Math Equations Flashcards
Arithmetic mean
= (sum of values)/(number of terms)
Probability
= (sum of values)/(number of terms)
Average speed
(total distance)/(total time)
Quadratic formula
x=(-b±√(b^2-4ac))/2a
Distance formula
d=√(x_2-x_1)^2+(y_2-y_1)^2 )
Slope formula
slope= (y_2-y_1)/(x_2-x_1 )
Slope intercept
y=mx+b
Midpoint formula
midpoint=(x_1+x_2)/2, (y_(1+) y_2)/2
Logarithms
〖log〗_b x=y = b^y=x
Area of triangle
A=1/2 bh
Pythagorean theorem
a^2+b^2=c^2
Area of rectangle
A=length x width
Area of parallelogram
A=base x height
Area of Circle
A=π r^2
Circumference
Circumference=2 π r
Volume of cylinder
V_cylinder= π r^2 h
Equation of a Circle
(x-h)^2+ (y-k)^2=r^2 where h,k is the center
Equation of a Parabola
y = a(x-h)^2 + k where h,k is the vertex
Equation of a Hyperbola
(x-h)^2/a^2 - (y-k)^2/b^2 =1 where h,k is the center
Sine
sine=opposite/hypotenuse
Cosine
Cosine=adjacent/hypotenuse
Tangent
Tangent=opposite/adjacent
Law of Cosines
c^2 = a^2 + b^2 - 2ab cosC
