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The point P has coordinates (3, 4) The point Q has coordinates (a, b) A line perpendicular to PQ is given by the equation 3x + 2y = 7 Find an expression for b in terms of a

Perpendicular gradients multiply to give -1. The gradient of the perpendicular line (y=-3/2x+7/2) is -3/2 , so the gradient of PQ is 2/3. Using gradient formula change in y/ change in x :(4-b)/(3-a) = 2/3 Si...
LD
Answered by Lizzie D. • Maths tutor
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Explain how nucleophilic substitution for a haloalkane actually occurs?

In a haloalkane, not all of the bonds are the same. We have to consider the fact that the halogen atom (for instance a bromine atom) is more electronegative than either carbon or hydrogen atoms, and has a te...
NK
Answered by Naman K. • Chemistry tutor
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f(x) = x^2 + 2x - 3. Where does the graph of the function f intersect the x-axis?

First, let's use the discriminant to check that the function actually does intersect the x-axis. b 2 -4ac = 4-(4 x -3) = 4+12 = 16, which is greater than 0, so we're fine. The function intersects the x-axis ...
GM
Answered by George M. • Maths tutor
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How should I structure a philosophy essay?

The most important thing is to have an argument running through your whole paper and to be very clear throughout what the overall conclusion you are aiming at is. A good idea, especially in shorter papers, i...
Answered by • Philosophy tutor
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James buys a new car for £1000. Every year the value of the car decreases by 3%. If James bought the car in 2017 what would the value of the car be in 2021?

First work out how many years have passed since the car was bought. 2017-2021 is 4 years. Write an expression for the cost of the car after n years. Cost = 1000 * 0.97 n . Write down an expression for the co...
WG
Answered by William G. • Maths tutor
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