Answer:
Component form of the vector will be (-1, 2).
Step-by-step explanation:
When
translates to
vector V formed after the translation will be,
V = ![](https://tex.z-dn.net/?f=%3C%28x_2-x_1%29%2C%20%28y_2-y_1%29%3E)
If we draw this vector on a graph,
Vector will start from origin and the terminal point will be at ![[(x_2-x_1), (y_2-y_1)]](https://tex.z-dn.net/?f=%5B%28x_2-x_1%29%2C%20%28y_2-y_1%29%5D)
Therefore, component form of the vector that translates from P(-3, 6) and P'(-4, 8) will be,
V = ![](https://tex.z-dn.net/?f=%3C%28-4%2B3%29%2C%288-6%29%3E)
V = ![](https://tex.z-dn.net/?f=%3C%28-1%2C2%29%3E)
Answer:
![- 30](https://tex.z-dn.net/?f=%20-%2030)
Step-by-step explanation:
![\sin {}^{ - 1} ( - \frac{1}{2} ) =](https://tex.z-dn.net/?f=%20%5Csin%20%7B%7D%5E%7B%20-%201%7D%20%28%20-%20%20%5Cfrac%7B1%7D%7B2%7D%20%29%20%20%3D%20)
Using the identity,
![\sin( - x) = - ( \sin(x) )](https://tex.z-dn.net/?f=%20%5Csin%28%20-%20x%29%20%20%3D%20%20-%20%28%20%5Csin%28x%29%20%29)
![\sin( \frac{1}{2} ) = \frac{\pi}{6}](https://tex.z-dn.net/?f=%20%5Csin%28%20%5Cfrac%7B1%7D%7B2%7D%20%29%20%20%3D%20%20%5Cfrac%7B%5Cpi%7D%7B6%7D%20)
so
![\sin {}^{ - 1} ( \frac{ - 1}{2} ) = - \frac{\pi}{6}](https://tex.z-dn.net/?f=%20%5Csin%20%7B%7D%5E%7B%20-%201%7D%20%28%20%5Cfrac%7B%20-%201%7D%7B2%7D%20%29%20%20%3D%20%20-%20%20%5Cfrac%7B%5Cpi%7D%7B6%7D%20)
Convert to degrees.
![- 30](https://tex.z-dn.net/?f=%20-%2030)
1/4 = 2/8,
so
7/8 - 2/8 = 5/8
If two adjacent angles have their exterior sides in perpendicular lines, then the two angles are also perpendicular.
Both exterior and interior angles sum up from 90 - 180 degrees. Therefore, if an exterior angle is perpendicular, then the interior angle must also be perpendicular in order for them to sum up to that amount of degrees (90 - 180).
Answer:
B
Step-by-step explanation: