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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...

Answered by Lizzie D. Maths tutor
2720 Views

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...

Answered by Naman K. Chemistry tutor
1598 Views

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. b2-4ac = 4-(4 x -3) = 4+12 = 16, which is greater than 0, so we're fine.
T...

Answered by George M. Maths tutor
2754 Views

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...

Answered by Philosophy tutor
961 Views

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

Answered by William G. Maths tutor
2375 Views

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