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The two points (4,9) and (2,3) are on line A. A second line, line B is perpendicular to line A and goes through the point (2,3). What is the equation of line B?

Step 1, find the gradient of line A: gradient = change in y/change in x = (y1 - y2) / (x1 - x2) = 9-3/4-2 = 6/2 = 3Step 2, find the gradient of line B: as the two lines are perpendicular, the gradient of lin...
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Answered by Georgia W. Maths tutor
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Analyse the relationship between Romeo and Mercutio in the following passage. (Act 3, Scene 1)

In the above passage, Shakespeare captures the dedication Mercutio feels for Romeo. Mercutio's aggression towards Tybalt demonstrates the rage he feels when Romeo is insulted. Shakespeare emphasises Mercutio...
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Answered by Isobel J. English tutor
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When do I need to use the subjunctive?

There are several types of phrases which can trigger the subjunctive. These are easy to remember with the acronym WEIRDO. W - wishes, when you want something to happen (Espero/ deseo que). E - emotion to con...
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Answered by James A. Spanish tutor
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What is a derivative and how are they used?

A derivative is a function that tells us the gradient of a curve at any point. Say you have a function like f(x)=x 3 +x 2 and you want to know when the function is stationary, i.e. has a gradient of zero. We...
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Answered by Nikhil S. Maths tutor
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How do governments use fiscal policy?

Fiscal policy involves using taxation revenue and government spending to improve the state of the economy. During times of recession and crisis, governments will often use expansionary fiscal policy (lower t...
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Answered by Nikhil S. Economics tutor
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