Do I know how to . . . ?
... Draw a line graph when given the equation of the line, e.g. y = 2x + 4 Find probability Use bearings Rotate, reflect and translate shapes on a coordinate grid and describe a single transformation Enlarge a shape by a scale factor Solve algebraic equations with unknowns on both sides, like 2x + 4 = x ...
... Draw a line graph when given the equation of the line, e.g. y = 2x + 4 Find probability Use bearings Rotate, reflect and translate shapes on a coordinate grid and describe a single transformation Enlarge a shape by a scale factor Solve algebraic equations with unknowns on both sides, like 2x + 4 = x ...
Pythagorean Triples
... If x and y are the legs of a right triangle and z is the hypotenuse, then Pythagoras' theorem says x2 + y2 = z 2 . A triple of integers x y z is a Pythagorean triple if it satis es x2 + y2 = z 2 . (In what follows, I'll assume that x, y, and z are positive integers.) For example 3 4 5 is a Pytha ...
... If x and y are the legs of a right triangle and z is the hypotenuse, then Pythagoras' theorem says x2 + y2 = z 2 . A triple of integers x y z is a Pythagorean triple if it satis es x2 + y2 = z 2 . (In what follows, I'll assume that x, y, and z are positive integers.) For example 3 4 5 is a Pytha ...
Angle Review
... Put x-values in L1 and y-values in L2. Go to STAT – CALC and select 5: QuadReg Write down values calculator gives for a, b and c for quadratic equation above. Use new equation to predict values inside bounds of data (interpolation) or to predict values beyond the bounds of the data (extrapolation). ...
... Put x-values in L1 and y-values in L2. Go to STAT – CALC and select 5: QuadReg Write down values calculator gives for a, b and c for quadratic equation above. Use new equation to predict values inside bounds of data (interpolation) or to predict values beyond the bounds of the data (extrapolation). ...
On the Equation Y2 = X{ X2 + p - American Mathematical Society
... License or copyright restrictions may apply to redistribution; see http://www.ams.org/journal-terms-of-use ...
... License or copyright restrictions may apply to redistribution; see http://www.ams.org/journal-terms-of-use ...
Equation
In mathematics, an equation is an equality containing one or more variables. Solving the equation consists of determining which values of the variables make the equality true. In this situation, variables are also known as unknowns and the values which satisfy the equality are known as solutions. An equation differs from an identity in that an equation is not necessarily true for all possible values of the variable.There are many types of equations, and they are found in all areas of mathematics; the techniques used to examine them differ according to their type.Algebra studies two main families of equations: polynomial equations and, among them, linear equations. Polynomial equations have the form P(X) = 0, where P is a polynomial. Linear equations have the form a(x) + b = 0, where a is a linear function and b is a vector. To solve them, one uses algorithmic or geometric techniques, coming from linear algebra or mathematical analysis. Changing the domain of a function can change the problem considerably. Algebra also studies Diophantine equations where the coefficients and solutions are integers. The techniques used are different and come from number theory. These equations are difficult in general; one often searches just to find the existence or absence of a solution, and, if they exist, to count the number of solutions.Geometry uses equations to describe geometric figures. The objective is now different, as equations are used to describe geometric properties. In this context, there are two large families of equations, Cartesian equations and parametric equations.Differential equations are equations involving one or more functions and their derivatives. They are solved by finding an expression for the function that does not involve derivatives. Differential equations are used to model real-life processes in areas such as physics, chemistry, biology, and economics.The ""="" symbol was invented by Robert Recorde (1510–1558), who considered that nothing could be more equal than parallel straight lines with the same length.