a) State the system of inequalities bounded by the shaded region for each graphs below. 12 10 -10 -8 10 16 -2 (5 marks) 4. 2)

Q: 8. (a) Can you draw a graph with at least two vertices for which all the vertices have different…

A: consider the graph  A has valence 1 Vertex B has valence 2 Vertex C has Valence 3 Vertex D has…

Q: Use vertices to describe two paths that start at vertex C and end at vertex D. Select the two…

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Q: OB. Oc. D. Ay 10- 10- 10- 10- 0 24 The vertices of the region that describes the possible inventory…

A: In the given graph it can be observed that graph D is the correct answer.

Q: Total number of edges of a complete graph which has 9 vertices is None 12 edges 36 edges 18 edges

A: To find Total number of edges of a complete graph which has n vertices.

Q: Sketch the region that corresponds to the given inequality.

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Q: 4. Prove: "Show that the number of edges in a simple planar graph of order n is at most 3n – 6".…

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Q: a What is the graph's vertex set V? V = { Ex: w, x What is the graph's edge set E? E = { Ex: {w, x},…

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Q: 13. Does the join of two graphs hold commutativity? Illustrate with examples.

A: 13. We need to show whether the join of two garph is commutative or not.  Join of two graphs means…

Q: 23. Vertex (8, 0), passes through (2, 3)

A: Equation of ellipse

Q: What is the degree of vertex A?

A: Given graph, To be found - Vertex of A

Q: Mark all the relative minimum points in the graph. 7- 6. 5- Click to aidd points 2- -7 -6 -5 -4 -3…

A: Relative minimum of a graph is the point where the graph changes its direction from decreasing to…

Q: Which set of edges below is the minimum spanning tree of graph G? u 5 6. 6. 7 a 2 G {s, v}, {s, u},…

A: A minimum spanning tree or minimum weight spanning tree is a subset of the edges of a connected,…

Q: Write inequalities to describe the sets The half-space consisting of the points on and below the…

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Q: Consider the set X E R? defined by the system of inequalities X = {R² : -xı+ x2 0, x2 > 0}. (a) In…

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Q: Name Aigebra Kut a C 20 21 Soft w are LLC. AIlrigh ts rese rved. Competency 2.7 Draw a graph for…

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Q: 1. You are given an image of lines below. Write down the colors of the lines that are sub- spaces.…

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Q: a What is the graph's vertex set V? V= { Ex: W, X What is the graph's edge set E? E = {Ex: (W, x},…

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Q: Find a so that the point ( - 1, 2) is on the graph off(x )= ax2 + 4.

A: Our Aim is to find a so that the point (-1,2) is on the graph of f(x)=ax2+4.

Q: Jse vertices to describe two paths that start at vertex I and end at vertex D. E. B G D Select the…

A: A ) I,H,G,F,D  E) I,G,F,D

Q: 3. Construct the boxplot of the boys and girls in one graph. Boys Girls Minimum 28 32 First Quartile…

A: Provided data is - Boys Girls 28 32 35 46 48 56 51 65 64 77

Q: Grid Grove is a neighborhood, with houses organized in m rows of n columns. Houses that are closest…

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Q: when can two spanning sets be equal?

A: See solution below

Q: 6. Which graph shows the locus of points that are 3 units from (-2,-2). A.

A: The Solution is given below

Q: Square M has one vertex at (5, 5) and sides of length 5. If the sides of square M are parallel to…

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Q: A farmer is building a fence to enclose a rectangular area consisting of two separate regions. The…

A: Total fence required = 2 L + 3 W           2 L + 3 W = 234…

Q: In Exercises 29 and 30, a floor plan of a museum is shown. Draw a graph that represents the floor…

A: Let the rooms be a,b,c,d,e,f,g The floor plan can be made as follows.

Q: 16. Can someone cross all the bridges shown in this map exactly once and return to the starting…

A: Result: A connected multi graph with at least two vertices has a Euler circuit if and only if each…

Q: 10. Which graph represents the solution set for 2x – 4 < 8 an (1) + 1 2 3 4 5 6 7 (2) + 1 2 3 4 5 6…

A: I

Q: Sketch the region that corresponds to the given inequalities, say whether the region is bounded or…

A: We consider the corresponding equation and draw third graphs. Then we find the area bounded by the…

Q: 3.1.3. (-) Let S be the set of vertices saturated by a matching M in a graph G. Prove that some…

A: you Can Convert any non-maximal matching  into a maximal matching by adding edges.  And you Can…

Q: 1. Suppose the bicycle rental at the Rizal Park is worth PhP 20 per hour. Your SIster would ike to…

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Q: 2. List down all the possible paths from vertex 'a' to vertex 'h'. Arrange your answer from the…

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Q: Two . vertices are joined by edges. ........ The ... graphs can be divided into two parts, such that…

A: Note: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts…

Q: True or false? walk is closed if the first and last vertices of the walk are the same, that is, if…

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Q: 1. Ciraph the So lution set. Label all vertices. If there is no. Solution indicate that the Solution…

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Q: farmer is building a fence to enclose a rectangular area consisting of two separate regions. The…

A: Let the dimensions of rectangular area Length =l , width =w The farmer has 162 feet of fencing ----1

Q: Represent the student's heights by suitable graphs (minimum 2 graphs).

A: Given : We have given data of students and there heights , 1)Simple Bar graph (2-D column bar chart)…

Q: 1. (a) What is the maximum number of edges that a bipartite planar graph with 10 vertices can have?…

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Q: 3. A floor plan of a museum is shown. Draw a graph that represents the floor plan, where each vertex…

A: Given

Q: The axis of symmetry line passes through which point? O y-intercept vertex any random point…

A: Axis of symmetry is a line through which given curve is symmetry.

Q: ach vertex in the graph represents an animal that needs to be transported to the zoo. Two vertices…

A: We have to find fewest number of cages needed to transport these animal. Now, two vertices are…

Q: 31. In any undirected graph the sum of degrees of all the nodes A. must be even B. are twice the…

A: Sol

Q: Give an example of a non-planar graph that is not contractible to K5or K3,3.

A: Solution :-

Q: Which set of edges below is the minimum spanning tree of graph G? 5 5 {s, V}, {s, u}, {a, c}, {a,…

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Q: What is the minimum number of links L of an undirected network of N nodes? Select one: O a. 0 O b. N…

A: Graph theory

Q: (h) Suppose that G is an unconnected graph that consists of 4 connected components. The first…

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Q: In 2011 the United States federal government decided that all businesses must pay their employees a…

A: As per the given graph of hourly minimum wage requirement:  1. Statement first is correct that the…

Q: W D 6) Choose the inequality represented in the graph. 16 Jaxis 14- 12 -6 -4 12 -2- O ys -z+9 O y 2…

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