3. In how many ways can this diagram be coloured subject to the following two conditions? (i.) Each of the smaller triangle is to be painted with one of the three colours: White, black or blue. (ii.) No two adjacent regions have the same colour.

Q: How many ways can we color this map with three colors? Adjacent countries must get different colors.

A:

Q: The geometric object in 3-space represented by the equation (x +y +z)^2 = 81 is O a. the line…

A: This is quadratic equation.  When this quadratic expression can be factored in two linear factors…

Q: 4. An Incorrect Venn Diagram Beckmann 10.4 #17 What is wrong with the diagram for the problem in the…

A: Hence explain the reasons for Venn diagram is wrong and sketch the Venn diagram.Explanation:Step…

Q: (10 O Draw the following graphs: g) P4 h) C3 i) C4 d) K4,3 a) Ky 67 kg c) kG ļ) K3,3

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

Q: Question 3 Draw a diagram representing the graph with the following vertices and edges V = {A, B, C,…

A: A graph is defined as a mathematical figure of a network and it shows the relationship between lines…

Q: Task 4.Determine the relations' composition table VI 2 2 IV

A: Composition table   ≤ ≥ ≤ ≥ ≤ ≥ ≤ ≥

Q: You are creating an animation in which the characters in one frame of the animation will be standing…

A:

Q: 7. Find the equation in the given graph. a (x + 2) 2 + (y- 2) 2 = 16 b. (x - 2) 2 + (y - 2) 2 = 16…

A:

Q: 0 0 1 1 0 0 0 0 0 1 1 0 0 1 0 10 10 1 0 1 0 1 0 (b) Figure 3: An undirected graph has 5 vertices.…

A:

Q: 2. What are the vertices of ABC after the dilation of a scale factor 2?

A: The coordinate of A are, (2,-1) The coordinate of A after dilation by 2 are, A'=2×2,-1×2=4,-2

Q: 4. Provide the equation that model the following traffic network for the highlighted intersection.…

A: There is no loss at the cross points

Q: g) y = -2|x+3|+ 4 parent: y Vertex: D: R:

A: We have to find

Q: If the results of a two-factor experiment are presented in a line graph, then what pattern appears…

A:

Q: The graph of x) is shown below. y -Rx) 8t Consider the following statements: Which of the above…

A: Given that: Graph of y=f(x)

Q: What is the chromatic number of the following graph? B A H G E F 1. O 4 2. О 5 3. О З 4. O 2

A:

Q: For each pair of graphs, determine whether or not they are exactly the same or not. Give sufficient…

A: Two graphs are isomorphic or the same if they have the same number of vertices and edges with the…

Q: 1. In the graph, indicate which point is the image of P under: Example: The reflection with line 1₁…

A:

Q: Which statement is false? a) The slope of AB is -2. b) The slope of CD is 1. 6 5 4 3 2 c) The…

A: Let's find.

Q: The figure below shows segment JK as a reflection of segment CD over the y-axis. The five points…

A: Any point on the Cartesian coordinate system is represented by the ordered pair: x, y. Start from…

Q: Determine the chromatic numbers of the wheel graphs W₁, n ≥ 4. Justify your answer.

A:

Q: .b. Determine whether the following statements are true or false. Explain why the true statements…

A: Given: To explain the given statement is true or false as follows,

Q: 14. For each of the following figures, find V+F- E, where V, E, and F stand, respectively, for the…

A:

Q: A.If angle ABC has vertices A(3,6) B(-2,-3) and C(8,6) what would the coordinates under the…

A:

Q: 3. Which is NOT the correct statement of a degree of a vertex? B E FO A) d(E) = 6 B) d(B) = 4 O C) d…

A:

Q: b a d e g

A: To find the circuits with in the graph

Q: 3. Which is NOT the correct statement of a degree of a vertex? B E F A) d(E) = 6 OB) d(B) = 4 C) d…

A: To find Which is not the correct statement of a degree of a vertex

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A:

Q: If OA, OB and OC are three edges of a parallelepiped where O is (0,0,0), A is (5,9,-3), Bis (2,-1,5)…

A: To find the coordinates of the other four vertices (D, E, F, and G) of the parallelepiped, we can…

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Q: 1. Which equation corresponds to this graph? D 2 -4 ev O 2x² + 5y² = 20 O5x² + 2y² = 20 O² + y² = 20…

A: The  general equation of an ellipse is  x2a2+y2b2=1 Where  a - length of semi major axis…

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Q: 6. Translate each vertex 4 units to the right and 2 units down. Join the new vertices to draw the…

A: For graph (a).

Q: find the area of a triangle given the following. vertices : (4,-5,-4) sym bolicaly. olo not. have…

A:

Q: QUESTION 4 a) Below is a graph showing the shaded region A. 5. 3 2- A 3 4 6 x 3 -2 -10 -1 -6 -5 2 -3…

A:

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”.