Show that every map on RP² can be colored by six colors, and that there is a map on RP² that requires six colors.

Q: Which of the following sets is a linearly independent set? a. (1,2),(5,10) b. (1,2),(5,8) c.…

A: Linearly independent and dependent set

Q: Q17: Build a centralized routing directory for the network B C 3 E

A: A network is given for which a centralized routing directory needs to be prepared.

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: In the following diagram let A, B, .., F denote restaurants, and the lines connecting them overpass.…

A: Given: The diagram of restaurants and overpass as And the blogger stops for lunch when he cannot…

Q: Do the points (0.5, 1), (1, 1.2), (2, 2) lie on a line?

A: Three points will lie on same line if slope of any two point is same as other two points, taken two…

Q: Find the value of a for which 4 1 is in the set 2 H = span -3 4 -2 a =

A:

Q: Use the graph to complete the ordered-pair solution (1,_) for f. Ay 34 2- -2-11 1 2 3 5 6 789 10 -2-…

A:

Q: A. Find the vertex for y = x² + 2x- 3. A. (0,-4) В. (1,-2) С. (-1,-4) D. (-2,-3) A

A:

Q: Determine the equation of the set of all points equidistant from the points A(1,0, 1) and B(2,2, 2).…

A: Given, The points A(1,0,1) and B(2,2,2). Point C is equidistant from two points A and B if the…

Q: 2. 4 2 omil -4 -2 2. 4. 2 x-intercept y-intercept

A: The given graph is: To find the x-intercept and y-intercept.

Q: Intersections in England are often constructed as one-way "roundabouts," such as the one shown in…

A:

Q: Use graph to find  set. (-2, 1] ∪ [-1, 3)

A: Given set is  (-2, 1] ∪ [-1, 3) The graph for the given set is as shown

Q: Graph the minimum hours and maximum hours and shade. Use a dotted or normal line if appropriate. If…

A: If the Teacher grades 18 math tests, y = 18.  3x + 2y < 72 ⇒ 3x + 2 * 18 < 72 ⇒ 3x + 36 <…

Q: Find the value of a for which 4 is in the set -1 H= span -3 4 -2 a = 15

A:

Q: When the relationship between two variables is determined by a curve, it is an example of: Group of…

A: The relationship between two random variables is determined by curve, it is an example of A.…

Q: Which of these lines represent initial conditions? o a. p O b. ad Oc. bc O d. ab

A: In the given diagram the line ab is moving in the direction of positive x axis.

Q: If the composition p ∘ u = (2-y, 2-x), show that the fixed points are the points on the line y =…

A: The objective of this question is to prove that the fixed points of the composition function p ∘ u =…

Q: Do the three planes x₁ + 3x₂ + 2x3 = 4, x₂ - 2x3 =1, and 3x₁ + 12x2 = 9 have at least one common…

A: Given planes are Write the above system in matrix form, which is given belowNow, write the augmented…

Q: Find the locus represented by 12-21=12+41 %3D

A: Given, The equation  z-2=z+4 We have to find the locus represented by the equation.

Q: explain why the entire real line R is both open and closed.

A: In standard topology, the entire real line (R) is considered both open and closed. Let's break down…

Q: Table A and Table B represent linear relationships.   Based on the information in the tables,…

A: For table A xy312416520624 Since the for each difference between two consecutive number is 4.  Thus…

Q: Maps Wishful Dreamer .... omework i Ace Hardware sells Ace Hardware sells Saved A local Ace Hardware…

A:

Q: Complete the table Three – line geometry Paste here the illustration of the Three - line geometry…

A: First, we consider the three-line geometry. A three-line geometry as the name suggests is made up of…