Answer:
Yes.
Step-by-step explanation:
If a graph G doesn't have a circuit, we must have that

where  is the number of edges of the graph and
 is the number of edges of the graph and  the number of vertices. However, in this case it holds that
 the number of vertices. However, in this case it holds that

 
        
             
        
        
        
Answer:
(a) Because it is an exterior angle
(b) The measure of angle 2 is 72°
Step-by-step explanation:
Angle 2 is an exterior angle because it is adjacent to the interior angle 1, and an exterior angle is equal to the sum of the measures of the two nonadjacent interior angles:
<2=30°+42°
<2=72°
 
        
             
        
        
        
Answer:
can you make the picture bigger and show the all of the answers, if yes i believe i can do the problem thank you
Step-by-step explanation:
 
        
             
        
        
        
We have that
f(x) = (x – 5)³(x + 2)²
we know that
<span>the roots can touch or cross the x axis
</span>The way you can tell if the graph is going to cross the x-axis or just touch the x-axis is by looking at the power of the factor.
(x - 5)³ has a power of 3 which is an ODD number. An ODD power means that the graph will cross through the x-axis.
(x + 2)² has a power of 2 which is an EVEN number. An EVEN power means that the graph will touch the x-axis.
therefore
the answer is<span>
the graph of f(x) touch the x axis for the root x=-2
</span>
see the attached figure