Answer:
2x - 2y = -8
x + 2y = -1
3x = -9
x = -3
-3 + 2y = -1
2y = 2
y = 1
(-3, 1) is the solution
Step-by-step explanation:
Answer:
![12\sin{(2\theta)}\cos{(\theta)}](https://tex.z-dn.net/?f=12%5Csin%7B%282%5Ctheta%29%7D%5Ccos%7B%28%5Ctheta%29%7D)
Step-by-step explanation:
The appropriate trig identity is ...
![\sin{a}+\sin{b}=2\sin{\left(\dfrac{a+b}{2}\right)}\cos{\left(\dfrac{a-b}{2}\right)}](https://tex.z-dn.net/?f=%5Csin%7Ba%7D%2B%5Csin%7Bb%7D%3D2%5Csin%7B%5Cleft%28%5Cdfrac%7Ba%2Bb%7D%7B2%7D%5Cright%29%7D%5Ccos%7B%5Cleft%28%5Cdfrac%7Ba-b%7D%7B2%7D%5Cright%29%7D)
Here, you have a scale factor of 6 and a=3θ, b=θ. Filling in these values gives ...
![6\sin{3\theta}+6\sin{\theta}=12\sin{\left(\dfrac{3\theta+\theta}{2}\right)}\cos{\left(\dfrac{3\theta-\theta}{2}\right)}\\\\=12\sin{(2\theta)}\cos{(\theta)}](https://tex.z-dn.net/?f=6%5Csin%7B3%5Ctheta%7D%2B6%5Csin%7B%5Ctheta%7D%3D12%5Csin%7B%5Cleft%28%5Cdfrac%7B3%5Ctheta%2B%5Ctheta%7D%7B2%7D%5Cright%29%7D%5Ccos%7B%5Cleft%28%5Cdfrac%7B3%5Ctheta-%5Ctheta%7D%7B2%7D%5Cright%29%7D%5C%5C%5C%5C%3D12%5Csin%7B%282%5Ctheta%29%7D%5Ccos%7B%28%5Ctheta%29%7D)
0.41 > 3/7 > 43% this is the answer
Change of y / over change of x
Go over 4, up 45
B is your correct answer
Hope this helps!
Answer:
$210
Step-by-step explanation:
Cost of 44kg onions = $308
Cost of 1kg onion = ![\frac{308}{44} = 7](https://tex.z-dn.net/?f=%20%5Cfrac%7B308%7D%7B44%7D%20%20%3D%207)
Cost of 30kg onions = ![30 \times 7 = 210](https://tex.z-dn.net/?f=30%20%5Ctimes%207%20%3D%20210)