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Factorise and solve x^2-9x-10=0

x 2 -9x-10=0 Find two numbers that add to equal -9 and mulitiply to equal -10 These numbers are -10 and 1 so this equation factorises to equal (x-10)(x+1)=0 Now find the values of x that would make the left ...
LL
Answered by Laura L. • Maths tutor
10815 Views

Explain why relations between the USA and the USSR worsened in the years 1947-49? (12 marks)

It is very important when approaching a question like this, to not only consider the number of marks, but likewise the dates given. This question is worth 12 marks, so requires you to focus on around three t...
JH
Answered by Jana H. • History tutor
26368 Views

A straight line passes through the points (-2, 4) and (1, 10). What is (a) the gradient of the line, (b) the y-intercept of the line and (c) the equation of the line?

(a) Gradient (m) = (y 2 -y 1 )/(x 2 -x 1 ) = (10-4)/(1-(-2)) = 6/3 = 2 (b) General equation of a straight line: y = mx + c (c = y-intercept) For our straight line: y = 2x + c Test points: 4 = 2(-2) + c ---&g...
SB
Answered by Samuel B. • Maths tutor
14653 Views

Factorise the equation x^2 +5x = 6

On first glance, this looks like it is going to be a quadratic equation, so let’s try and put it in the form ax 2 + bx + c = 0 which we can factorize. If we subtract 6 from each side, we end up with x 2 +5x ...
MJ
Answered by Matthew J. • Maths tutor
9435 Views

Express cos5x in terms of increasing powers of cosx

De Moivre's theorem: (cos5x + isin5x) = (cosx + isinx) 5 To get cos5x we will need to expand (cosx + isinx) 5 and then take the real parts. Binomial expansion: (cosx + isinx) 5 = (5C0)(cosx) 5 + (5C1)(cosx) ...
CS
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