abstract algebra, Mathematics

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Find the third vertex of a triangle, Find the third vertex of a triangle if...

Find the third vertex of a triangle if its two vertices are (-1, 4) and (5, 2) and mid point of one side is (0, 3).

Math, The Timbuktu post office has only 3 cents and 7 cents stamps having r...

The Timbuktu post office has only 3 cents and 7 cents stamps having run out of all other denominations. What are the six amounts of postage that cannot be created? How do you know

Write algorithm for the multiplication of a 3-digit number, E1) Why do we s...

E1) Why do we shift the place by one, of the result in the second row of the calculation, when we multiply, say, 35 by 237 E2) Write down the algorithm for the multiplication of

Show that the vector is in the perfect matching polytope, 1.  Let G = (V,E)...

1.  Let G = (V,E) be a graph for which all nodes have degree 5 and where G is 5-edge is connected. a) Show that the vector x which is indexed by the edges E and for which x e =

Evaluate the limit, Evaluate the given limit. Solution : It is a ...

Evaluate the given limit. Solution : It is a combination of many of the functions listed above and none of the limited are violated so all we have to do is plug in x = 3

Find the quadratic polynomial, Find the Quadratic polynomial whose sum and ...

Find the Quadratic polynomial whose sum and product of zeros are √2 + 1, 1/ √2 + 1 Ans:    sum = 2  √2 Product = 1 Q.P = X 2 - (sum) x + Product ∴ x 2 - (2 √2 )

Determine the equation of plane - three dimensional space, Determine the eq...

Determine the equation of the plane that consists of the points P = (1, -2, 0), Q = (3, 1, 4) and R = (0, -1, 2). Solution To write down the equation of plane there is a re

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Example of linear equations, Example of Linear Equations: Solve the eq...

Example of Linear Equations: Solve the equation 2x + 9 = 3(x + 4). Solution: Step 1. Using Axiom 2, subtract 3x and 9 from both sides of the equation. 2x + 9 = 3(

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