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(Q20 Non-Calculator paper, Higher Tier) Solve algebraically the simultaneous equations: x^2 + y^2 = 25 and y – 3x = 13

We have a quadratic equation (unknowns are raised to the power of 2) and a liner equation (power 1). We will use the linear equation to express one of the variables, e.g. y , in terms of the other, i.e. x . ...
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Answered by Darena S. • Maths tutor
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A 20-foot ladder is leaning against a vertical wall. The bottom of the ladder is pulled away horizontally from the wall at 3 feet per second. How fast is the top of the ladder sliding down the wall when the bottom of the ladder is 10 feet away?

This question can be divided into two different equations. In order to calculate how fast the ladder is sliding downwards, you need to know at what original vertical height the ladder is leaning on the wall....
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Answered by Maximilian L. • Maths tutor
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Describe the sequence of events in DNA transcription

An enzyme called DNA helicase breaks the hydrogen bonds holding the complimentary base pairs together in a double stranded DNA molecule. This causes the DNA helix to unwind, exposing the unpaired bases. Anot...
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Answered by Ellie M. • Biology tutor
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How do I find the equation of the normal to the curve y=x^2 at the point (x1,y1)? Where x1=2 and y1=4 .

I would get the student to draw a diagram of the situation.. so draw the curve y=x^2, the tangent at (2,4) and then the normal. Then I would highlight to them that the equation we want is the equation of a s...
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Answered by Mohammad M. • Maths tutor
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Calculate the area of a circle where the circumference of the circle and sides of the square are tangential at 4 points.

Note this is:AQA GCSE Mathematics (8300) June 2017Paper 1: Non-Calculator 8300/1H - HigherQuestion 12 The area of a square is its base multiplied by its height. In our case this gives an area containing mult...
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Answered by Lewis S. • Maths tutor
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