The bearing of B from C based on the information given will be 40°.
<h3>How to depict the bearing?</h3>A bearing is an angle measured from the North direction clockwise. Notice that the bearing of B from C is 40° because according to the problem, all four points are on level ground, which means they are coplanar, and the angle between the plane and the North is 40°.
The bearing of A from C is also 110° because it's the bearing of C from A and A from C are same-side internal angles between parallels which must sum 180°.
The bearing of D from C is 40° too because that setup is parallel to the bearing of B from C.
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Step-by-step explanation:
We will prove by mathematical induction that, for every natural ,
We will prove our base case, when n=4, to be true.
Base case:
Inductive hypothesis:
Given a natural ,
Now, we will assume the induction hypothesis and then use this assumption, involving n, to prove the statement for n + 1.
Inductive step:
With this we have proved our statement to be true for n+1.
In conlusion, for every natural .
The equations y = 3x - 4 and y = 3x + 1 are linear equations
The equations have no solution
<h3>How to determine the solution of the equations?</h3>The equations are given as:
y = 3x - 4
y = 3x + 1
Next, we plot the graph of the equations y = 3x - 4 and y = 3x + 1
From the graph (see attachment), we can see that the equations do not have a point of intersection
Hence, the equations has no solution
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