1. Segments, Rays, and Lines: Using the following set of three non-collinear points identify all of the following possible objects both on the drawing and symbolically. Use color coding for the drawing so that each type of object can be distinguished. Also list the maximum number of each of the geometric objects and name each object. Geometric Objects Maximum number Names (Use geometric notation) Segment(s) (red) Ray(s) (Blue) Line(s) (Black) A B'

Q: A graph is given to the right. a. Modify the graph by removing the least number of edges so that the…

A:

Q: 1. Find the smallest number of colors needed to color the faces of the following graph properly.…

A: To find the minimum number of colors needed to color the faces of the given graph.

Q: Graph the image of each shape using the translation given

A: Solution: The objective is to graph the image using given the translation

Q: Sketch the image of the given figure for each mapping  A translation of right 3 units and down 2…

A: Given: To Sketch: A translation of right 3 units and down 2 units. Concept: Function Notation…

Q: Part A. Determine if the given set is simply-connected: the region inside the polygonal line joining…

A: As per bartleby guidelines for more than one questions asked only first should be answered. Please…

Q: Determine the minimum number of colors needed to color the map shown such that no two regions of the…

A: We have to determine the minimum number of colors needed to color the map such that no two region of…

Q: the number of edges in the graph   (b.) give the number of vertices in the graph (c.) determine the…

A: a)  There are 10 edges in the graph. Hence, the number of edges in the graph is 10. b) The vertices…

Q: 14 Which set of ordered pairs represents y as a functi F {(1.9, 2), (0.9, 4), (1.9, 7), (9, 3)} G…

A: In the first option 1.9,2, 0.9,4, 1.9,7, 9,3 Here, at x=1.9 we get two different values of "y'. At…

Q: Faces Vertices Edges 4. 5 5. 8 18 6. 12 20 7. 22 44

A: Euler's Formula: F + V = E + 2 where F-Faces, V- vertices E- edges

Q: graph is given to the right. . Modify the graph by removing the least number of edges so that the…

A:

Q: Please fill in the blanks with one of those given words/word groups The . graphs can be divided into…

A: There are different types of graphs such as bipartite, connected, complete, isomorphic, etc. Each…

Q: Given the geometric figure below with 5 vertices and 8 lines: a. Input the degree number for each…

A: Note: Euler path: An Euler path in a graph is a path that passes through every edge of the graph…

Q: Please fill in the blanks with one of those given words/word groups A . is collection of two sets V…

A:

Q: 1. Find the set of V and the set of E for the graph K1. b j K1 V = E =

A:

Q: Name Common Core Standard 5.OA.3 – Operations & Algebraic Thinking Use graph to answer the questions…

A: Solution is given as below:

Q: Explain the direct graph representation of a finite poset and hasse diagram with example

A:

Q: 4. In the following figure which points are extreme. 5. Define a face and edge in polyhedral set.

A: Given figure is, We have to determine the extreme points. A point which is lying on the edges of…

Q: artial order relation but not a e, cTd, aTe and eTd. ersi diagram for each possible rela

A:

Q: A reporter Is interested in seeing how many students are taking English classes and Science classes.…

A: The number of students enrolled at the school is 100.

Q: The two figures are similar. Create the similarity statement from the diagram. ДВАС

A: to fill in the blanks

Q: A graph is given to the right. a. Modify the graph by removing the least number of edges so that the…

A: Part(a) A graph is said to have an Euler circuit if the degree of each of its vertices is even. Now,…

Q: 2. Vertex (2,3); focus (2,-1)

A: 2) If the vertex of the parabola (h,k) is known, we must use the following vertex forms of the…

Q: Berge graph is similar to to strong perfect graph due theorem. a) line graph b) perfect graph c) bar…

A: We will solve the following.

Q: 5. The population size of the data set in the correctly made graph is 6. The raw data set is { }…

A: 5) The population size of the data set is 19

Q: Identify all edges on the graph that are bridges. The edges are bridges. (Use a comma to separate…

A: Bridge of a graph G is the one whose removal from G increases the number of components or makes the…

Q: Use graphs to find the set. (−1,1) ∩ [0,9]

A: Given  (−1,1) ∩ [0,9]

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

A: The Solution is given below

Q: 1. Segments, Rays, and Lines: Using the following set of three non-collinear points identify all of…

A: Maximum number of segments: 3 Names of segments: AB, BC, AC

Q: Use shading to show the following set on the Venn diagram. (AUB) nC Use the graphing tool to shade…

A:

Q: Determine the classification of the quadrilateral: Vertices are (0,0), (5,2), (10,10), & (0,6)

A: here coordinates of the vertices of the triangle are given. we have to find the distance between…

Q: 9. 8 6. 5 4 2 3 1

A:

Q: a. Create a graph that models the bordering relationship among the states shown in the map. Use…

A: The path of the graph that visits each edge exactly once in a connected graph is called the Euler…

Q: A fictional map of the countries of a continent is given. Represent the map by a graph and find a…

A: First, we draw a graph representing the map. Vertices represent countries and edges represent…

Q: A figure has vertices D = (0,2), E = (3,5), F = (6,2), and G = (9,5). Which of the following is the…

A: Solution: The objective is to determine the classification for the given vertices

Q: Consider the AON graph of a project shown below. The activity times are 3, 3, 2, 2, 5, 3, 1, and 4…

A: Given AON graph

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: 1. Let X = {a, b, c, d, e} and T = {Ø, X,{a}, {c, d}, {a, c, d}}. Find the closure, interior,…

A:

Q: In a poll, students were asked to choose which of six colors was their favorite. The circle graph…

A: we have to find number of people choose pink .

Q: (A ∩ B) ∪ (A ∩ C') how do i draw this venn diagram with the shaded parts? thanks,

A: A∩B∪A∩C'

Q: 9. Sketch the general diagram for AUB.

A:

Q: Identify all edges on the graph that are bridges. DE B ...... The edges are bridges. (Use a comma to…

A: Vertex is where two or more edges meet. If the removal of an edge results in a disconnected graph,…

Q: Select all the descriptions for the image below:

A: We have to find

Q: 1 5of 14 Domain/Range What is the domain of the graph? Use set builder notation. 20 PLD Submit 10…

A: Graph of the function is given , we have to its domain and write in set builder notation

Q: Faces: 8 edges: ? vertices: 6

A: Given Faces=8 vertices=6

Q: 2. How many edges in the subgraph induced by the set {c, a, d} of the graph in Fig.2? a) 7 b) 13 c)…

A: As the subgraph contains only vertices c, a, d . So we will not count any edges induced towards b…

Q: 7. Which of the following situations does NOT illustrate combination? a. Selecting two songs from 10…

A: ANSWER OF THIS QUESTION IS OPTION C.

Q: Use shading to show the following set on the Venn diagram. (An B) U C A B Use the graphing tool to…

A: The set P∪Q contains all the elements that are present either in set P or in set Q. The set P∩Q…

Q: 8. (a) A graph has six vertices, every two of which are joined by an edge. Each edge is colored red…

A: (Note: We are entitled to solve only one question at a time) To Find: a. A graph has six vertices,…

Q: 5. Shade the region (A - B) N C in the Venn Diagram A B

A:

Q: The following figures show electronic circuits on a circuit board. The vertices represent fixed…

A: Remark: Planar graph:  A graph is said to be planar if it can be drawn in a plane so that no edge…

Set Theory

Every field in the present world involves a set. The theory of sets was developed by German mathematician Georg Cantor while working on the “problems of trigonometric series”.