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Which formula can be derived by using the Pythagorean theorem in the coordinate plane?
The Pythagorean theorem, which is the square root of the sum of the squares of two sides of a right triangle is equal to the hypotenuse, can be used to find the distance between two points. This means that it can also be used to find the equation of a line.
Which is the result derived from the pythagorean theorem?
If you know any two sides of a triangle (and know that one of the angles is a right angle), you can calculate the third side. Also, if you know the third side of a triangle, you can check whether the angle opposite the hypothenuse is a right angle or not.
What is the origin of the quadratic formula?
The quadratic formula is derived by completing the square. That is as much as I can tell you.
How was the quadratic formula developed?
The quadratic formula can be derived by used a method called completing the square. It's like using algebra to solve for x. The process is explained the related link "Derivation of Quadratic Formula".
How e derived?
e is derived in several different ways.One way is the infinite sum:e = 1 + 1/1! + 1/2! + 1/3! + ...Another is to note that the function 2^x has a gradient of approx 0.6931*2^x while 3^x has a gradient of 1.0986*3^x. Therefore by continuity (and the intermediate value theorem), there must be a value between 2 and 3 such that the gradient of the curve has the same value as the curve. This value is e.
