Formulas Flashcards
Pythagorean Theorem
a^2 + b^2 = c^2
c = hypothenuse
Quadratic Equation
ax^2 + bx + c = 0
Discriminant
b^2 - 4ac
Equation of a circle
(x - h)^2 + (y - k)^2 = r^2
(h,k) = center
r = radius
slope intercept form
y = mx + b
m = slope
b = y intercept
m in y = mx + b
m = change in y/change in x = rise/run = (y2 - y1) / (x2 - x1)
circumference of circle
2(pi)(r)
area of circle
pi(r)^2
% change
(difference/initial) • 100
Quadratic Formula
-b +/- sq. root of (b^2 - 4ac) / 2a
distance
speed/time
range
max value - min value
exponential eq. (line)
y=a(b)^x (b = number repeatedly multiplied/common factor/common ratio) (a = initial value/y-intercept)
negative • negative
positive
positive • negative
negative
• or / inequality by ____ number will have to swap?
negative number
x
independent variable (changes)
y
dependent variable
FANBOYS
for,and,nor,but,or,yet,so
two lines, different slope
intersect once, exactly one sol.
same slope, diff y intercepts
never intersect, no sol
same slope, same y intercept
infinitely many sol
time
distance/speed
relationship between t (time) & n (total amount)
t = p (1+ i/100)^t (i% = interest) (principle = p)
perpendicular line slope
negative reciprocal of slope
measure of angle in degrees
measure in radians • 180 deg./pi. radians
square of sum
a^2+2ab+b^2 = (a+b)^2
square of difference
a^2-2ab+b^2= (a-b)^2
difference of squares
a^2-b^2=(a+b)(a-b)
sq. rt. of x
x^1/2
FOIL
First, Outside, Inside, Last
