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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 of ...
JP
Answered by Joseph P. • Maths tutor
5852 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
5395 Views

Differentiate y= 8x^2 +4x +5

dy/dx= (2 * 8)x (2-1) +4 = 16x + 4
JJ
Answered by Juevaneeta J. • Maths tutor
4473 Views

Express (3 + 13x - 6x^2)/(2x-3) in the form Ax + B + C/(2x - 3)

The answer is -3x + 2 + 9/(2x-3). That is A = -3, B = 2 and C = 9. I will use the whiteboard during my interview to explain the working.
SM
Answered by Sam M. • Maths tutor
5833 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 £30, ...
BC
Answered by Ben C. • Maths tutor
3626 Views