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Maths
GCSE

Express x^2 + 10x – 3 in the form (x + p)^2 + q

= We start by halfing the 10 and putting x + 5 in a bracket = (x + 5)^2 = Opening these brackets give us x^2 + 10x + 25 = To make the 25 the same as - 3 we have to minus 28 = Therefore the answer is = (x ...

HP
Answered by Haasan P. Maths tutor
6366 Views

find the gradient of the line y=2x^2-12x+16 at the coordinates (5,6)

dy/dx = 4x - 12
x-coordinate= 5 so sub in
20-12 = 8

Answered by Maths tutor
3252 Views

Find x and y using the equations 3x + y= 10, x + y = 4

First of all there are 3 different methods of working out simultaneous equations: Elimination, Substitution and Graphical. Today I will show the substitution method.
If x + y = 4 then rearranging the...

TO
Answered by Tobi O. Maths tutor
3821 Views

Jay, Shelia & Harry share £7200 in the ratio 1:2:5. How much does Harry receive?

Explain how the ratio shows everyone's share of the £7200: 1:2:5 (Jay's share:Sheila's Share:Harry's Share)Add up the terms of the ratio to find out many equal parts the £7200 is split into: 1+2+5=8 (part...

PB
Answered by Philip B. Maths tutor
3756 Views

A ladder of length 6.5m is leaning against a vertical wall. The foot of the ladder is 1.5m from the wall. Calculate the distance the ladder reaches up the wall to 3 significant figures.

(using Pythagoras' theorem) 6.52 = x2+ 1.52 x2= 6.52- 1.52 x2= 42.25 - 2.25 x2 = 40 x = sqrt(40) x ...

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Answered by Pollyanna B. Maths tutor
5182 Views

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