emathematics.net

User:

Matrices
Algebra
Geometry
Graphs and functions
Trigonometry
Coordinate geometry
Combinatorics

Producto por escalar

Monomials	Polynomials	Special products	Equations	Quadratic equations
Radical expressions	Systems of equations	Sequences and series	Inner product	Exponential equations
Matrices	Determinants	Inverse of a matrix	Logarithmic equations	Systems of 3 variables equations

Pythagorean Theorem

Graphs	Definition of slope	Positive or negative slope	Determine slope of a line	Equation of a line	Equation of a line (from graph)
Quadratic function	Parallel, coincident and intersecting lines		Asymptotes	Limits	Distances
	Continuity and discontinuities

Pythagorean Theorem	Sine	Cosine	Tangent	Cosecant	Secant	Cotangent	Trigonometric identities
Trigonometric functions of an acute angle	Trigonometric functions of related angles			Solving right triangles		Law of cosines	Law of sines

Equations of a straight line

Parallel, coincident and intersecting lines

Distances

Angles in space

Factorial	Variations without repetition	Variations with repetition	Permutations with repetition	Permutations without repetition
Exercises	Circular permutations	Binomial coefficient	Combinations with repetition	Combinations without repetition

	Arithmetic mean

Coordinate geometry

Distance between two points in the plane

The distance between two points, A, and B, can be expresssed in terms of their coordinates by using the Pythagorean theorem. Let the coordinates of A, be (x₁,y₁) and let those of B be (x₂,y₂), as shown in figure:

By the Pythagorean theorem, the distance between two points A=(x₁,y₁) and B=(x₂,y₂) in the plane is given by the formula:

The distance between A=(-2,5) and B=(6,12) is given by:

Find the distance between the points A=(-5,6) and B=(1,-2)

D =