Answer:
1/5
Step-by-step explanation:
Equation: 
Points: (-3, -9) and (22, -4)
is the second y point that shows up on the question, basically go by order. So it's -4
is -9, because again, in order of which coordinates pop-up first in the question
is 22,
is -3
Now input into the equation, to make it easier we'll split the fraction into 2 equations:
=
and
, we'll put them back in a fraction later
= -4 - (-9) = -4 + 9 = 5
= 22 - (-3) = 22 + 3 = 25
now put it in the fraction, remember y on top x on the bottom:
5/25, simplify, 1/5
Answer:
The angle W is approximately 7°.
Step-by-step explanation:
Since angle X is adjacent to sides y and w and opposite to side x, we calculate the length of side x by Law of the Cosine:
(1)
Where:
- Side lengths, in centimeters.
- Angle, in sexagesimal degrees.
If we know that
,
and
, then the length of the side x is:


By Geometry we know that sum of internal angles in a triangle equals 180°. If X is an obtuse, then Y and W are both acute angles. By Law of the Sine we find angle W:
(2)

![W = \sin^{-1}\left[\left(\frac{w}{x} \right)\cdot \sin X\right]](https://tex.z-dn.net/?f=W%20%3D%20%5Csin%5E%7B-1%7D%5Cleft%5B%5Cleft%28%5Cfrac%7Bw%7D%7Bx%7D%20%5Cright%29%5Ccdot%20%5Csin%20X%5Cright%5D)
If we know that
,
and
, then the angle W is:
![W = \sin^{-1}\left[\left(\frac{w}{x} \right)\cdot \sin X\right]](https://tex.z-dn.net/?f=W%20%3D%20%5Csin%5E%7B-1%7D%5Cleft%5B%5Cleft%28%5Cfrac%7Bw%7D%7Bx%7D%20%5Cright%29%5Ccdot%20%5Csin%20X%5Cright%5D)

Hence, the angle W is approximately 7°.
Answer:
Third one one
(1 x^8/ 2^2y^5)^3
Step-by-step explanation:
Quotient of power: a^m/a^n = a^(m-n)
[(x^3y^-2) /(2^2x^-5y^3)]^3 = (x^8/ 2^2y^5)^3
So. It's third option
Answer: Im very sure the answer is
B
Step-by-step explanation: