Let a graph have vertices {L, M, N, O, P, Q, R, S} and edge set {{L,R}, {M,P}, {M,Q}, {N,Q}, {P,R}, {Q,S}, {R,S}} .
Verdich [7]
Answer:
a) The degree of vertex P is 2.
b) The degree of vertex O is 0.
c) The graph has 2 components.
Step-by-step explanation:
a) The edges that have P as a vertice are {M,P} and {P,R}.
b) There is no edge with extreme point O.
c) One of the components is the one with the only vertex as O and has no edges. The other component is the one with the rest of the vertices and all the edges described.
The file has a realization of the graph.
Answer:
3.14 yards^2
Explanation:
The formula for the area of a circle is pi times the radius^2.
You have to substitute a yard into the radius.
Let s be Seth's age. let r be Romans age. 5 years ago Seth was s-5 and Roman was three times as old, or 3(s-5), or 3s-15=r-5
in ten years Seth will be s+10 and Roman will be twice as old, or 2(s+10), or 2s+20=r+10
3s-15 =r-5
r=3s-10
2s+20=r+10
r=2s+10
3s-10=2s+10
s=20
Seth is 20 years old
setting the two equations equal gives us
3(s-5)=2(s+10)
3s-15=2s+20
s=35
Answer:
8% tax rate.
Step-by-step explanation:
The 8% (0.08) is the tax rate because the 100%, or 1.00, is the original price of the racket, which was $13.
