I was tutoring my brother for calculus 2 the other day on the trapezoidal rule for area approximation, the following function:√(x2+1) when I noticed he was making a consistent horrible mistake...
He kept pulling out the +1 out of the square root to try to simplify this. So he claimed, √(1 +1)= √1+√1= 1+1 = 2.
An obvious problem with this is the claim...
When in doubt you can always use the Quadratic Formula: X = (-b ±√(b2-4ac))/2a
to solve or find the roots of any Quadratic Equation.
A quadratic equation is an equation that looks like: 0 = aX2+bX+c.
In your case with 4X2+6X-2 = -7 we just have to add seven...
Levels 3 and 4 this time:
ADDITION OF FRACTIONS
ALGEBRAIC EXPRESSION EXPANSION
ALGEBRAIC STEP FUNCTION
ALTERNATE INTERIOR ANGLE
AREA OF IRREGULAR SHAPES
AXIS OF SYMMETRY
When I was studying to be a teacher, one of the classes I had to take was Literacy in Secondary Education. Since the word
literacy is associated to reading and writing by most, it would strike many as a surprise that Math teachers have to take courses on literacy. However, literacy is the most practical and crucial aspect of ANY academic discipline, simply because it involves the ability...
Key here is to distinguish between the general equation of a line, the
point slope formula, and the slope intercept equation of the line.
Since you are looking to find the slope-intercept equation of a line, I will cover that first.
The slope intercept form is:
y = mx +...
The first thing is to do is find the Least Common Denominator (LCD) of the three fractions.
We find the LCD by finding the Least Common Multiple(LCM) of the Denominators, 3, 4, and 24. The LCM is the smallest multiple other than 0 that a set of numbers share in common.
The main concept to drive home here is the order of operations, or what most people might recall as the accronym: PEMDAS... Which stands for
Parenteses, Exponents, Multiplication,
Division, Addition, Subtraction. PEMDAS pretty much tells us the order of priority in which we do the operations...
This statement is true for all real numbers and is known as the Commutative Property. It not only applies to multiplication, but to addition as well: a + b = b + a
The other case you mentioned a(b*c) = ab*ac is false.
There are certain other properties that are central...