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✩Slope-intercept
y=mx+b
✩✩slope formula
m=(y2-y1)/(x2-x1)
✩Pythagorean theorem
a²+b²=c²
Circle
(x-h)²+(y-k)²=r²
(h,k): center of circle
r: radius
Area of a circle
A= πr²
Circumference of a circle
C= 2πr
Distance
d=√(x2-x1)²-(y2-y1)²
✩Midpoint
midpoint= (x1+x2/2 , y1+y2/2)
(Think how to find an average.ᐟ)
✩Slope
Rise/ run
Area of a triangle
A= 0.5bh
Area of trapezoid
[(b1+b2)*h]/2
✩SOH CAH TOA
sine: opposite/ hypotenuse
cosine: adjacent/ hypotenuse
tangent: opposite/ adjacent
quadratic formula
(-b±√b²-4ac)/2a
Difference of squares
a²-b²= (a-b)(a+b)
Logarithms
logb (x)=y means bʸ= x
b= base
Diagonal of a square
(side)√2
How to remember: square is a 2D object, thus √2(ᐡ`ᐧ ﻌ ᐧ´ᐡ)
Diagonal of cube
(Side)√3
How to remember: cube is a 3D object, thus √3 U*`∀´*U
Area of rhombus
A= (p*q)/2
p and q= diagonals of rhombus
✩Percentage increase/ decrease formula
(difference/ original)*100
✩Compound interest formula
A=P(1+ʳ⁄ₙ)^nt
A=amount
P=original amount
r=interest rate
n=number of times interest is compounded per year
(n)t= time (usually years)
prime numbers
1 is NOT a prime number!!!!!
2 is the only even prime number, also the smallest prime number