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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
15087 Views

How do I do definite integrals?

A definite integral is an indefinite integral with set limits. If we consider integration as a way of calculating the area under a curve, a definite integral calculates the area under the curve between two p...
CJ
Answered by Charlie J. • Maths tutor
4095 Views

How does a signal move from one neurone to another and how does this process change for different motor responses?

The transmission of an action potential- the signal- from one neurone to another occurs over the synapse. The structure of a synapse is as follows; there is a presynaptic bulb, a post synaptic bulb and the s...
AH
Answered by Amy H. • Biology tutor
3549 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
14551 Views

I find poetry very difficult - what if I don't understand the poem in the interview?

Firstly, do not panic! During my interview I had no idea that the poem they gave me was an allegory for the process of writing poetry, but I was able to work with what I could deduce from the poem. Try and u...
JT
2612 Views