NC Math 1 Formulas

Midpoint formula

((x₁+x₂/2),(y₁+y₂/2)

Slope

(y₂-y₁)/(x₂-x₁)

Circumference

2πr

Compound interest

A=p(1+r/n)^n-t r-interest rate as decimal n-annually, quarterly, etc t-time in years

IQR

Q3-Q1

Standard form

ax+by=c

Pythagorean Theorem

a²+b²=c²

Area of a parallelogram

bh or lw

Distance formula

d=√(x₂-x₁)²+(y₂-y₁)²

Simple interest

i=p(initial interest)r(interest rate as decimal)t(time in years)

Now-next

next = now ...

Mean

sum of data terms ÷ total number of terms

Axis of symmetry

x= -b/2a

Quadratic formula

x=(-b±√b²-4ac)/2a

Point slope form

y-y₁=m(x-x₁)

Exponential function

y=abˣ

Quadratic function

y=ax²+bx+c

Slope Intercept form

y=mx+b

Volume of a cone

¹/₃πr²h

Area of a trapezoid

½h(b₁-b₂)

Area of a triangle

½lw

Area of a circle

πr²

Volume of a cylinder

πr²h

Volume of a sphere

⁴/₃πr²