formulas

quadratic formula

Quadratic formula: x = (-b ± √(b² - 4ac)) / (2a)slope

slope

slope = (y2 - y1) / (x2 - x1)

slope intercept form

y=mx+b (m= slope, b= y-intercept)

midpoint

Midpoint formula: (x₁ + x₂)/2, (y₁ + y₂)/2

distance formula

Distance Formula: d = √((x2 - x1)^2 + (y2 - y1)^2)

probability of 2 signle outcomes both happeniing

prob of a * prob of b

rectangle area

a=lw

rectangle soild volume

lwh

parallelogram area

lh

triangle area

(1/2)bh

45, 45, 90 triangle

follows the rule of x, x, x√2

30, 60, 90 triangle

follows the rule x, x√3, 2x

trapozoid area

break down into 2 triangles and one rectangle

circle area

A = πr²

area of a sector

A = (θ/360)πr^2

area of an arc

Area of an arc: A = (θ/360) * π * r²

circumfrance

2πr

volume of a cylinder

V = πr²h

cosecant is the reciprical of

sine. hyp/opp

secant is the reciprical of

cosine. hype/adj

cotangent is the reciprical of

tan. adj/opp

sine

opp/hyp

cosine

adj/hyp

tangent

opp/adj

sin²θ + cos²θ =

1

sinθ/cosθ =

tanθ

sphere volume

Sphere volume: (4/3)πr³

cone volume

πr²(h/3)

cylinder volume

Cylinder Volume: V = πr²h