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Triangle ABC has perimeter 20 cm. AB = 7 cm. BC = 4 cm. By calculation, deduce whether triangle ABC is a right-angled triangle.

This is a question I recently tackled with one of my tutees from the edexcel GCSE specimen papers. I would begin to tackle any geometry question like this by drawing the triangle in question. We are given...

CH
Answered by Carter H. Maths tutor
5066 Views

What is the gradient of a line with the equation y=4x+5?

The Gradient is 4, this is because this is a straight line graph and it is in the form of y=mx+c, with m being the gradient and c being the y intercept. If the equation was y=6x+3, the gradient would be 6...

TM
Answered by Tom M. Maths tutor
12423 Views

Differentiate y=ln(x)+5x^2, and give the equation of the tangent at the point x=1

First differentiate the equation, giving you, y'=(1/x)+10x. To get the gradient at this point of the curve, plug in x=1, to get a y' value of 11, and a y value of 5. From there you can plug these three nu...

HM
Answered by Harrison M. Maths tutor
3289 Views

In 2014, Donald's weekly pay was $640. In 2015, Donald's weekly pay was $668,80. Work out the percentage increase in Donald's pay between 2014 and 2015.

To work out the percentage increase, you need to find out the change in his weekly wage between the two years, and divide it by his original pay. You can use the formula (new-old)/old.
His new wage ...

AS
Answered by Aadil S. Maths tutor
5942 Views

Find the stationary points of y = (x-7)(x-3)^2.

This problem requires the use of the product rule.Let u= x-7 ; by differentiation du/dx = 1. Let v = (x-3)^2 ; by differentiation using the chain rule, dv/dx = 2(x-3)
Product Rule: dy/dx = u*...

SF
Answered by Sam F. Maths tutor
3554 Views

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