Answer:
The error is at step (3) .
The correct step (3) will be,
= 
[by using the laws of indices]
All other steps are correct.
Step-by-step explanation:
The error is at the step (3) , because the student has tried to prove the quotient rule of logarithms by using the property i.e., 'The quotient rule of logarithm' itself , i.e. ,by assuming the property does hold before proving it. So, the proof is fallacious.
The correct step (3) will be,
= [by using the laws of indices]
All other steps are correct.
Answer:
193.53 miles
Step-by-step explanation:
Please see the diagram for understanding of how the angles were derived,
Applying Alternate Angles, ABO =77 degrees
The bearing from B to C is 192=180+12 degrees
Subtracting 12 from 77, we obtain the angle at B as 65 degrees.
We want to determine the boat's distance from its starting point.
In the diagram, this is the line AC.
Applying Law of Cosines:
The distance of the boat from its starting point is 193.53 miles (correct to 2 decimal places).
Answer:
m=-4
m-4=2m
m-2m=4 combine like terms
-m=4 change the signs on both sides of the equation
m=-4
