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  2. Five-room puzzle - Wikipedia

    en.wikipedia.org/wiki/Five-room_puzzle

    But, we have three rooms with five walls. The solution line has one start and one end, so it can pass through all five walls of two of these rooms. However, having run out of ends, the line can not pass through all of the walls of the third five-walled room. Therefore, the solution line cannot be drawn to obey the rules.

  3. Three utilities problem - Wikipedia

    en.wikipedia.org/wiki/Three_utilities_problem

    It has nine edges, one edge for each of the pairings of a house with a utility, or more abstractly one edge for each pair of a vertex in one subset and a vertex in the other subset. Planar graphs are the graphs that can be drawn without crossings in the plane, and if such a drawing could be found, it would solve the three utilities puzzle. [13 ...

  4. Equation solving - Wikipedia

    en.wikipedia.org/wiki/Equation_solving

    In the simple case of a function of one variable, say, h(x), we can solve an equation of the form h(x) = c for some constant c by considering what is known as the inverse function of h. Given a function h : A → B, the inverse function, denoted h −1 and defined as h −1 : B → A, is a function such that

  5. Linear equation - Wikipedia

    en.wikipedia.org/wiki/Linear_equation

    A non-vertical line can be defined by its slope m, and its y-intercept y 0 (the y coordinate of its intersection with the y-axis). In this case, its linear equation can be written = +. If, moreover, the line is not horizontal, it can be defined by its slope and its x-intercept x 0. In this case, its equation can be written

  6. Today’s NYT ‘Strands’ Hints, Spangram and Answers ... - AOL

    www.aol.com/today-nyt-strands-hints-spangram...

    Today's spangram answer on Friday, January 17, 2025, is GENERATIONGAP. What Are Today’s NYT Strands Answers, Word List for Friday, January 17? MILLENNIAL. ALPHA. BOOMER. GREATEST. ZOOMER.

  7. System of linear equations - Wikipedia

    en.wikipedia.org/wiki/System_of_linear_equations

    For a system involving two variables (x and y), each linear equation determines a line on the xy-plane. Because a solution to a linear system must satisfy all of the equations, the solution set is the intersection of these lines, and is hence either a line, a single point, or the empty set.

  8. NYT ‘Connections’ Hints and Answers Today, Sunday, January 19

    www.aol.com/nyt-connections-hints-answers-today...

    Spoilers ahead! We've warned you. We mean it. Read no further until you really want some clues or you've completely given up and want the answers ASAP. Get ready for all of today's NYT ...

  9. NYT Connections Sports Edition Today: Hints and Answers for ...

    www.aol.com/nyt-connections-sports-edition-today...

    Hints for Today's Connections Sports Edition Categories on February 10, 2025. Here are some hints about the four categories to help you figure out the word groupings.

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