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(M1) What direction does friction act in? What are the friction equations both generally and in limiting equilibrium? What does it mean for a system to be in equilibrium?

Friction always acts in the opposite direction to motion (or the potential motion) and Friction (Fr) acts as follows: In every case: Fr ≤ 𝜇R (where 𝜇 is the coefficient of friction and R is the reaction forc...
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Answered by Jasmine S. Maths tutor
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How do you use the completing the square method to solve a quadratic equation?

First you need to get the quadratic equation in completed square form. This looks like: (x+p)^2 + q To put an expression in completed square form you can use this formula: x^2 + 2bx + c = (x+b)^2 - b^2 + c O...
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Answered by Caroline P. Maths tutor
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Solve 5x - 2 > 3x + 11

When solving inequalities the first step is to put the unknown, in this case x, on the same side of the inequality sign. Remember when you move values to the other side of a sign they change their charge as ...
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Answered by Sarina R. Maths tutor
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The time, T seconds, it takes a water heater to boil a constant mass of water is inversely proportional to the power, P watts, of the water heater. When P is 300, T is 20. What is T when P is 400?

This is a question regarding inverse proportion. This is when one value increases as the other decreases. For this question, the equation can be written as: T ∝ 1/P The directly proportional sign (∝) can be ...
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Answered by Scott A. Maths tutor
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What is the factor theorem?

The factor theorem helps us to find factors of polynomial equations, by substituting in number values for x to see whether the equation equals zero. For any polynomial P(x), the factor theorem would state th...
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Answered by Alex T. Maths tutor
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