Solution:
First i'm going to divide the graph into 3 parts. Linear, Quadratic and Horizontal graph.
<u>Linear:</u>

<u>Quadratic:</u>

<u>Horizontal:</u>

Answer:

<em>Hope this was helpful.</em>
The speed upstream is the difference between the boat speed and the current speed. It is (12 mi)/(4 h) = 3 mph.
The speed downstream is the sum of the boat speed and the current speed. It is (32 mph)/(4 h) = 8 mph.
The speed of the boat is the average of these: (3 + 8)/2 = 5.5 mph.
The speed of the current is that less the difference: 5.5 - 3 = 2.5 mph.
_____
<u>Check</u>
Boat + Current = 5.5 + 2.5 = 8 mph
Boat - Current = 5.5 - 2.5 = 3 mph
180-106=74
X is congruent to 2y
x=74
74/2= 37
y=37
(4z+6) is congruent to 106
106-6= 100
100/4 = 25
z=25
2x²+y²-6x+2y-45=0
center:(3/2,-1)
vertex1:(3/2,-1+√202/2)
vertex2:(3/2,-1-√202/2)
focus1:(3/2,-1+√101/2)
focus2:(3/2,-1-√101/2)
I hope this helps!!!!!!!!!!
Answer:
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Step-by-step explanation:
Tan graphs are a bit different to sin and cos graphs: they don't have an amplitude.
If you look at a tan graph, it exists between assymptotes and has no maximum or minimum value. In this case, the 2.5 acts similar to a dilation factor and makes the graph skinnier or wider.
You were right about the period: it is just pi, not 2 pi like sin and cos. Again, if you look at the graph, the assymptotes occur every period, which is only pi.
Hope that helped : )