Answer:
x = 9
Step-by-step explanation:
y = 2/3x - 6
If the y point is 0, then plug that number into the equation and solve for x.
0 = 2/3x - 6
Add 6 to both sides of the equation.
6 + 0 = 2/3x - 6 + 6 or 6 = 2/3x
Multiply both sides by 3.
3 x 6 = 2/3x x 3 or 18 = 2x
Divide both sides by 2
18/2 = 2x / 2 or 9 = x
Answer:
<h3>the horizontal value in a pair of coordinates: how far along the point is. the x coordinate is always written first in an ordered pair of coordinates (x,y) such as (12,5). in this example, the value "12" is the x coordinate. also called abscissa</h3>
Step-by-step explanation:
i hope it 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
</em>
<em>
</em>
<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.
</em>
<em>
</em>
<em>A is the amplitude of the curve and will be the radius of the ferris wheel. Therefore, A = 380 / 2 = 190 feet.
</em>
<em>
</em>
<em>
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.
</em>
<em>
</em>
<em>
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.
</em>
<em>
</em>
<em>
D is the vertical shift and will be the height of the center of the ferris wheel. Therefore, D = 195 feet.
</em>
<em>
</em>
<em>
Your final function will be:</em>
<u><em>y = -190 cos(π t / 120) + 195</em></u>
Answer:
Figure 1:
Area = 390ft^2
Figure 2:
Area = 325.17 ft^2
Answer:
It b
Step-by-step explanation: