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Rationalise the denominator of \frac{6}{\sqrt{2}}.

When rationalising, multiply the fraction by the denominator - so what that means is multiply the fraction by the square rooted number over the square rooted number. The numerators then multiply to give 6 mu...
AR
Answered by Akash R. • Maths tutor
6187 Views

Using the "complete the square" method, solve the following x^2 +4x - 21 =0

x 2 +4x-21= 0, This can be factorised into brackets as shown: (x+2) 2 - 4 - 21 = 0 SImplified, so all x's are on one side of the equation: (x+2) 2 = 25, Removing square root, DONT FORGET "±" : (x+2...
CS
Answered by Charlotte S. • Maths tutor
6751 Views

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
5771 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
5323 Views

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

dy/dx= (2 * 8)x (2-1) +4 = 16x + 4
JJ
Answered by Juevaneeta J. • Maths tutor
4398 Views