Top answers

Maths
GCSE

Express x*2 + 10x - 3 in the form (x+p)*2 + q

Step 1 - half the "x" coefficient = +5 Therefore p = +5 and place in brackets (x+5)2Step 2 - square the value of p and subtract 5*2 = 25 (x+5)2 - 25Step 3 - add the numbe...

CS
Answered by Chloe S. • Maths tutor
4443 Views

£X was invested for 5 years, earning compound interest of 2% per year. After 5 years the total value of the investment was £11,040.81. How do I calculate the value of the invested amount £X?

We know that to calculate the final value V of an investment of £X after t years, earning an interest rate of r

VP
Answered by Vishal P. • Maths tutor
3495 Views

Simplify fully (y+3)^2

Firstly expand the brackets to make (y+3)(y+3)Next I find it easy to remember that you don't times anything together that's in the same bracket when expanding. So - y x y = y^2y x 3 = 3y3 x y = 3y3 x 3 = ...

LC
Answered by Laura C. • Maths tutor
5097 Views

Solve the simultaneous equations 3x+2y=13 and 4x+y=14

Multiply the second equation by 2 so that the coefficients of y are equal.(4x+y=14) x2 = (8x+2y=28)Now subtract the first equation from 8x+2y=28.(8x+2y=28) - (3x+2y=13)and you get 5x=15.Divide both sides ...

NB
Answered by Natalie B. • Maths tutor
6297 Views

A ladder (length 314 cm) is leaning up against a wall. The length between the ladder and the wall is 1.54 m. At what angle is the ladder leaning up against the wall? Round your answer to 2 d.p.

In situations like this I would always find it best to draw a diagram with all the information we know labelled on it. Firstly, however, notice that our measurements are in different units. You can conver...

GW
Answered by Gemma W. • Maths tutor
3163 Views

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