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: 1. If (0, 0), (3, 0) and (x, y) are the vertices of an equilateral triangle, find x and y.

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: 0 1 1 0 0 0 0 0 1 1 1 1 1 1 1 1

A:

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: 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: A technology manufacturing company has recently switched to the production of isolinear processors.…

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

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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: Find an equation for this graph (note that it goes through the points (1,1) and (5, 11)):

A: We have to find the equation of the graph.

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: 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: b a d e g

A: To find the circuits with in the graph

Q: 1. The center and radius of the given circle (x-3)+(y+8)-39 are: %3D A) (3,-8), r 39 B) (-3,-8),…

A: We have to find the center and radius of the given equation of circle: x-32+y+82=39 We know that if…

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

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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”.