Therefore
(4y+6) +y = 46
We can combine the like terms:
5y + 6 = 46
Subtract 6 on both sides:
5y+6-6=46-6
Therefore 5y =40
Divide by 5 on both sides
5y/5 = 40/5
Therefore
y= 8
We found y but to find the value x we use y.
X= 4y+6
Therefore
x= (4*8)+ 6
Therefore
x= 32 + 6
x= 38.
Answer:
8+3i
Step-by-step explanation:
(9+6i)-(1+3i)
9+6i-1-3i
8+3i
<u>Given</u>:
A conveyor belt carries bales of hay from the ground to the loft of a barn 27 feet above ground.
The belt makes an 30° angle with the ground.
We need to determine the distance that the bale of hay travel on the conveyor belt.
<u>Distance that the bale of hay travel on the conveyor belt:</u>
The distance that the bale of hay travel on the conveyor belt can be determined using the trigonometric ratio.
Let the distance that the bale of hay travel on the conveyor belt be x.
Thus, we have;

Substituting
and 
Thus, we get;

Simplifying, we get;



Thus, the value of x is 54 feet.
Hence, the distance that the bale of hay travel on the conveyor belt is 54 feet.