from the surface of an ocean for a certain amount of time, x, in minutes:
Part A: Describe how you can use similar triangles to explain why the slope of the graph between points A and B is the same as the slope of the graph between points A and C.
Part B: What are the initial value and slope of the graph, and what do they represent?
