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We have two straight lines AB and CD. The coordinates of A,B and C are A(1,3), B(5,9) and C(0,8). The point D lies on the line AB and is halfway between points A and B. Is the line CD perpendicular to AB?

First of all we need to find the coordinates of the point D. As D is halfway between the two points A and B, to find the midpoint of a line segment, we add the x coordinates then divide by 2, and add the ...

Answered by Bryony H. • Maths tutor

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Kevser buys 5kg of sweets for £10. She separates the sweets so that there are 250g of sweets in each bag. She sells each bag for 65p. She sells all bags. What is her percentage profit?

1kg = 1000grams 5kg = 5000 grams. 5kg will give 20 bags (5000/250). Total amount she will make from selling is £13. Hence, profit percentage is (13-10)/10*100. Which gives profit percentage since profit i...

Answered by Kevser T. • Maths tutor

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The equation of a straight line is 3x + 2y = 24. Find where the line crosses the x-axis.

Let's first think about what it means when the line crosses the x-axis. If we consider a normal x-y coordinate plane, every point on the x-axis has a y value of 0. So if we are trying to find out where th...

Answered by Angela D. • Maths tutor

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Find the turning points of the curve (x^3)/3 + x^2 -8x + 5

Step one, we need to assess what the question is asking us to do, in this case, find the turning points.The turning points on the graph are where the gradient is equal to zero, so in order to find the tur...

Answered by Ellie M. • Maths tutor

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