equations

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  • equations
    • factorising
      • putting back into brackets
        • example
          • answer
            • (x+2)(x+1)
          • x2+3x+2
    • solving
      • usually finding x=0
        • so find the values in the brackets
          • and make them equal o
            • so..
              • (x+2)(x+1)
              • x=-2 and x=-1
    • quadratic
      • quadratic formula
        • the formula helps to find two values for x that makes it equal 0
          • the formula
            • ax2+bx+c=0
              • so....
                • 4x2-x-6=0
                  • using the equation...
                    • a=-4, b=+1 and c=+6
    • nth term
      • the difference between all the terms is the n value. and the difference between the values and the multiplication table of the n vaue is the end part
    • sine cosine rules
      • the sine rule
      • cosine rules
        • a2=b2+c2-2bc cosA
          • length
    • shapes
      • areas
        • surface
          • sphere
            • sa=4*pi*r
          • cone
            • sa=pi*r*l+pi*r2
          • cylinder
            • sa=2*I*r*h+2*pi*r2
        • 2d
          • trapezium
            • A=b*h
          • parellelogram
            • A=1/2(a+b)*h
          • triangles
            • A=1/2*b*h
          • circles
            • length of arc
              • L=x/360*circumference of full circle
            • area of a sector
              • A=x/360*area of full circle
            • area and circumference
              • area=pi*r2
              • circumference=pi*d
              • or circumference=2*pi*r
      • volumes
        • volume of a prism
          • v=cross section area*L
        • volume of cuboids
          • v=L*w*h
        • volume of a cylinder
          • v=pi*r2*h
        • volume of spheres
          • v=4/3*pi*r3
        • volumes of pyramids and cones
          • volume of cones
            • 1/3*pi*r2*h
          • volume of pyramids
            • v=1/3*base area*vertical height
  • r=radius, d=diameter
  • v=volume, w=width

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