# vertices

1. ### Math 111 College Algebra-Expressing the area of a right triangle.

The vertices of a right triangle in the first quadrant are (0, n), (0,0) and (k, 0). Draw a picture that represents the situation described. If the hypotenuse passes trough the point (5,2), express the area of the triangle in terms of k. Please explain how you got your answer, this is the...
2. ### 'strong' tournaments

Recall that a directed D graph is strong if between any pair of vertices x and y, there is an x,y-path, and 1 y,x-path. 1. Prove that in any strong tournament T on at least 4 vertices, there exist two distinct vertices x and y such tat T - x and T - y are strong. Prove or disprove whether the...
3. ### Graph - Odd # Vertices

Would you be able to help me with this? Thank you in advance!! Can a graph have an odd number of vertices of odd degree? Explain
4. ### Something very perplexing I had found about the vertices of a triangle

Just playing around on Wolfram a few weeks back, I had noticed a peculiar equation involving the vertices of any triangle, regardless of classification. One can find this odd thing while typing "triangle" into the search box on Wolfram. The first vertice is (0,0). Simple enough. The second is...
5. ### A triangle has its vertices at A(-1,3), B(3,6), and C(-4,4)

Hello, I am studying for a vector test by going through past exam questions. How would I go about this problem? A triangle has its vertices at A(-1,3), B(3,6), and C(-4,4) a) Show that AB*AC=-9 b) Show that, to three significant figures, cosBÂC= -0.569
6. ### Vertices of a Square

The origin O and a point B(p,q) are opposite vertices of the square OABC. Find the coordinates of the points A and C. A line l has gradient q/p. Find possible values for the gradient of a line at 45° to l. So my answer to the first is, A=(p,0), B=(0,q), for some reason the answer is a far more...
7. ### non-isomorhpic simple graphs with four vertices

draw all non-isomorphic simple graphs with four vertices theres 7 I believe no edges, one edge, 2 edges ,3 edges ,4 edges ,5 edges , 6 edges no loops nor parallel edges. am I missing any?
8. ### An irregular hexagon H has vertices (1, 0), (0, 1), (−2, 2), (−1, 0), (0,−1) and (2,−

An irregular hexagon H has vertices (1, 0), (0, 1), (−2, 2), (−1, 0), (0,−1) and (2,−2).? a) Using standard notation, write down the elements of the symmetry group S(H) of H, giving a brief description of the geometric effect of each symmetry on points in the plane. b) Compile a...
9. ### Right-angled triangle vertices = parallelogram

Hello, The question asks us to draw a triangle ABC. It then asks us to construct a right-angle isosceles triangle with Hypotenuse AB and its 3rd vertex, R, lying entirely inside the triangle ABC. It then asks us to construct an isosceles right-angle triangle with hypotenuse BC lying entirely...
10. ### Finding 2 vertices of rectangle with 2 known vertices

Rectangle ABCD A is (-1,4), B is (4,8) Equation of BC is 4y + 5x= 52 equation of AD is 4y + 5x = 11 equation of AB is 5y= 4x+ 24 Find C and D Answer is (12,-2) and (7,-6) I've tried gradient,length,midpoint formulas but to no avail. Thanks
11. ### Euler Circuit, do I have to use all edges and vertices?

Hello again everyone! With the Euler's Circuit, do I have to use all vertices and edges? The question is: find a Euler's circuit in figure 11.44 I counted the degrees and they are all of even numbers. But I can't find my way finding a euler circuit using everything. But I did this, I just...
12. ### Find the coordinates of the vertices of the figure

1)Find the coordinates of the vertices of the figure formed by: y> 1/4x + 3/4 y> -x + 7 y< 2/3x + 2 Select one: a. (–3, 0), (3, 4), (5, 2) b. (–4, 0), (5, 4), (5, 2) c. (–4, 0), (3, 4), (5, 2) d. (–3, 0), (5, 4 ), (5, 2) Which of the following is not a vertex of the figure formed by : y>...
13. ### Find the coordinates of the vertices of the feasible region?

1)On your own paper graph the following inequalities. Find the coordinates of the vertices of the feasible region and the maximum and minimum values for the given function. What is the maximum value? y> 1 x < 6 y < 2x + 1 f(x,y)= x + y 2)The origin is contained in the solution set of: y> 2/3 x...
14. ### Find the vertices, foci, and eccentricity of the ellipse.

9x2 + 4y2 = 1
15. ### 36y^2-x^2=1 Finding the vertices and asymptotes to graph the hyperbola

Hi, I've also attached screenshot of the problem. I need help in solving this problem. I don't understand how to get from the equation 36y^2-x^2=1 to the format of ((y^2)/(a^2))-((x^2)/(b^2))=1, to determine what the vertices are. Thanks in advance ~
16. ### don't calculate vertices

ABC is a and the equation of the sides AB, BC, CA are a_1 x + b_1 y + c_1 = 0 .... (1)a_2 x + b_2 y + c_2 = 0 .... (2) a_3 x + b_3 y + c_3 = 0 .... (3) Find the eqn. of the medians of the triangle, without solving for the vertices.
17. ### Find the number of vertices and edges of the line graph L(G)

Find the number of vertices and edges of the line graph L(G) of a graph G with the degree sequence (d_1, d_2, . . . , d_n) The line graph of a graph G, denoted L(G), is the graph with vertex set E(G) in which two vertices are adjacent if and only if the respective edges of G have a vertex in...
18. ### Making a bipartite graph with 12 vertices and each vertex degree must be great than 2

Hello everyone, I am pretty new to graph theory in general and was having quite a bit of trouble with this questions. This is just practice for myself after I've read a book describing the basics of graph theory. I was able to make other graphs to satisfy all kinds of conditions, but I am...
19. ### Verifying a rhombus with 4 vertices.

Never mind... I just found out what I did wrong... After graphing it, BC would have been impossible, so I used the wrong points for BC (Done, sorry)
20. ### coordinates of the vertices of the square

A square is inscribed in the ellipse whose equation is (x^2/ 16) + (y^2/9) = 1. find the coordinates of the vertices of the square and the perimeter and the area of the square.