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The equation of a circle is x^2-6x+y^2+4y=12. Complete the square to find the centre and radius of the circle.

When we complete the square, we're looking for an equation that looks like (x-a) 2 + (y-b) 2 = r 2 , where (a,b) is the centre and r is the radius. When we expand brackets using FOIL, the x part is (x 2 -2ax...
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Answered by Hubert A. • Maths tutor
5764 Views

Alcohol A has the chemical formula CH3CH(OH)CH2CH(CH3)CH3 . Give the IUPAC name for alcohol A.

Firstly I would get the student to draw out the structure of the alcohol and check whether they were able to place the alcohol groups and side chains in the right place on the chain. Then I take would them t...
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Answered by Emma B. • Chemistry tutor
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differentiate- X^3- 2X^2+3

3-1=2 2X2 = 4 2-1= 1 =3x^2- 4x
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Answered by Radhika T. • Maths tutor
4876 Views

Explain the concept of 'chemiosmosis' in oxidative phosphorylation

The process of chemiosmosis essentially addresses the issue of storing chemical energy into a specific bond. The conversion from chemical energy in the coenzymes, such as NADH and FADH 2 to ATP cannot occur ...
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Answered by Narut P. • Biology tutor
5807 Views

Prove by induction that the sum of the first n integers can be written as (1/2)(n)(n+1).

For n = 1, the sum is given by (1/2)(1)(1+1), which gives 1, the expected result. We now assume that the statement is true for some k. If we look at k+1, the sum is given by 1 + 2 + ... + k + (k+1). Since we...
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