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Maths
GCSE

Given a circle with the equation y^2 + x^2 = 10, with a tangent that intersects at point P, where x=1, find the coordinates for the point at which the tangent meets the x axis (Q).

As the tangent meets the circle at P, when x =1, we can assume that the y value will be the same for this value of x. therefore we substitute x=1 into the equation of the cirlce. Rearranging the equation ...

JP
Answered by Joseph P. Maths tutor
4702 Views

f(x) = 5x − 12. (i) Calculate f(4). (ii) Find f( x + 1). Give your answer in the form ax + b .

i) (5 x 4) -12 = 8 ii)  5(x + 1) - 12 5x + 5 -12 5x - 7

SM
Answered by Santiago M. Maths tutor
4589 Views

Christine has more money than David. If Christine gave David £30, then they would have the same amount. If David gave Christine £33, then Christine would have twice as much money as David. How much money does each person have?

We need to start by translating the sentences into algebraic equations. There are 2 unknowns, Christine’s money and David’s money. Let Christine’s money= x Let David’s money = y If Christine gave David £3...

BC
Answered by Ben C. Maths tutor
2993 Views

Solve the equation "3y + 5 = 11" to find the value of y.

Remember that both sides of the equation need to 'balance', so any changes that we make to the right hand side must also be made to the left hand side. 

Let's start by getting rid of the '5' on the...

RP
Answered by Roshni P. Maths tutor
5662 Views

How to solve the following simultaneous equations? Equation 1: 3x+y=10 Equation 2: 2x-y=5

There are 2 easiest and quickest ways to approach this question:

1). By elimination:

When using the elimination method, you want to make sure that you choose the correct varia...

AC
Answered by Angel C. Maths tutor
8366 Views

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