### Graph the line: y = -4

Graph the line y = -4

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Graph the line y = -4

Find the slope of this line: (3, -6) (19, -20)

Graph the line with slope -3/4 through the pint (-5,-5) See attached file for full problem description.

4.4 Prove Let D be a nontrivial connected digraph. Then D is Eulerian if and only if od(v)=id(v) for every vertex v of D. Od means the outdegree of a vertex v of a digraph D. (is the number of vertices of D that are adjacent from v. id means the indegree of a vertex v of a digraph D.( is the number of vertices of D adjace

1.10 Let G be a self-complementary graph of order n, where n=1(mod 4) Prove that G contains at least one vertex of degree (n-1)/2 (hint: Prove the stronger result that G contains an odd number of vertices of degree (n-1)/2. Can you explain it step by step and draw a graph.

1.5 A nontrivial graph G is called irregular if no two vertices of G have the same degree. Prove that no graph is irregular.

1.2 Let n be a given positive integer, and let r and s be nonnegative integers such that r+s=n and s is even . Show that there exists a graph G of order n having r even vertices and s odd vertices.

3.17 Let v_1,v_2,...,v_k be k distinct vertices of a k-connected graph G. Let H be the graph formed from G by adding a new vertex of degree k that is adjacent to each of v_1,v_2,...,v_k. Show k(H)=k. k(G)=is the vertex connectivity

3.16 Determine the connectivity and edge-connectivity of each complete k-partite graph. Can you explain it step by step and draw a graph.

Graph the line - 8x + 9y = -13.

For the equation below, use the y = mx + b form to find the line it expresses: 2x - 4y = -1?

Find both the X-intercept and the Y-intercept of the line given by the equation - 9x + 4y + 13 = 0

Show that the graph of the dodecahedron is hamiltonian. Please can you explain this step by step and can you draw a graph.

Prove that a nontrivial connected digraph D is Eulerian if and only if E(D) can be partitioned into subsets E_i , 1<=i<=k, where [E_i] is a cycle for each i. <= means less and equal. Please can you explain this step by step and can you draw a graph.

Graph the line 9x + 5y = -17 Please make the points visible so I can see them. See the attached file for the full problem.

Graph the inequality: y< -1

Find an equation of the tangent plane to the parametric surface x = 5rcos(theta), y = 3rsin(theta), z = rat the point (5sqrt(2), 3 sqrt(2), 2) where r = 2 and theta = pi/4.

Let n >= 2 be a number. Define the graph L2(n) as follows: Vertices are ordered pairs from the set {1, ..., n}. Two vertices are adjacent if they have the same first coordinate, or the same second coordinate (but not both). Show that this is a strongly regular graph, and find its parameters.

(a) If X is a Poisson random variable with parameter lambda, show that E[x^n] = lambda(E[(x+1)^(n-1)]) (b) Use this result to compute E[X^3]

Relate the application to the specific graph (line, parabola, hyperbola, exponential). Describe the characteristics of each application as related to the graph. All of the graphs in this lesson occur in real life. Using the Cybrary, web resources, and other course materials, find a real-life application of each graph. ? R

F(x) = {x if 0<= x <=1} {2-x if 1< x <=2} {0 if x > 2} Define a new function g, whose domain consists of all numbers x such that 0 ≤ x ≤ 4, and whose value g(x) for such x is given as follows: g(x) = the area between the graph of the function f and the horizontal axis from 0 to x. Problem: Find a f

Let G be a graph of diameter at least three. Can you find an upper bound on the diameter of the complement of G? Prove your findings! Let G be a connected graph and sq(G) be a graph which contains all vertices and edges of G and moreover edges joining every pair of vertices that were in G at distance 2. In other words, xy is

Graph, on the number line, all points X for which Mod(X-3)<=3 See attached file for full problem description.

1. Disease 1985 1990 1995 2002 Heart Disease 771169 720058 737563 696,947 Cancer 461563 505322 538445 557,271 2. a. Plot this data for each disease as points in a rectangular coordinate system. b. Using a smooth line, connect your data points for each disease. c. On a separate graph, plot only the years

Find the slope of the line that goes through each pair of points: (-5, -2) and (-2,1). What is the steepness of the line? (i.e. 3 units up and 5 units right)

Please find the derivative of the function y = sinh(3x +5)

Determine the equation of the line. Write the answer in slope-intercept form. 52. The line through (4,0) that is perpendicular to the line x + y = 3

Consider the line -3x - 4y = 5. Questions: What is the slope of a line parallel to this line? What is the slope of a line perpendicular to this line?

Can you find the slope of the following line? Make sure to show all of your work in a clear manner. What is the slope of the line 5x - 3y = 2?

How do you find both the x-intercept and the y-intercept of the line given by the equation: 7x - 5y - 6 = 0