Step-by-step explanation:
A transformation(s) of a parent function is
![f(x) = a(bx - c) + d](https://tex.z-dn.net/?f=f%28x%29%20%3D%20a%28bx%20-%20c%29%20%2B%20d)
where a is vertical compression/stretched or reflection
B is horinzotnal compression/stretch or reflection
C is horinzontal translation
D is vertical translation.
The parent function is
![y = \tan(x)](https://tex.z-dn.net/?f=y%20%3D%20%20%5Ctan%28x%29%20)
First, we stretched this by 7
so we have
![y = 7 \tan(x)](https://tex.z-dn.net/?f=y%20%3D%207%20%5Ctan%28x%29%20)
We need to shift this 12 units to the left so we have
![y = 7 \tan(x + 12)](https://tex.z-dn.net/?f=y%20%3D%207%20%5Ctan%28x%20%2B%2012%29%20)
We need to reflect this across x axis so we get
![y = - 7 \tan(x + 12)](https://tex.z-dn.net/?f=y%20%3D%20%20-%207%20%5Ctan%28x%20%2B%2012%29%20)
We need to shift this downwards 15 so we get
![y = - 7 \tan(x + 12) - 15](https://tex.z-dn.net/?f=y%20%3D%20%20-%207%20%5Ctan%28x%20%2B%2012%29%20%20-%2015)
or because tan is a odd function you could say
![7 \tan( - (x + 12) ) - 15](https://tex.z-dn.net/?f=7%20%5Ctan%28%20-%20%28x%20%2B%2012%29%20%29%20-%2015)
![7 \tan( - x - 12) - 15](https://tex.z-dn.net/?f=7%20%5Ctan%28%20-%20x%20%20-%2012%29%20%20-%2015)
The answer is 5+0.2+0.06+0.008+0.0004
Answer:
a n = -3+(n-1)-30
Step-by-step explanation:
-3 - 30 = -33
-33 - 30 = -63
-63 - 30 = -93
The common difference here is -30. d = -30
The explicit formula is a n = a1 + (n-1)d
The answer is there are 6 possible outcomes: {1, 2, 3, 4, 5, 6} Hope this helps!
The addison see to the horizon at 2 root 2mi.
We have given that,Kaylib’s eye-level height is 48 ft above sea level, and addison’s eye-level height is 85 and one-third ft above sea level.
We have to find the how much farther can addison see to the horizon
<h3>Which equation we get from the given condition?</h3>
![d=\sqrt{\frac{3h}{2} }](https://tex.z-dn.net/?f=d%3D%5Csqrt%7B%5Cfrac%7B3h%7D%7B2%7D%20%7D)
Where, we have
d- the distance they can see in thousands
h- their eye-level height in feet
For Kaylib
![d=\sqrt{\frac{3\times 48}{2} }\\\\d=\sqrt{{3(24)} }\\\\\\d=\sqrt{72}\\\\d=\sqrt{36\times 2}\\\\\\d=6\sqrt{2}....(1)](https://tex.z-dn.net/?f=d%3D%5Csqrt%7B%5Cfrac%7B3%5Ctimes%2048%7D%7B2%7D%20%7D%5C%5C%5C%5Cd%3D%5Csqrt%7B%7B3%2824%29%7D%20%7D%5C%5C%5C%5C%5C%5Cd%3D%5Csqrt%7B72%7D%5C%5C%5C%5Cd%3D%5Csqrt%7B36%5Ctimes%202%7D%5C%5C%5C%5C%5C%5Cd%3D6%5Csqrt%7B2%7D....%281%29)
For Addison h=85(1/3)
![d=\sqrt{\frac{3\times 85\frac{1}{3} }{2} }\\d\sqrt{\frac{256}{2} } \\d=\sqrt{128} \\d=8\sqrt{2} .....(2)](https://tex.z-dn.net/?f=d%3D%5Csqrt%7B%5Cfrac%7B3%5Ctimes%2085%5Cfrac%7B1%7D%7B3%7D%20%7D%7B2%7D%20%7D%5C%5Cd%5Csqrt%7B%5Cfrac%7B256%7D%7B2%7D%20%7D%20%5C%5Cd%3D%5Csqrt%7B128%7D%20%5C%5Cd%3D8%5Csqrt%7B2%7D%20.....%282%29)
Subtracting both distances we get
![8\sqrt{2}-6\sqrt{2} =2\sqrt{2}](https://tex.z-dn.net/?f=8%5Csqrt%7B2%7D-6%5Csqrt%7B2%7D%20%20%3D2%5Csqrt%7B2%7D)
Therefore, the addison see to the horizon at 2 root 2mi.
To learn more about the eye level visit:
brainly.com/question/1392973