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How do I find the highest common factor of two numbers?

The factors of a number are all the numbers that divide into it, so the HCF of two numbers is the highest number that is a factor of both numbers. I'd work it out by create a list of all of the prime factors...
OB
Answered by Olivia B. • Maths tutor
7947 Views

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
10917 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
14725 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
9534 Views

Integrate cos(2x)

The intergral for cosx is sinx, but '2x' must be considered. When differentiating a sinx/cosx function, the '2x' would be differentiated separately and placed in the front (multipling). So when intergating y...
GO
Answered by Gold O. • Maths tutor
18916 Views