this week in math ten we learnt about systems and how to find the system of two lines. A system is a point where two line cross on a graph. There are three different types of systems 1. There the normal system were we have two lines with different slopes 2. They are also parrelel systems where they have the same slope and there for have no points in common. 3. Coincident systems is the last one this is when we have two lines that are actually one on top of each other. In that case for a system like this there is no limit to how many solutions there are.
We we also learnt an easy way to find the solution to a system called substitution. By using substitution we can find the answer by inputting the coordinates we come up with to find our answer and verify it.
this week in math we learnt about how two lines can be parrelel or perpendicular. Two parrelel lines are two line beside each other that for no matter how lng the go for the will never touch. And two pepedicula lines are two lines that meet somewhere on the graph and creat a 90 degrees angle.
this week in math we learnt how to find the slope of two points on a line. To find the slope of a line we need at least two coordinates, say we have (3,7) and (1,8). With these two peices of info we can easly find the slope.
this week in Mrs. Burtons math 10 class we learnt how to find the points on a line. To do this we need atleast two pieces of information like two coordinates. Say we have (0,5) and (3,8) this is enough information to find the point on the line. All we would need to do is first of all find the slope and secondly choose one set of coordinates and drop them into the equation were using. For this example were going to use (slope y intercept form).
This week in math we learn about the domain and the range of the quadrants. This was one of my least favourite unites because in the past, like all the other unites we learnt about its kinda just been building on what we already learnt from last year. How ever with this unite we started from scratch we had never learnt anything like this before and there for it was kinda confusing. To my understanding all of the domain is everything between the two dots on the X axel, and the range is everything between the two dots on the Y axel.
this week in math we learnt about the different quadrants and how they are different from one and the other. The top right quadrant is for all of the positive degrees, the top left quadrant is for all of the (-,+) degrees, the bottom left quadrant is for all the the negative degrees, and finally the bottom right quadrant is for the (+,-) degrees.
This week we learnt how to factor simple trinomials and how the factor the GCF of trinomials.
Factoring simple trinomials:
To factor simple trinomials you need a trinomial that has the right pattern which I X squared + or – x + or – #. To factor this you must find two numbers that can add to the number in front of the X and can multiply the lone number.
Factoring the GCF:
To factore the GCF you must find the greatest common factor. Which pretty much means you must find the highest number possible that each of these numbers can be divided by.
As you can see in this example I chose 5 as my greatest common factor.
This week in math we learnt how to simplify and expand polynomials.
First if you were looking to simplify a polynomial you would need to eliminate the brackets then group like terms together. After you’ve done so depending on weather or not the sing in front if the number is a positive or negative you will to either add or subtract the number from the like terms.
Secondly if you were looking to expaned a polynomial you would need to distribut through out it. To do this you must take the nuber out I front of the brackets and multiply it by each number inside the brackets.