0
What else can I help you with?
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.
Is the distance formula derived from Pythagorean theorem?
Yes, the distance formula for a line segment was derived from Pythagoras' theorem.
Is Pythagorean theorem is derived from the distance formula?
Yes, the distance formula for a line segment was derived from Pythagoras' theorem.
Can the distance formula can be derived from the Pythagorean theorem?
Yes, the formula for the Euclidean distance. But not necessarily other distance metrics.
The distance formula is derived from the Pythagorean theorem. true or false?
True
What is better the pythagorean therom or the disance formula?
Better for what??? Actually, both are closely related. The distance formula is derived from the Pythagorean theorem.
Is this true or false the distance formula is equivalent to the Pythagorean theorm if your trying to find the distance between a point in the plane and the origin?
True. The distance formula, which is derived from the Pythagorean theorem, calculates the distance between two points in a plane. When finding the distance between a point ((x, y)) and the origin ((0, 0)), the formula simplifies to (d = \sqrt{x^2 + y^2}), which directly corresponds to the Pythagorean theorem. Thus, in this specific case, the distance formula is indeed equivalent to the Pythagorean theorem.
When did Pythagoras invent the distance formula?
Pythagoras did not invent the distance formula as we know it today; however, he is credited with the Pythagorean theorem, which is foundational to the distance calculation in a Cartesian coordinate system. The distance formula, derived from the Pythagorean theorem, was formalized much later, in the context of coordinate geometry, which developed in the 17th century with the work of mathematicians like René Descartes. Thus, while Pythagoras' theorem laid the groundwork, the distance formula itself was not attributed to him.
Is The pythagorean theroem derived from the distance formula?
the answer is false
Who derived the pythagorean theorem?
Pythagoras
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.
Why did Pythagoras invent the distance formula?
Pythagoras did not directly invent the distance formula as we know it today; rather, he is credited with the Pythagorean theorem, which describes the relationship between the sides of a right triangle. The distance formula, derived from this theorem, calculates the distance between two points in a Cartesian plane. It emerged later as a mathematical application of Pythagorean principles, allowing for the measurement of distance in coordinate geometry. Thus, while Pythagoras laid the groundwork, the formula itself was developed through subsequent advancements in mathematics.
The distance formula is equivalent to the Pythagorean theorem if you are trying to find the distance between a point in the plane and the origin.?
The distance formula, given by ( d = \sqrt{x^2 + y^2} ), calculates the distance from a point ((x, y)) to the origin ((0, 0)). This formula is derived from the Pythagorean theorem, where the legs of a right triangle are the horizontal and vertical distances from the point to the axes. Thus, the distance represents the hypotenuse of the triangle formed, confirming the equivalence between the two concepts.
