"The Lecture of Mathematics"

Property for logarithm This is related with property for log, so we can remember all the past. We know that’s log b the power of x equal to y if and only if b the power of y equal to x. For example or notification the log ten the powerof x equal to log x and log e the power of x equal to ln x or called natural logarithm. For example log ten the power of one hundred equal to x then we convert this is to be ten the power of x equal to one hundred (this is take with role or the mean that’s log b the power of x equal to y if and only if b the power of y equal to x) so we get ten the power two equal to one hundred, so the solution for this example is x equal to two. And still many example about this.. Common factor and grouping The objective for that is such as find the greatest common factor (GCF) of number, find GCF of terms, factor out the GCF, factor a four term expression by grouping. For getting started we must know the product and factors. For example five teen get from three multiply five. Five teen is the product and three multiply five is the factor. Factoring completely means to have all factors as prime numbers there is twenty equal to two multiply two multiply five. Finding the greatest common factor of number, step one the GCF of a list integers is the largest common factor of integers in the list such as fourty five equal to three multiply three multiply five equal to three the power of two multiply five. And the second steps to find the GCF choose prime factor with the smallest exponent and find their product such as three multiply five equal to five teen. Trigonometry Function Trigonometry function ratios of different side of triangle and respect to an angle. Trig function only need to know value of the side to find measure of an angle, figure out values of all part of triangle. The six basic of trigonometry function there is sine, cosine, tangent cosecant, secant, and cotangent. To easy learn, we can divide part of right angle triangle that’s OPP is side opposite theta, ADJ is side adjacent theta and HYP is hypotenuse. Ways to measure the angle : Sine can get from OPP divide by HYP Cosine can get from ADJ divide by HYP Tangent can get from OPP divide by ADJ Cosecant can get from HYP divide by OPP Secant can get from HYP divide by ADJ Cotangent can get from ADJ divide by OPP Factoring Polynominal Factoring polynominal can get from algebraic long division. Example : x cube minutes seven x minutes six, there root for 3rd degree equation quadratics (2nd degree) equation always have at most two roots and a 4th degree equation would have 4 or fewer roots, the degree of a polynominal equation always limits the numbers of roots. Long division for a 3rd order polynominal 1.Find a partial quotient of x cube, by dividing x into x cube to get x square 2.Multiply x square by the divisor and substract the product from dividend 3.Repeat the process until you either or reach a remainder polynominal have even ar odd degrees Function Function is an algebraic statement that provides a link between two or more variables and used to find the value of one variable if to know the values of the other. Function is relation in which each of one set is paired with one and only one, element of the second set. There are two kinds of relation that’s equation an inequalities, equation is one added three equal four and in equalities is eight more than three, specifics number being related to each other. Note for the function if the function not an standard form we must replace it to be standard form. For example : F(x) equal to two x added one G(x) equal to x square substract three x added two H(x) equal to two the power of x To remembergiven an equation for a function, we can calculate the function as soon as we know a value for x, if we substitute x square five to G(x) so the result is twelve. Parallelogram Parallelogram if a quadrilateral is a parallelogram then opposite side are parallel. We can created a parallelogram to easily with have a concept : if ABCD is a parallelogram then we must prove that side of AB parallel with side of DC, and sid e of AD parallel with side of BC. If the prove true so this shape of ABCD is a parallelogram.