Multiply (h+3t= -10) to get 2h+6t=-20.
(<span>2h+6t=-20</span>) - (2h+t=-8) to get 5t=-28
therefore t=-5.6
put t into any equation. i.e (2h-t=-8) = 2h+5.6=-8
therefore 2h = -13.6
h=-6.8
Answer:
C. No, the slopes are not the same
Answer:
28 I think
Step-by-step explanation:
12-5=7
7x4=28
X= 0.2034394 or 14.50799581 . I hope this helps
Answer:
<u><em>y = -190 cos(π t / 120) + 195</em></u>
Step-by-step explanation:
<em>General form of a sinusoidal function: y = A cos(Bt - C) + D
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<em>Now generally a cosine function starts at the maximum value, so to start at the minimum value, flip the cosine function by making it negative.
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<em>A is the amplitude of the curve and will be the radius of the ferris wheel. Therefore, A = 380 / 2 = 190 feet.
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2π / B is the period of the curve and will be the time to complete one full rotation. The time to complete one full rotation is given as 4 minutes. Convert this into seconds to get period = 4 minutes * (60 seconds / minute) = 240 seconds. Therefore, B = 2π / period = 2π / 240 seconds = π / 120.
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C/B is the phase shift, or horizontal shift of the graph. Since the negative cosine function already starts at the minimum value, there is no phase shift so C/B = 0, meaning C = 0.
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D is the vertical shift and will be the height of the center of the ferris wheel. Therefore, D = 195 feet.
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Your final function will be:</em>
<u><em>y = -190 cos(π t / 120) + 195</em></u>
