Subject: Mathematics
Book: Maths Mastery
Parametric equations define x and y in terms of a parameter t, like x=f(t), y=g(t). For instance, a circle can be paramed as x=r cos(t), y=r sin(t). Solving parametric equations can mean eliminating t (e.g., dividing y/x= tan(t)) or analyzing motion (velocity, acceleration). Parametrics appear in projectile motion or curved paths. Mastery ensures you can switch between parametric and standard forms or interpret real-world trajectory data with straightforward geometry or algebra tools.
If 2a + b = 10 and a - b = 4, what is the value of a?
View QuestionThe perimeter of a rectangle is 40 cm, and its length is 12 cm. What is its width?
View QuestionIf a cone has a radius of 5 cm and a height of 12 cm, what is its slant height?
View QuestionIf x^2 - 6x + 9 = 0, what is the value of x?
View QuestionThe sum of the squares of two consecutive integers is 145. What are the integers?
View QuestionIf x = 2 and y = 3, what is the value of (x^2 + y^2)?
View QuestionIf the sum of the angles of a polygon is 1080°, how many sides does the polygon have?
View QuestionIf the perimeter of a square is 36 cm, what is the length of its diagonal?
View QuestionIf sin(x) = 3/5 and x is in the first quadrant, what is cos(x)?
View QuestionIf x - y = 5 and x + y = 15, what is the value of x?
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