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Solve (z-i)+(z+i)+(z-1)+(z-1)

Since we are dealing with complex numbers and taking its modulus, we can rewrite (z-i)=((-1)(i-z))=(i-z) doing the same for (z-1)=(1-z) we get (i-z)+(z+i)+(1-z)+(z-1)=(i+i+z-z+1+1+z-z) =(2i+2)=4 as we are ta...
YZ
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What are the four chambers of the heart and what do they do?

The four chambers are called the right atrium, the left atrium, the right ventricle and the left ventricle. Deoxygenated blood enters the right atrium and is pumped into the right ventricle. The blood is the...
HM
Answered by Hannah M. • Biology tutor
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Solve the quadratic equation X^2+3X+2=0 by factorisation.

There are different ways of solving quadratic equations but this one asks for you to solve by factorisation. This is where you take the equation on the left hand side and rewrite it into brackets - two bits ...
AM
Answered by Annabelle M. • Maths tutor
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List the following compounds in order of increasing acidity in aqueous solution, giving reasons for your choices: HCl, HI, HBr, HF.

The acidity of a compound is measured by its pKa, which is defined as: pKa=-log([H + ]) ([H + ] is the concentration of H + in solution). As [H + ] increases, pKa decreases, meaning strong acids have low pKa...
PS
Answered by Promeet S. • Chemistry tutor
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Why does adding a constant to a function's input (as in f(x-a)) shift the plot of the function along the x-axis?

Imagine the function f(x) as a black box which takes in any value x and produces an output y. The black box acts on its input according to a rule which produces a unique value of y for a given x. If the blac...
JH
Answered by James H. • Maths tutor
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