Answer:
Contradiction
Step-by-step explanation:
Suppose that G has more than one cycle and let C be one of the cycles of G, if we remove one of the edges of C from G, then by our supposition the new graph G' would have a cycle. However, the number of edges of G' is equal to m-1=n-1 and G' has the same vertices of G, which means that n is the number of vertices of G. Therefore, the number of edges of G' is equal to the number of vertices of G' minus 1, which tells us that G' is a tree (it has no cycles), and so we get a contradiction.
Answer:5m/2
Step-by-step explanation:
3m-m/2
(2×3m-1×m)/2
(6m-m)/2=5m/2
Answer:
$44
Step-by-step explanation:
Original price = $80
Discount on sale = 50%
Discounted price = (1 - 50%) * original price
Discounted price = 0.5 * $80 = $40
Sales tax = 10%
Sales tax amount = 0.1 * $40 = $4
Total cost = discounted price + sales tax amount
Total cost = $40 + $4 = $44
The answer is 15
From the graph:
Car A traveled 60 miles in one hour
Car B traveled 75 miles in one hour.
Car B travels 15 more miles per hour
