My first answer. Lots of parts for five minutes. Took me that long to decode the question. It looks like your multiplying where you're taking roots.
![(\sqrt[4]{7})^5 = (7^{\frac 1 4})^5 = 7^{\frac 5 4} ](https://tex.z-dn.net/?f=%20%28%5Csqrt%5B4%5D%7B7%7D%29%5E5%20%3D%20%287%5E%7B%5Cfrac%201%204%7D%29%5E5%20%3D%207%5E%7B%5Cfrac%205%204%7D%0A)
<span>Choice A. Next
</span>
![(3^{2/3})^{1/6} = 3^{ \frac 2 3 \times \frac 1 6 } = 3^{\frac 1 9} = \sqrt[9]{ 3} ](https://tex.z-dn.net/?f=%283%5E%7B2%2F3%7D%29%5E%7B1%2F6%7D%20%3D%203%5E%7B%20%5Cfrac%202%203%20%5Ctimes%20%5Cfrac%201%206%20%7D%20%3D%203%5E%7B%5Cfrac%201%209%7D%20%3D%20%5Csqrt%5B9%5D%7B%203%7D%20%0A%0A%0A)
Choice B.
![\dfrac {2^{3/4} } {2 ^{1/2} } = 2^{3/4 - 1/2} = 2^{1/4} = \sqrt[4] {2} ](https://tex.z-dn.net/?f=%5Cdfrac%20%7B2%5E%7B3%2F4%7D%20%7D%20%7B2%20%5E%7B1%2F2%7D%20%7D%20%20%3D%202%5E%7B3%2F4%20-%201%2F2%7D%20%3D%202%5E%7B1%2F4%7D%20%3D%20%5Csqrt%5B4%5D%20%7B2%7D%0A)
Choice C
Answer:
a = 139.1
b = 56.2
Step-by-step explanation:
A. Reference angle = 68°
Opp = a
Hyp = 150
Therefore:
Sin 68 = opp/hyp
Sin 68 = a/150
150*sin 68 = a
a = 139.1 (nearest tenth)
B. Reference angle = 68°
Adj = b
Hyp = 150
Therefore:
Cos 68 = adj/hyp
Cos 68 = b/150
150*cos 68 = b
b = 56.2 (nearest tenth)
Step-by-step explanation:
The standard form for a line is Ax+By=C
First, we need to find the slope, or change in y over change in x. For the first one, this is
, which is impossible to find as we cannot divide by 0, meaning that this is constant horizontally -- in this case, x=2. Thus, we have 1*x+0*y=2.
For the second one, we can find the slope by getting
. We can then take the point (3,0) (it can be any point on the line) and get our equation to be y-0 = (-2/3) (x-3). Converting this to standard form, we can expand this to get
y= (-2/3)*x +2
(-2/3)*x+1*y = 2
Answer:

Refer to the attachment for explication of steps. :)
Answer:
Step-by-step explanation:
I think you meant y = -2x + 5.
x y = -2x + 5
0 5
1 -2(1) + 5 = 3
2 -2(2) + 5 = 1
Note that every time you increase x by 1, y decreases by 2.