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is a system of three equations in the three variables x, y, z. A solution to a linear system is an assignment of values to the variables such that all the equations are simultaneously satisfied. In the example above, a solution is given by the ordered triple since it makes all three equations valid.
The inverse operation of multiplication is division. For example, since 4 multiplied by 3 equals 12, 12 divided by 3 equals 4. Indeed, multiplication by 3, followed by division by 3, yields the original number. The division of a number other than 0 by itself equals 1.
Product (mathematics) In mathematics, a product is the result of multiplication, or an expression that identifies objects (numbers or variables) to be multiplied, called factors. For example, 21 is the product of 3 and 7 (the result of multiplication), and is the product of and (indicating that the two factors should be multiplied together).
The square of an integer may also be called a square number or a perfect square. In algebra, the operation of squaring is often generalized to polynomials, other expressions, or values in systems of mathematical values other than the numbers. For instance, the square of the linear polynomial x + 1 is the quadratic polynomial (x + 1)2 = x2 + 2x ...
40-yard dash The 40-yard dash is a sprint covering 40 yards (36.576 m). It is primarily run to evaluate the speed and acceleration of American football players by scouts, particularly for the NFL draft but also for collegiate recruiting. A player's recorded time can have a heavy impact on his prospects in college or professional football. This was traditionally only true for the "skill ...
Three-year-old Skye McBride survived after accidentally shooting herself in the head on Valentine's Day. Her father faces charges under Michigan’s new gun storage law.
hide. Proof without words of the AM–GM inequality: PR is the diameter of a circle centered on O; its radius AO is the arithmetic mean of a and b. Using the geometric mean theorem, triangle PGR's altitude GQ is the geometric mean. For any ratio a:b,AO ≥ GQ. Visual proof that (x + y)2 ≥ 4xy. Taking square roots and dividing by two gives the ...
If you’re stuck on today’s Wordle answer, we’re here to help—but beware of spoilers for Wordle 1107 ahead. Let's start with a few hints.