factoring cubes
(a+b)(a^2-ab+b^2)
soap
cube root of 125
5
factoring cubes b^2
the b^2 in the formula you have to square the variable as well as the number
5 to 25
axis of symmetry formula
-b/2a
finding vertex for graphs
(aos, inputted y)
y=x^2
not exponent, still parabola
simplify complex fractions
remove fractions immediatly or get to lcd as first step
adding and subtracting radicals
can only add/subtract coefficients
30-60-90 triangle
2x hyp
x√3 opp 60
x opp 30
radians
degrees * π/180
degrees
radians * 180/π
cos and sin
x cord and y cord
cos(x)=
asking what cos equals at the degree of x
inverse tan of 1
asking what angle has a tangent of 1
tan=1
means opp=adj
aka equilateral
45 degrees
simplifying exponents
cancel values out before you bring in exponent
midpoint formula
(x1+x2/2, y1+y2/2)
averaging the points
distance formula
√(x2-x1)^2+(y2-y1)^2
√∆x^2+∆y^2
c^2=a^2+b^2
standard form of a circle
(x-h)^2+(y-k)^2=r^2
center=(h,k)
radius=r
perpendicular
negative reciprocals
point slope form
(y-y)=m(x-x)
delta
always indicates final-initial
slope
y2-y1/x2-x1
∆y/∆x
rise/run
finding if points are within circle
use distance formula or better yet use triangle