The degree of a vertex is defined as the number of edges that touch the vertex. The (i, j)-th entry of the adjacency matrix tells you whether vertex i touches vertex j (1 if yes, 0 if no). Then the degree of vertex i is equal to the sum of the i-th row in the adjacency matrix.
• vertex 1 : degree = 0 + 1 + 0 + 0 + 1 = 2
• vertex 2 : degree = 1 + 0 + 1 + 1 + 1 = 4
• vertex 3 : degree = 0 + 1 + 0 + 1 + 0 = 2
• vertex 4 : degree = 0 + 1 + 1 + 0 + 1 = 3
• vertex 5 : degree = 1 + 1 + 0 + 1 + 0 = 3
So, the correct answer is A. 2.
Coordinates of the point C is: (-4.1, -2.5)
The answer would be:
17p - 5q^2 - q + 9p^2
Hope this has helped you
Hi there!
We are given the equation w² + 7w + 12 = 0, and we are told to solve it. Well, we can first take all the factors of 12 -
1 12
2 6
3 4
Now, take the sum of each factor pair -
1, 12 = 13
2, 6 = 8
3, 4 = 7
Find which factor pair adds up to 7, and we can see that 3 and 4 add up to seven, while also having a product of 12. Therefore, since the whole equation has addition signs, we can factor the equation w² + 7w + 12 into (w + 3)(w + 4) = 0. Next, using the Zero Product Property, we can set each term to zero.
w + 3 = 0
w = -3
w + 4 = 0
w = -4
Therefore, the solution to the equation w² + 7w + 12 = 0 is w = -3, -4. Hope this helped and have a great day!
