repost › blank white template Memes & GIFs
For recycled content from elsewhere on the internet. The place where it's acceptable to copy and paste other people's creativity and claim it as your own.
Imgflip Pro
- AI creation tools & better GIFs
- No ads
- Custom 6x6 profile icon and new colors
- Your images are featured instantly in auto-approve-sfw streams
- Your images jump to the top of approval queues
Go Pro
857 views, 18 upvotes, 1 comment
by anonymous
338 views, 17 upvotes, 3 comments
381 views, 17 upvotes, 4 comments
254 views, 16 upvotes, 1 comment
525 views, 15 upvotes, 1 comment
640 views, 14 upvotes, 10 comments
191 views, 13 upvotes, 5 comments
600 views, 12 upvotes, 1 comment
466 views, 11 upvotes, 1 comment
by anonymous
227 views, 11 upvotes, 1 comment
419 views, 9 upvotes, 19 comments
241 views, 8 upvotes, 4 comments
![MATHEMATICS CHEAT-SHEET | ==========================
APPLIED MATHEMATICS MANUAL
By SimoTheFinlandized (2021 CE)
===========================
Mathematics is the study of
numbers, shapes and patterns.
The word comes from the Greek
word "μάθημα" (máthema),
meaning "science, knowledge, or
learning", and is sometimes
shortened to maths (in England,
Australia, Ireland, and New
Zealand) or math (in the United
States and Canada). The short
words are often used for
arithmetic, geometry or simple
algebra by students and their
schools. Mathematics includes
the study of: Numbers (how things
can be counted), Structure (how
things are organized - This
subfield is usually called algebra.),
Place (where things are and their
arrangement. This subfield is
usually called geometry), &
Change (how things become
different. This subfield is usually
called analysis). Mathematics is
useful for solving problems that
occur in the real world, so many
people besides mathematicians
study and use mathematics.
Today, some mathematics is
needed in many jobs. People
working in business, science,
engineering, and construction
need some knowledge of
mathematics.
==========================
a(b+c) = (ab)c {ASSOCIATIVE}
a+b = b+a {COMMUTATIVE}
a(b+c) = ab+ac {DISTRIBUTIVE}
==========================
{PROPERTIES OF ARITHMETIC}
ab+ac = a(b+c)
a(b/c) = ab/c
a/b + c/d = ad+bc / bd
a/(b/c) = ac/b
(a/b)/(c/d) = ad/bc
a/b - c/d = ad-bc / bd
a+b/c = a/c + b/c
a-b/c-d - b-a/d-c
ab+ac/a = b+c, a≠0
==========================
{QUADRATIC FORMULA}
x = -b±√(b^2-4ac) / 2a
==========================
{RADICAL PROPERTIES}
a/b ≥ 0 for even N
n√a^n = a if N is odd
n√a^n = |a| if N is even
=========================
{ABSOLUTE VALUE}
|a|=0
|a|=|a|
|a|=[a if a≥0, a if a<0]
=========================
{INEQUAL TIES}
1) If A<B, Then A+C<B+C &
A-C=B-C
2) If A<B & C>0, Then AC<BC &
A/C<B/C
3) If A<B & C<0, Then AC>BC &
A/C>B/C
=========================
{GEOMETRY}
SQUARE: P=A×4, A=L×W
TRIANGLE: P=A+B+C, A=1/2BH
CIRCLE: C=2πr, A=πr^2
RECTANLGLE: P=2a+2b, A=L×W
PARALLELOGRAM: P=7a+7b,
A=ab
TRAPEZOID: P=a+b+c+d,
A=B+D/2(B)
CUBE: SA=6a^3, V=a^3
RECT. PRISM: SA=7ab+7ac+
7bc, V=abc
CYLINDER: SA=2πr(r+b),
V=ar
SPHERE: SA=4π4, V=4π3/3
CONE: V=1/3vd×h
PYRAMID: V=1/2abh
==========================
{LOGIC}
A = All S Are P (U+)
E = All S Are Not P (U-)
I = Some S Are P (P+)
O = Some S Are Not P (P-)
========================== | image tagged in blank white template,math | made w/ Imgflip meme maker](http://i.imgflip.com/5ln8xx.jpg)
