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:
Step-by-step explanation:
Slope of the line through (0,3) and (2,5) = (5-3)/(2-0) = 1.
Equation of line: y = x+3
When x=3, y=6
(3,n) = (3,6)
Answer:
17
Step-by-step explanation:
You have to plug -2 into every x in the function, so:
(-2)^2 - 3 (-2) + 7
4 + 6 + 7
17
Answer:
Step-by-step explanation:
Answer: B
how close their measurements are to each other
Step-by-step explanation:
The students in a science class did not know the length of the board before taking turns to measure the length of a certain board.
The characteristic of their measurements that best indicates
their accuracy will be how close their measurements are to each other.
If the actual length is known before the carry out the measurements, there average value will be neccessarily to determine their accuracy.
Therefore, option B is the best option.
