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Prove that the sum of two consecutive integers is always odd

And integer is a whole numberLet the integer = 2X meaning it is even and the next number is (2X+1) making it oddTherefore the sum of the two consecutive integers is2X + 2X + 1=4X+1As this cannot be factor...

Answered by Scott S. • Maths tutor

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Factorise 3x^3y^2-6x^2y+9xy

look for a common factor. See that 3 divides 3, -6 and 9. Then see that x and y divide the equation also. so write 3xy(x²y-2x+3) and this is your answer.

Answered by Amber S. • Maths tutor

3301 Views

How is the theme of guilt explored throughout Ian McEwan's 'Atonement'?

Guilt is a very prevalent theme running throughout Atonement, primarily centered around the central protagonist to the novel, Bryony. Towards the end of the novel the reader learns that Bryony is the auth...

Answered by • English Literature tutor

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The point P has coordinates (3, 4) The point Q has coordinates (a, b) A line perpendicular to PQ is given by the equation 3x + 2y = 7 Find an expression for b in terms of a.

Draw a diagramRearrange the given equation into the form y = mx + cy = -3/2x+7/2Gradients of perpendicular lines - m1*m2=-1, so gradient of PQ = 2/3PQ : y=mx+c -> 4=(2/3)*3+cc=2, therefore PQ: y=2/3x+2...

Answered by Jack W. • Maths tutor

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Describe the three types of plate boundary

The three main types are; constructive (divergent), destructive (convergent) and conservative. The most straightforward one is conservative, which is where two plate boundaries slide against each other in...

Answered by Lauren P. • Geography tutor

3287 Views