We can factor
on the left hand side to get
![\tan(x)(\sec(x)-2)=0](https://tex.z-dn.net/?f=%5Ctan%28x%29%28%5Csec%28x%29-2%29%3D0)
A factored equation equals zero if and only if at least one of the factor equals zero. So, this equation equals zero if and only if
![\tan(x)=0](https://tex.z-dn.net/?f=%5Ctan%28x%29%3D0)
or
![\sec(x)-2=0](https://tex.z-dn.net/?f=%5Csec%28x%29-2%3D0)
In the first case, we have
![\tan(x)=0\iff x=k\pi](https://tex.z-dn.net/?f=%5Ctan%28x%29%3D0%5Ciff%20x%3Dk%5Cpi)
In the second case, we have
![\sec(x)-2=0 \iff \dfrac{1}{\cos(x)}=2 \iff \cos(x)=\dfrac{1}{2}](https://tex.z-dn.net/?f=%5Csec%28x%29-2%3D0%20%5Ciff%20%5Cdfrac%7B1%7D%7B%5Ccos%28x%29%7D%3D2%20%5Ciff%20%5Ccos%28x%29%3D%5Cdfrac%7B1%7D%7B2%7D)
And so, the solutions are
![x=\pm\dfrac{\pi}{3}+2k\pi](https://tex.z-dn.net/?f=x%3D%5Cpm%5Cdfrac%7B%5Cpi%7D%7B3%7D%2B2k%5Cpi)
Answer:
The equation of the form P(n) is:
P(n)=-0.002n+75
Step-by-step explanation:
From the information provided, you have two points: (3000, 69) and (7000, 61). With this, you can find the slope using the following formula:
m=(p1-p2)/(n1-n2)
m=slope
p1=69
p2=61
n1=3000
n2=7000
m=(69-61)/(3000-7000)
m=8/-4000
m=-0.002
Now that you have the slope, you can find the the equation of the form P(n):
P(n)=-0.002(n-3000)+69
P(n)=-0.002n+6+69
P(n)=-0.002n+75
According to this, the answer is that the equation of the form P(n) is:
P(n)=-0.002n+75
Answer:
The answer is 8a-28b+15c
Step-by-step explanation:
Answer:
The mountain is 7,626 feet tall.
Step-by-step explanation:
3,813 x 2 =7,626 So the mountain is 7,626 feet tall.