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Solve the simultaneous equations 3x+2y=13 and 4x+y=14

Multiply the second equation by 2 so that the coefficients of y are equal.(4x+y=14) x2 = (8x+2y=28)Now subtract the first equation from 8x+2y=28.(8x+2y=28) - (3x+2y=13)and you get 5x=15.Divide both sides by ...
NB
Answered by Natalie B. • Maths tutor
7215 Views

A ladder (length 314 cm) is leaning up against a wall. The length between the ladder and the wall is 1.54 m. At what angle is the ladder leaning up against the wall? Round your answer to 2 d.p.

In situations like this I would always find it best to draw a diagram with all the information we know labelled on it. Firstly, however, notice that our measurements are in different units. You can convert t...
GW
Answered by Gemma W. • Maths tutor
3846 Views

Binomial expansion of (1+4x)^5 up to x^2

This question can be treated like a normal binomial expansion question which is commonly seen at A level. The standard binomial expansion is (1+x) n = 1 + nx + (n(n-1)(x 2 ))/2! where 2! is 2 factorialSo in ...
KI
Answered by Katherine I. • Maths tutor
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How do I multiply fractions?

This is simpler than you think when you break it down. Just multiply both the numerators (the top number of your fraction) together for the new numerator of the fraction in your answer. Then do the same for ...
RM
Answered by Ria M. • Maths tutor
3920 Views

Find the gradient of the equation y=e^2x.ln(4x^2) when x=5.

>First know that you must differentiate to find the gradient. To differentiate this function you must use the product rule which is:>d/dx(f(x)g(x))=f(x)g'(x)+f'(x)g(x)>Now apply this rule to the for...
AS
Answered by Akshina S. • Maths tutor
4763 Views