Answer:
Step-by-step explanation:
We are to show that 
<u>Proof:</u>
From trigonometry identity;


From trigonometry, 2sinAcosA = Sin2A

Also note that sin(B-C) = sinBcosC - cosBsinC
sin420cos140 - cos420sin140 = sin(420-140)
The resulting equation becomes;

= 
This would be a great question to just plug into a calculator. I'm sure you will find the answer quite easily if you use a calculator.
Answer:
9x-y = 5
Step-by-step explanation:
Equation of line in slope intercept form:
y-y1 = m*(x-x1), m=9, (x1,y1)=(4,31)
y-31 = 9*(x-4)
y-31 = 9x-36
9x-y = 36-31
9x-y = 5
Answer:
10
Step-by-step explanation:
This means that 12/(2x+1)=8/(x+4). Cross multiply to get 16x + 8 = 12x + 48. Subtract 12x + 8 from both sides to get 4x = 40, so x = 10.