# equations

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• Created by: 10carterj
• Created on: 08-06-14 16:44
• equations
• factorising
• putting back into brackets
• example
• (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
• 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