Top answers

Write √ 45 in the form a √ 5, where a is an integer.

You can separate any surd into factors of the number that is being square rooted, for example when you have a surd such as √ 12 it can be rewritten as √ 2 X √ 6 or √ 3 X √ 4. This is very useful when we work...
AG
Answered by Aaron G. • Maths tutor
23541 Views

How do you differentiate the curve y = 4x^2 + 7x + 1? And how do you find the gradient of this curve?

To begin with, this question requires you to differentiate the curve y = 4x 2 + 7x +1 in order to find the gradient. To differentiate this function y in respect to x, we need to reduce the powers by one, for...
KS
Answered by Katie S. • Maths tutor
4959 Views

What is the role of consideration in English contract law?

Pursuant to the common law’s economic view of contracts, the English conception of contracts requires the exchange of reciprocal obligations. It is frequently said that, historically, the fundamental purpose...
MB
Answered by Marius B. G. • Law tutor
4041 Views

If the hypotenuse of a triangle is 7cm and another side is 4cm, what's the length of the other side? How can I work this out?

The phenomenon you're describing is called 'Pythagoras theorem'. Let's go through it together. You have a right angled triangle, with the hypothesis and one side given. The pythagoras theorem gives you a for...
NK
Answered by Najmeh K. • Maths tutor
4230 Views

Which of the following was the more important reason why the Weimar Republic was in danger in the years 1919–1923: economic problems or political unrest?

The Weimar Republic was undermined by both economic problems and by political unrest. The Treaty of Versailles had ramifications for both national morale and for German economic growth, as it forced Germany ...
JR
Answered by Jennifer R. • History tutor
17003 Views