Determine the constant that should be added to the binomial so that it becomes a perfect square trinomial. Then, write and factor the trinomial. x2 – 14x Solution :…
Month: October 2015
Problem 1084
Find the vertex, focus, and directrix of the following parabola. Then draw the graph. (x – 2)2 = -3 (y + 1) Solution:- The two standard forms of the…
Problem 1083
Find the equation if the parabola determined by the given information. Focus (3,5), directrix x = -1. Solution:- Notice that the directrix is a vertical line. Since the…
Problem 1082
Find the equation of the parabola determine by the given information. Focus (6,0), directrix x = -6 Solution:- First, notice that since the directrix is a vertical line,…
Problem 1081
Find the vertex, the focus, and the directrix. Then draw the graph. y2 = -6x Solution:- An equation of the form y2 = 4px is the standard equation…
Problem 1080
Determine whether the following statement makes sense or does not make sense, and explain your reasoning. Starting from my home, I need to go to the post office, the…
Problem 1079
Use Kruskal’s Algorithm to find the minimum spanning tree for the weighted graph. Give the total weight of the minimum spanning tree. Solution:- Step 1. Find the edge with…
Problem 1078
Find a spanning tree for the connected graph. Solution:- Given a graph, a sub graph is a set vertices and edges chosen from those of the original graph. A…
Problem 1077
Determine whether the graph is a tree. If the graph is not a tree, given the reason why. Solution:- Definition and Properties of a Tree A tree is a…
Problem 1076
Determine whether the graph is a tree. If the graph is not a tree, give the reason why. Solution:- A tree is a graph that is connected and has…
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