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A rectangle is made up of the equations; For the longer spans: 5x-12y+16 and 5y-4x+20; for the shorter spans: 2x-4y+4 and 3x-2y-12

Initially solve for the longer spans through simultaneous equations;5x-12y+16=5y-4x+20Simplify equation;9x-17y-4=0Repeat for the shorter spans;2x-4y+4=3x-2y-12Simplify equation;x+2y-16=0Make x the subject...

Answered by Benedict M. • Maths tutor

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Prove that √2 is irrational

Begin by assuming that √2 is rational, and can therefore be written as √2 = p\q where p and q are coprime integers.By squaring both sides, you get the result 2 = p²\q², which rearran...

Answered by Anika S. • Maths tutor

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Differentiate y = e^(2x)cos(3x)

Using both the Chain Rule and the Product Rule for derivatives, we find the answer to be: dy/dx = e^(2x)[2cos(3x) - 3sin(3x)]

Answered by Jesse C. • Maths tutor

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Square root of 81?

9X9 = 81

Answered by Laura H. • Maths tutor

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Work out 1 1/5 ÷ 3/4. Give your answer as a mixed number in its simplest form.

Because we have been given a mixed number, we can start by turning it into an improper fractions. An improper fraction is where the numerator is bigger than the denominator. To turn 1 and 1/5 into an impr...

Answered by Georgia H. • Maths tutor

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