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White paint costs £2.80 per litre. Blue paint costs £3.50 per litre. White paint and blue paint are mixed in the ratio 3 : 2 Work out the cost of 18 litres of the mixture.

First it's importance to clarify what the question is asking: we're looking for the price of 18 litres of paint that is part white paint and part blue paint. One way to answer the question is to understand t...
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Answered by Babak S. • Maths tutor
23191 Views

A circle with equation x^2+y^2-2x+8y-40=0. Find the circle centre and the radius

2g=-2, -g=1. 2f=-8, -f=4. cc(-2,4). r=√(g^2+f^2-c)=√(4+16+40)=√80=4√5
LM
Answered by Liam M. • Maths tutor
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Integrate ∫x^4+5x^3+sin(2x) dx

∫x^4+5x^3+sin(2x) dx So a basic rule for x functions is that 1. Add 1 to the power 2. divide by the new power. So lets do this for the 2 x terms 1/5x^5+5/4 x^4 Now lets look at the sin(2x). A general rule fo...
LM
Answered by Liam M. • Maths tutor
6782 Views

A line joins 2 points (2,9) and (5,4). Calculate the gradient of the straight line and then write down the equation of the straight line.

The first thing to do is to look at the points given and decide if you are going to get a negative or positive gradient. We can determine, from inspection that the gradient will be negative because as the x ...
LM
Answered by Liam M. • Maths tutor
5485 Views

Find the roots of 2x^2-5x-6=0 to 3dps

if we see the phrase "to N dps" this is a big hint to use the quadratic formula. The first thing we have to do is to is pick out the co-efficients ax^2+bx+c=0 a=2, b=-5, c=-6 Now we can pug these n...
LM
Answered by Liam M. • Maths tutor
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