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The line AB has equation 5x + 3y + 3 = 0. The line AB is parallel to the line y = mx + 7. Find the value of m.

Rearrange AB into y = mx + c format: 1) 3y = -3 - 5x 2) y = - 5/3 x - 1 Compare equation with y = mx + c Conclude m = - 5/3 You can also deduce the y-intercept of AB is -1.
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Answered by Emanuel D. • Maths tutor
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Rearrange the following to make m the subject: 4(m - 2) = t (5m +3)

Expand the brackets: 4m - 8 = 5tm + 3t Collect all m variables to one side: 4m - 5tm = 3t + 8 Take a factor of m out: m(4 - 5t) = 3t + 8 Divide both sides by (4 - 5t): m = (3t + 8) / (4 - 5t)
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Answered by Emanuel D. • Maths tutor
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Assess the relationship between sociology and science. (33 marks)

Introduction There is a general consensus understanding that natural science produces true knowledge of the world, which can be used to help us improve the way we live.There is still a debate about whether o...
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Answered by Sophie M. • Sociology tutor
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How do you answer a source based question?

(Assuming you are completing an A-level source question like the one in Edexcel papers) First of all, read the sources very carefully. When reading them, use 3 different coloured highlighters for each of the...
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Answered by Tara L. • History tutor
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How do I convey my desire to study Medicine?

The key in Medical School applications is to 'show not tell'. An application is much stronger if a student has lots of evidence and examples of their enthusiasm towards the subject, rather than cliche phrase...
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