# Rafael's Blog

### Math 11

This week in math we learned about sine law, which is used to find the angles and sides of triangles that don’t contain a ninety degree angle. In order to verify the use of sine law you require 3 important pieces… Continue Reading →

This week in math we learned how to multiply and divide rational expressions. These fractions are generally pretty “ugly,” so writing them out fully makes it somewhat more clear to read and manage. There are 3 general steps to doing… Continue Reading →

This week in math we learned about equivalent rational expressions. Rational numbers are quotients of two integers. So, two polynomials are known as rational expressions. As well we learned to simplify a rational expression the first thing you must do is… Continue Reading →

This week in math we learned how to solve linear absolute value equations algebraically. This can be done by first splitting the desired equation into two. One being the original equation (without absolute value brackets), and the second being similar… Continue Reading →

This week in math I learned/understood how to substitute. Last year we learned the concept but I never really understood how to do it. With substitution we must isolate one variable, probably the easiest one to isolate. From there we… Continue Reading →

This week in math we learned how to solve inequalities, specifically, quadratic inequalities. To solve for these inequalities we require the “zeros” of the quadratic, this means that we must factor the quadratic. With the “zeros” or roots we can… Continue Reading →

This week in math was a review week; specifically, a review and preparation for the upcoming midterm. I was fairly confident in unit 1, but I still had to look over a few of the ideas from the chapter, such… Continue Reading →

This week in math we learned about how to find the vertex of a quadratic equation that is in factored form. Firstly, you need to find the x-intercepts of the equation. Once that has been found you need to find… Continue Reading →

This week in math we learned about the three different forms to a quadratic equation, all of which are equivalent. The three forms are called, Standard (Vertex) Form, General Form, and Factored Form. Why are there three different forms? Each… Continue Reading →

This week in math we learned about the discriminant. This is part of the quadratic formula, specifically this part,  the letters a, b, and c, represent the coefficients in order of a trinomial from left to right. The reason why… Continue Reading →