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Maths
GCSE

Evaluate 5/(x−1)+2/(x+4)

we need to have a common denominator (bottom number the same) to be able to add or subtract fractionsmultiply first fraction by (x+4) on numerator (top) and denominator (bottom)multiply second fraction by...

Answered by Claire W. Maths tutor
2045 Views

The straight line L1 passes through the points with coordinates (4, 6) and (12, 2) . The straight line L2 passes through the origin and has a gradient of -3. The lines L1 and L2 intersect at point P. Find the coordinates of P.

First, we want to find the gradient of L1 using (4,6) and (12,2)m= (2-6)/ (12-4) = -1/2 then we can find the equation of L1 using y=mx+c rearrange for c as the subject, c= y-mx and substitute the gradient...

Answered by Anaika N. Maths tutor
8667 Views

Tom tosses a coin. Every toss lands on either heads or tails. The coin lands on heads two thirds of the first 24 games. The coin then lands on heads the next 6 games. For all 30 tosses, work out the ratio heads:tails. Give the answer in the simplest form.

For the first 24 games, heads = 24 x (2/3) = 16. For the next 6 games, heads = 6. Total number of heads = 22. 30 - 22 = 8 therefore tales = 8. Therefore, ratio = 22:8 = 11:4, heads:tales.

Answered by Sam P. Maths tutor
1862 Views

What is the photoelectric effect? (A-Level Physics)

The photoelectric effect states that electrons are emitted when electromagnetic radiation is shone upon a material. It also provides evidence for the particle-nature of light, since each photon interacts ...

Answered by Daniel D. Maths tutor
2719 Views

Solve the inequality x^2 – 9x – 22 ≥ 0

We are looking for what values of x make this statement true. To start we need to factorise the quadratic.We can do this in two ways, the quadratic formula, or just seeing what numbers work.We'll start wi...

Answered by Adam O. Maths tutor
3081 Views

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