ACT prep

Distance formula

sqrt((x2-x1)²+(y2-y1)²)

Midpoint formula

(x1+x2/2) or replace w/ y

Quadratic formula

x=-b+-sqrt(b²-4ac)/2a

circle equation

(x-h)²+(y-k)²=r²

Density

Mass/Volume

law of sines

law of cosines

𝑎²=b²+c²−2𝑏𝑐cos(A)

how do you simplify Nsqrt(a^m)

a^m/n (you can do the inverse as well)

Isoceles vs scalene triangle

2 = sides and opposite angles are = vs 3 unequal sides+angles

acute vs obtuse traingle

3 angles are less than 90 vs 1 angle greater than 90

Period (for sin/cos functions)

2pi/B

sin vs cos functions

sin starts at y=0 and cos starts at top or y=1

Pythagorean identity

sin²(theta)+cos²(theta)=1

30-60-90 triangle

1:sqrt(3):2

45-45-90 triangle

1:1:sqrt(2)

Prime #s

Numbers >1 with only two factors (ex:2,3,11,13)

nth term formula

an=a1+(n−1)d

• an = the nth term of the sequence

• a1 = the first term of the sequence

• d = the common difference between consecutive terms

• n = the position of the term in the sequence GeeksForGeeks+1

circumference

2piR

discriminent

b²-4ac:gives # of real roots, >0 means 2 real roots, <0 means two unreal, =0 means 1.

tan= (unit circle)

sin/cos

in a quadrilateral the sum of angles is —-

360

residual

actual-predicted