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24 Cards in this Set
- Front
- Back
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abscissa
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first component in an ordered pair
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ordinate
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second component in an ordered pair
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extraneous solution
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a solution of the derived equation which is not a solution of the original equation
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complete graph
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a graph which suggests all points and all important features of a relation
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x-intercept
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the point at which the graph crosses or touches the x - axis (????)
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y- intercept
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The y- coordinate of a point at which the graph crosses or touches the y- axis
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closed interval
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[a,b] = {x: a ≤x≤b, where a,b,x E R}. "E" means 'is an element of'.
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open interval
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(a,b) = {x: a<x<b, where a,b,x E R}. "E" means 'is an element of'.
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Multiplication Property for Inequalities
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(∀ a,b,c E R)[if (a<b and c>0) then (ac<bc))
and (∀ a,b,c E R)[if (a<b and c<0) then (ac>bc)) |
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Unit Circle
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a circle with radius 1
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median (of a triangle)
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a line joining a vertex of a triangle with the midpoint of the opposite side
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altitude (of a triangle)
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a line through a vertex and perpendicular to the opposite side
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Distance Formula
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Sqr. Rt. of the (difference of the first components)^2 + (difference of the second components)^2
http://math.about.com/library/bldistance.htm |
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Midpoint Formula
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Md. Pt. = (average of first components, average of second components)
http://www.purplemath.com/modules/midpoint.htm |
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Area of Triangle
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A=.5bh where b=base and h=height
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quadratic formula
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x= -b +- (sq. rt. (b^2 -4ac))
------------------------------------- 2a http://www.purplemath.com/modules/quadform.htm |
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formula for slope
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(y2-y1)
-----------=m (x2-x1) http://www.purplemath.com/modules/slope.htm |
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formula for a vertical line
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x=h, where h E R
undefined slope |
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formula for a horizontal line
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y=k, where k E R
slope = 0 |
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point-slope form
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y-y1=m(x-x1)
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slope intercept form
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y=mx+b
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general form for equation of line
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Ax + By=C where A and B don't both = 0
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general form for equation of circle
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x^2 + y^2 +ax +by +c = 0
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standard form for equation of circle
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(x-h)^2 + (y-k)^2 = r^2
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