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2. Line (geometry) - Wikipedia

   en.wikipedia.org/wiki/Line_(geometry)

   These equations can be derived from the normal form of the line equation by setting = ⁡, and = ⁡, and then applying the angle difference identity for sine or cosine. These equations can also be proven geometrically by applying right triangle definitions of sine and cosine to the right triangle that has a point of the line and the origin as ...

3. Linear equation - Wikipedia

   en.wikipedia.org/wiki/Linear_equation

   Vertical line of equation x = a Horizontal line of equation y = b. Each solution (x, y) of a linear equation + + = may be viewed as the Cartesian coordinates of a point in the Euclidean plane. With this interpretation, all solutions of the equation form a line, provided that a and b are not both zero. Conversely, every line is the set of all ...

4. Canonical form - Wikipedia

   en.wikipedia.org/wiki/Canonical_form

   The equation of a line: Ax + By = C, with A 2 + B 2 = 1 and C ≥ 0; The equation of a circle: () + = By contrast, there are alternative forms for writing equations. For example, the equation of a line may be written as a linear equation in point-slope and slope-intercept form.

5. Distance from a point to a line - Wikipedia

   en.wikipedia.org/.../Distance_from_a_point_to_a_line

   This proof is valid only if the line is neither vertical nor horizontal, that is, we assume that neither a nor b in the equation of the line is zero. The line with equation ax + by + c = 0 has slope -a/b, so any line perpendicular to it will have slope b/a (the negative reciprocal). Let (m, n) be the point of intersection of the line ax + by ...

6. Linear algebra - Wikipedia

   en.wikipedia.org/wiki/Linear_algebra

   In three-dimensional Euclidean space, these three planes represent solutions to linear equations, and their intersection represents the set of common solutions: in this case, a unique point. The blue line is the common solution to two of these equations. Linear algebra is the branch of mathematics concerning linear equations such as:

7. Minnesota Parents Who Locked Their Kids in Cages for ‘Their ...

   www.aol.com/minnesota-parents-locked-kids-cages...

   A Minnesota couple has reportedly been sentenced to four years after they locked their children in cages for "their safety." Benjamin and Christina Cotton from Red Wing, were sentenced by a ...

8. Multilinear algebra - Wikipedia

   en.wikipedia.org/wiki/Multilinear_algebra

   Multilinear algebra is the study of functions with multiple vector-valued arguments, with the functions being linear maps with respect to each argument. It involves concepts such as matrices, tensors, multivectors, systems of linear equations, higher-dimensional spaces, determinants, inner and outer products, and dual spaces.

9. When are College Football Playoff rankings released? What to know

   www.aol.com/college-football-playoff-rankings...

   The chatter started awhile ago, once the weekly College Football Playoff rankings began and the potentially controversial decisions that were inevitable with an expanded field of 12 teams became ...