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Write x^2 + 8x + 7 in the form (x + a)^2 + b

We work from right to left (x + a) 2 = x 2 + 2ax + a 2 2a = 8 [coefficients of x must match] a = 4 (x + 4) 2 = x 2 + 8x + 16 [substitute in a = 4] x 2 + 8x + 16 + b = x 2 + 8x + 7 [equate sides and solve for...
WM
Answered by Will M. Maths tutor
14901 Views

Compare the ways poets present ideas about the ‘power of humans’ in “Ozymandias’’ and in one other poem from Power and Conflict?

Introduction? Topic Sentence In this essay I will be exploring how the theme of the ‘power of humans’ is presented by Percy Bysshe Shelley and Robert Browning in 'My Last Duchess' which were written in 1818 ...
LR
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What is £23 increased by 4%?

There are two steps to solving this problem. First, we want to find out how much the increase itself is, so we want to calculate 4% of £23. Then, we want to add the result to the £23. That will give us the f...
GB
Answered by Giulia B. Maths tutor
5726 Views

What is natural selection?

Natural selection is when certain characteristic are 'selected' for. Each species have simiar characteristics but differences in genes means that their characteristics can vary for example individual birds o...
AM
Answered by Anna M. Biology tutor
3294 Views

How do I recognise techniques and analyse them?

When given a piece of writing, always look for 'like' or 'as'. If an object, for example, a car is described to be 'like' a snail or 'as' slow as a snail, this is a simile. A simile compares something, to so...
GP
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