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

Lets take 18 and 48 as our two numbers for an example. Break both down into products of their prime factors using factor trees: 18=3x3x3x2 and 48=3x2x2x2x2. Write the prime factors as a Venn diagram. The num...
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If y=4x^3+3/x^2-3, what is dy/dx?

We know the rule for differentiation is, multiply by the power reduce the power by one. Although having several parts this looks confusing we just need to break it down. 4x^3 differentiates to 12x^2 followin...
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Looking at the diagram, work out the angle of a) x, b) y, and c) z

a) the triangle is isosceles so the two missing angles must be identical. all angles in a triangle add up to 180. therefore, 180-40=140 140/2 = 70* = xb) this triangle has two angles given already, so the sa...
EG
Answered by Emma G. • Maths tutor
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y = 2/x^3 find and expression for dy/dx

y = 2 x -3 simpler to differentiate in this form dy/dx = (-3)(2 x -4 ) multiply by power out the front and subtract one from the powerdy/dx = -6/x 4 simplified version of above equation
RB
Answered by Rufus B. • Maths tutor
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Find the co-ordinates of the turning point of the line with equation y = x^2 + ax + b that passes through (1, 47) and (2, 60)

y = x 2 + ax + bWhen x=1:47 = (1) 2 + a(1) + b47 = 1 + a + b46 = a + bWhen x = 260 = (2) 2 + a(2) + b60 = 4 + 2a + b56 = 2a + b Let this be equation 1Let 46 = a + b be equation 2Subtract equation 2 from equa...
HM
Answered by Henry M. • Maths tutor
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