## Welcome to H3 Maths

Blog Support for Growing Mathematicians

## Posts tagged with David Joyce

### Is there a difference between Logic and Mathematics?

November13

Yes, there is a difference between Logic and Mathematics. David Joyce, Professor of Mathematics at Clark University makes the distinction like this – “Mathematics studies numbers, geometry, and form.  Those require definitions and axioms to characterize the subjects of study.  Logic is used to prove properties based on those definitions and axioms. Logic can also […]

by posted under Uncategorized | tagged under , , , , , ,  |  Comments Off on Is there a difference between Logic and Mathematics?

#### Post Support

10 x 9 x 8 + (7 + 6) x 5 x 4 x (3 + 2) x 1 = 2020

NCEA Level 2 Algebra Problem. Using the information given, the shaded area = 9, that is:
y(y-8) = 9 –> y.y – 8y – 9 =0
–> (y-9)(y+1) = 0, therefore y = 9 (can’t have a distance of – 1 for the other solution for y)
Using the top and bottom of the rectangle,
x = (y-8)(y+2) = (9-8)(9+2) = 11
but, the left side = (x-4) = 11-4 = 7, but rhs = y+? = 9+?, which is greater than the value of the opp. side??
[I think that the left had side was a mistake and should have read (x+4)?]