Subject: Mathematics
Book: Maths Mastery
In a 2D coordinate plane, the distance between two points (x₁, y₁) and (x₂, y₂) is given by √[(x₂ – x₁)² + (y₂ – y₁)²]. For instance, the distance between (2, 3) and (6, 7) is √[(6 – 2)² + (7 – 3)²] = √(4² + 4²) = √32 = 4√2. Derived from the Pythagorean Theorem, the distance formula is pivotal in map reading, robotics pathfinding, or designing game environments. Familiarity with it ensures you can measure and compare positional relationships quickly and accurately in a variety of analytical tasks.
What is the sum of the first 10 positive even numbers?
View QuestionIf a rectangle has a length of 10 cm and a width of 6 cm, what is its perimeter?
View QuestionIf x^2 - 6x + 9 = 0, what is the value of x?
View QuestionWhat is the cube of 4?
View QuestionA square is inscribed in a circle with a radius of 5 cm. What is the area of the square?
View QuestionWhat is the slope of a line passing through the points (2, 3) and (4, 7)?
View QuestionThe probability of getting an even number when rolling a die is:
View QuestionIf a cone has a base radius of 3 cm and height of 4 cm, what is its slant height?
View QuestionA rectangle has a length of 10 cm and a width of 5 cm. What is the diagonal of the rectangle?
View QuestionIf the length of a rectangle is doubled and the width is halved, what is the change in area?
View Question