Answer:
Option 1. Down 2, right pi over 3.
Step-by-step explanation:
In a given function f(x) = -7 sin(3x+π)-2 we have to find the shift horizontally and vertically.
As we know in a sine equation represented as y = a sin(bx+c) +d
Amplitude of the wave = a
Period = ![\frac{2\pi }{b}](https://tex.z-dn.net/?f=%5Cfrac%7B2%5Cpi%20%7D%7Bb%7D)
Horizontal shift = ![\frac{\pi }{b}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Cpi%20%7D%7Bb%7D)
Vertical shift = d
From the given sine function we can get the following values
a = 7
period = ![\frac{2\pi }{3}](https://tex.z-dn.net/?f=%5Cfrac%7B2%5Cpi%20%7D%7B3%7D)
horizontal shift =
in the right side since it's with positive sign.
Vertical shift = -2 down with 2 ( since it's with negative sign)
Therefore Option 1 is the correct one.
Step-by-step explanation:
The solution is more detailed
Answer:
Step-by-step explanation:
Perimeter is simply length + width. They gave us that the length is 2 feet plus 2 times the width:
![25=(2w+2)+W](https://tex.z-dn.net/?f=25%3D%282w%2B2%29%2BW)
Subtract 2 from both sides to get 23 = 2w + w
Combine like terms to get 23 = 3w
Divide by 3 to get
feet
Answer:
a) -27 a³ b⁶
Step-by-step explanation:
<u><em>Explanation:-</em></u>
Given ( -3 ab² )³
By using (ab )ⁿ = aⁿ bⁿ
( -3 ab² )³ = (-3)³ a³ (b²)³
Again , using formula ![(a^{m} )^{n} = a^{mn}](https://tex.z-dn.net/?f=%28a%5E%7Bm%7D%20%29%5E%7Bn%7D%20%3D%20a%5E%7Bmn%7D)
= -27 a³ b⁶
Answer:
no
Step-by-step explanation:
ok