Note: In E, (1/4) times 12 is 3, and in F, (1/4) times 20 is 5.
Thus, the rule for direct variation here would be y = (1/4)x.
Answer:
The solutions are π/4, 3π/4,5π/4,7π/4
Step-by-step explanation:
The given equation is
6sin²(x) = 3
Divide by 6 to get:
![{ \sin}^{2} (x) = \frac{1}{2}](https://tex.z-dn.net/?f=%20%7B%20%5Csin%7D%5E%7B2%7D%20%28x%29%20%3D%20%20%5Cfrac%7B1%7D%7B2%7D%20)
This implies that;
![\sin(x) = \pm \frac{ \sqrt{2} }{2}](https://tex.z-dn.net/?f=%20%5Csin%28x%29%20%3D%20%5Cpm%20%20%5Cfrac%7B%20%5Csqrt%7B2%7D%20%7D%7B2%7D%20)
If
![\sin(x) = \frac{ \sqrt{2} }{2}](https://tex.z-dn.net/?f=%5Csin%28x%29%20%3D%20%5Cfrac%7B%20%5Csqrt%7B2%7D%20%7D%7B2%7D)
![x = \frac{\pi}{4}](https://tex.z-dn.net/?f=x%20%3D%20%20%5Cfrac%7B%5Cpi%7D%7B4%7D%20)
in the first quadrant
![x = \frac{3\pi}{4}](https://tex.z-dn.net/?f=x%20%3D%20%20%5Cfrac%7B3%5Cpi%7D%7B4%7D%20)
in the second quadrant.
If
![\sin(x) = - \frac{ \sqrt{2} }{2}](https://tex.z-dn.net/?f=%5Csin%28x%29%20%3D%20-%20%20%5Cfrac%7B%20%5Csqrt%7B2%7D%20%7D%7B2%7D)
![x = \frac{5\pi}{4}](https://tex.z-dn.net/?f=x%20%3D%20%20%5Cfrac%7B5%5Cpi%7D%7B4%7D%20)
in the third quadrant
![x = \frac{7\pi}{4}](https://tex.z-dn.net/?f=x%20%3D%20%20%5Cfrac%7B7%5Cpi%7D%7B4%7D%20)
Answer: 25% 2/8
Step-by-step explanation: 2 green ones and you have a total of 8, so you have 6 different colored M & M's, so that makes it 2/8
Answer:
slope = -3 and equation of line is y = -3x+16
Step-by-step explanation:
two points, (0,16), and (2,10)
rise/run: y2-y1/x2-x1 = 10-16/2-0 = -6/2 = -3