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Maths
GCSE

Solve: a) 5t + 17 = 2. b) x^3 - 25 = 103 - x^3.

a) 5t + 17 = 2. We want to work out what t is. t = ?.To do this we need to get t on it's own, so first we move all the other numbers to equal t.We do this by subtr...

JA
Answered by James A. Maths tutor
2762 Views

Factorise the Quadratic: 3x^2 + 2x - 1.

When we are asked to factorise a quadratic we essentially need to tidy it up by putting it into brackets.For a quadratic we look to work out the sum and the product, however this time it's a bit different...

JA
Answered by James A. Maths tutor
4263 Views

Where do the lines 2y = 4x + 2 and - 3x + y = 4 intersect?

Rearrange the second equation in the form y = mx + c to get y = 3x + 4. Divide the first equation by 2 to get y = 2x + 1. When the lines intersect, they'll have the same x and y values, hence, set the equ...

EJ
Answered by Emma J. Maths tutor
2574 Views

There is a spinner game at a fair. The spinner is numbered with all even numbers from 2 to 12. Each section is equal in size. Dan has numbers 4 and 10. What is the probability that he wins a prize? Give your answer as a fraction in its simplest form.

The even numbers from 2 to 12: 2, 4, 6, 8, 10, 12That means there are 6 numbers on the spinner If Dan has 4 and 10 and all the portions are the same, the chances of landing on 4 or 10 is 2/6Simplifying th...

KB
Answered by Katherine B. Maths tutor
2762 Views

If I know the length of the hypotenuse and one angle, how do i find the length of the side opposite to the angle?

In this problem, we are concerned with the hypotenuse and the opposite sides of the right angle triangles. From SOHCAHTOA we can see that the opposite (O) and hypotenuse (H) are associated with the sine f...

JC
Answered by Jake C. Maths tutor
2727 Views

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