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The equation of Line 1 is y= 3x-2, and the equation of Line 2 is 5= 9x- 3y. Are the two lines parallel?

The equation of a line is given by the formula y= mx + c. Here, 'm' is the gradient of the line, and 'c' is the y intercept: where the line crosses the y axis. If two lines are parallel, then they must have ...
EM
Answered by Emily M. • Maths tutor
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I’ve been taught two methods for solving pairs of simultaneous equations. When should I use which?

You’ve been taught elimination and substitution. (You should also be able to solve simultaneous equations graphically.) In the elimination method, you multiply up the equations to make them have a term that ...
RM
Answered by Rosemary M. • Maths tutor
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Simplify Fully 4(2x+1)-2(x-5) .

First concentrate on expanding out the first set of brackets: 4(2x+1).Multiply the contents of the bracket by 4, giving 8x+4.Next concentrate on expanding out the second set of brackets not forgetting the mi...
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Answered by Sanju S. • Maths tutor
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Find the max/min value of the function: f(x) = 5x^2 - 20x + 15

A quadratic function will either have a minimum or a maximum value depending on the shape of the function. A quadratic function with a positive value in front of the x^2 term has a U shape and therefore has ...
PH
Answered by Peter H. • Maths tutor
5844 Views

Expanding Brackets: (x+3)(x+4)

Expanding Brackets: 1) FOIL (first pair, outer pair, inner pair, last pair) 2) (x+3)(x+4)=x^2+4x+3x+12 3) exemplifying why to do FOIL method by subbing in a value for x (e.g. x=3) 4) (3+3)(3+4)=6x7=42 5) usi...
RP
Answered by Ruben P. • Maths tutor
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