Accel Math Midterm 9th

Standard form of circle

(x-h)²+(y-k)²=r²

General form of circle

x²+y²+Dx+Ey+F=0

area of circle

a=\pi r^2

Circumference of circle

C=2\pi r

Perimeter of circle

p=2\pi r

Volume of pyramid

V=1/3 Bh

Volume of cylinder

V=\pi r^2h

Volume of rectangular prism

V=lwh

Volume of cone

V=\frac13\pi r^2h

Volume of trapezoidal Prism

V=\frac12\left(b1+b2\right)\cdot h\cdot l

Volume of triangular pyramid

V=\frac13\cdot\frac12bh\cdot H

Volume of triangular prism

V=\frac12bh\cdot H

Volume of regular prism (Hexagonal Prism)

V=\frac{3\sqrt3}{2}s^2h

Quadratic Formula

x=\frac{-b+-\sqrt{b^2-4ac}}{2a}

Volume of spheres

V=\frac43\pi r^3

Distance formula

D=\sqrt{\left(x2-x1\right)^2+\left(y2-y1\right)^2}

Permutation

nPr=\frac{n!}{\left(n-r\right)!} ORDER MATTERS

Combinations

nCr=\frac{n!}{r!\left(n-r\right)!} ORDER DOESNT MATTER

Z score

Z=\frac{x\imaginaryI-\mu}{\sigma}