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Find the two points of intersection of the graphs 2x+y=7 and x^2-8x+7=y. Solve using only algebraic methods (no graphical).

We treat this problem as two simultaneous equations, using our knowledge that when two graphs intersect, they simultaneously have the same solution. The second equation (quadratic equation) is already in the...
AS
Answered by Amy S. • Maths tutor
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What is the best way to approach studying a novel?

With any novel I would firstly advise that you have an extensive knowledge of the plot. For each chapter, as you read it, it may help to write yourself a short summary of what happened, which characters are ...
RM
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What are the stages of mitosis?

I remember this by: I P eed on the MAT, C (read:see) Interphase- 90% of a cell's life is in this metabolic phase Prophase- chromatin condenses, nucleolus disappears Metaphase- chromosomes align at the equato...
MB
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Solve 4(3x - 2) = 2x - 5. (3 marks)

To solve this linear equation, our ultimate goal is to end up with our unknown "x" value on one side and our number on the other side of this equation. To get to this stage, there are three steps.F...
HE
Answered by Hugh E. • Maths 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

Perpendicular gradients multiply to give -1. The gradient of the perpendicular line (y=-3/2x+7/2) is -3/2 , so the gradient of PQ is 2/3. Using gradient formula change in y/ change in x :(4-b)/(3-a) = 2/3 Si...
LD
Answered by Lizzie D. • Maths tutor
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