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The equation of a curve is y = (x + 3)^2 + 5. Find the coordinates of the turning point.

We are asked to find the coordinates of the turning point of a line, and we should first remind ourselves of what this means. A turning point on a line is either a maximum or minimum point, or a point of inf...
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Answered by Marnie S. • Maths tutor
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There are 10 boys and 20 girls in a class. The mean mark for the class is 60, the mean mark for the girls is 54. Work out the mean mark for the boys.

Answer: The boys mean mark is 72.Explanation:Start by writing down all the information given in the question: (number of boys = 10, number of girls = 20, girls mean = 54, class mean = 60)Then have a think ab...
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Answered by Verity B. • Maths tutor
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How do you solve simultaneous equations?

A simultaneous equation is when we have 2 equations which both have X and Y in them. The best way to solve these equations is to rearrange one of them to make either X or Y the subject, and then substitute i...
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Answered by Charlie N. • Maths tutor
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Differentiate y = x^2 + 3x + 5

y = x 2 + 3x + 5 dy/dx = 2x + 3
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Answered by Jonny M. • Maths tutor
7589 Views

The co-ordinates of P and Q respectively are (-9,7) and (11,12). M is on the line PQ such that PM:MQ = 2:3. L passes perpendicularly through M. What is the equation of L?

Draw a visual representation of P, Q, M and L.Work out the gradient of PQ to be 1/4.Know that the gradient of 2 lines perpendicular to each other multiplied is -1, therefore the gradient of L = -4. Work out ...
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Answered by Varun A. • Maths tutor
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