How do I graph y = 2x + 7?
1 answer:
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If the numbers were 50 divided by 12 this is how you would answer it. And I showed the reduced answer too.
Answer:
See below and attached
Step-by-step explanation:
<u>As per the graph we have:</u>
- Coordinates of JL are J(-7, 4), L(-4, 0)
- Coordinates of MP are M(-10, 8), P(-1, -4)
<u>Slope formula is:</u>
- m = (y₂ - y₁)/(x₂ - x₁)
<u>Slope of JL:</u>
- (0 - 4)/(-4-(-7)) = - 4 / 3
<u>Slope of MP:</u>
- (-4 -8)/(-1- (-10)) = -12 / 9 = - 4/3
The correct option is (b) h=0.5cos(/6t)+9.5.
The equations can be used to model the height as a function of time, t, in hours is h=0.5cos(/6t)+9.5.
The following is a presentation of the cosine function's generic form;
y = a + cos(bx - c) + d
amplitude = a
b = cycle speed
Calculation for the model height;
The height, h (feet) of the tip of the hour hand of a wall clock varies from 9 feet to 10 feet.
Obtain amplitude 'a' as
The time 'T' is calculated as-
Now, calculate 'd'
Therefore, with the height as a function of time, t, expressed in hours, can be modeled by the following equations:
h=0.5cos(/6t)+9.5
To know more about the general equation of a cosine function, here
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The complete question is-
The height, h, in feet of the tip of the hour hand of a wall clock varies from 9 feet to 10 feet. Which of the following equations can be used to model the height as a function of time, t, in hours? Assume that the time at t = 0 is 12:00 a.m.
A. h=0.5cos(/12t)+9.5
B. h=0.5cos(/6t)+9.5
C. h=cos(/12t)+9
D. h=cos(/6t)+9