Answer:
b=2
Step-by-step explanation:
-12+3b-1=-5-b
Combine like terms
-13 +3b = -5-b
Add b to each side
-13+3b+b = -5-b+b
-13+4b = -5
Add 13 to each side
-13+13 +4b = -5+13
4b = 8
Divide by 4
4b/4 = 8/4
b = 2
Answer:
false
Step-by-step explanation:
-1/8 = -0.125
-1/10 = -0.1<u>00</u>
as it is negative
-0.125 < -0.1
so it is false
The equation can be used to model the height as a function is
where t is time, the second option is correct.
<h3>What is trigonometry?</h3>
Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.
We know the general equation for the cosine function:
![\rm y = A\ cos(bx-c)+d](https://tex.z-dn.net/?f=%5Crm%20y%20%3D%20A%5C%20cos%28bx-c%29%2Bd)
Where A is the amplitude
We have a wall clock that varies from 9 feet to 10 feet.
The value of 'A' is given by:
![\rm A = \frac{10-9}{2} \Rightarrow 0.5](https://tex.z-dn.net/?f=%5Crm%20A%20%3D%20%5Cfrac%7B10-9%7D%7B2%7D%20%5CRightarrow%200.5)
b is the cycle speed, we know:
(T is period)
![\rm12 = \frac{2\pi}{b}](https://tex.z-dn.net/?f=%5Crm12%20%3D%20%5Cfrac%7B2%5Cpi%7D%7Bb%7D)
![\rm b=\frac{\pi}{6}](https://tex.z-dn.net/?f=%5Crm%20b%3D%5Cfrac%7B%5Cpi%7D%7B6%7D)
The value of d is given by:
![\rm d = \frac{10+9}{2}](https://tex.z-dn.net/?f=%5Crm%20d%20%3D%20%5Cfrac%7B10%2B9%7D%7B2%7D)
d = 9.5
The equation can be modeled:
(c =0 and y =h)
Thus, the equation is ![\rm h = 0.5\ cos(\frac{\pi}{6} t)+9.5](https://tex.z-dn.net/?f=%5Crm%20h%20%3D%200.5%5C%20cos%28%5Cfrac%7B%5Cpi%7D%7B6%7D%20t%29%2B9.5)
Know more about trigonometry here:
brainly.com/question/26719838
The answer is A,
Have a nice day :)