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Starting by factorising the curve equations: the first one factorises to y = (x-3)(x-2) and the second one becomes y=(2-x)(2+x). From this, a rough sketch of the curves can be drawn and it can be seen tha...

Deploy the FOIL method; First Outer Inner Last(1+2x)(4x+3) = 4x+3+8x^2+6x = 8x^2 + 10x + 3

It is important to notice that this is the addition of two mixed fractions which firstly needs to be changed into improper fractions. Take 2 1/7 - first multiply the denominator by the whole number to giv...

First multiply the second equation by 2, so it becomes 2x + 12y = -8. Then subtract the second equation from the first one which gives (2x - 2x) + (-5y - 12y) = (9 - -8), -17y = 17. Therefore y = -1. Plug...

This question can be approached using the Pythagoras Theorem, with the line connecting these 2 points being the hypotenuse (longest side of the triangle). Side lengths:1) 7-3=4 2) 9-2=7Therefore, the dist...