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Suppose we have a circle with the equation x^2 +y^2 =25. What is the equation to the tangent to the circle at point (4,3)?

Firstly lets draw it out-Draw a line from the origin to the point. calculate the change in y over change in x =(3-0)/(4-0)=3/4Take negative reciprocal which is equal to m. Then do y-y 1 =m(x-x 1 ) or y = mx ...
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Answered by Nayan M. • Maths tutor
3267 Views

Explain the impacts of rural to Urban migration in an urban area

Rural to urban migration is the process whereby people move form the countryside into cities and urban areas, often due to a range of pull and push factors. The impacts to an urban area can be negative. For ...
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Answered by Melissa G. • Geography tutor
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'Explore the Theme of Fate Within Shakepeare's Romeo and Juliet'

Within Shakespeare’s ‘Romeo and Juliet’, written in 1591, the theme of fate is arguably the catalyst for the defining events in the play, forcing the characters, especially the titular couple to seemingly ma...
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Of Mice & Men: Choose a character who you think is a victim of loneliness because of the society in which he or she lives. Write about this character, explaining the reasons for your choice.

It is arguable that within Of Mice and Men, that the personification of loneliness is that of Curley's wife. Given no name herself, she is always referred to as the property of Curley, causing her to be negl...
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Paul buys three pens and one pencil for £11 while Sam buys four pens and two pencil for £16 - what is the price of pens and pencils?

Read the question and translate the information into equations.'Three pens and one pencil for £11' can be written as 3x + y = 11 where x = pens and y = pencils. 'Four pens and two pencils for £16' can be wri...
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Answered by Isabelle S. • Maths tutor
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