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Solve the simultaneous equations 4x + 5y = 13 and 3x - 2y = 27.

Using the elimination method to remove the variable x, we need both equations to have the same values of x. To do this we find the lowest common multiple of the x values: the lowest common multiple of 3 a...

Answered by Christy H. • Maths tutor

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How do you form the imperfect past tense and what is the difference between the preterite and the imperfect tense?

The imperfect past tense is formed with the endings:AR verbs Yo - abatú - abasel/ella - aba nosotros - abamos vosotros - abais ellos/ellas - aban ER and IR verbs yo - ía tú - ías el/ella - ía nosotros - í...

Answered by Lucy C. • Maths tutor

3143 Views

Solve 29cosh x – 3cosh 2x = 38 for x, giving answers in terms of natural logarithms

Firstly, we need the equation to be in terms of one cosh argument if possible, which can be done by the identity cosh 2x = 2cosh²x - 1. Upon substitution and simplification we get 6cosh²

Answered by Jacob C. • Maths tutor

4844 Views

How do you rationalise surds?

Irrational surds occur when a fraction's denominator is a surd, leaving the fraction in a messy way. To rationalise surds, the general rule is that you multiply the both the denominator and the numerator ...

Answered by Baraka M. • Maths tutor

3033 Views

Find the gradient of the tangent to the curve y=4x^2 - 7x at x = 2

First, we differentiate our equation using the power rule:dy/dx = 8x - 7This is the gradient of our tangent, to the original equation, at any point x. So, to calculate the gradient at x = 2, we substitute...

Answered by Luke A. • Maths tutor

4817 Views