This week in math 10 we learned about domain and range. The domain of a relation is the set of all possible values which can be used for the independent variable (x).The range of a relation is the set of all possible values of the dependent variable (y).
This week in math 10 we learned about Function notation. Function notation is used to replace the mapping notation.
Examples of function notation:
- g(x) = 6 – x^2
g(4) = 6 – 16
g(4) = -10
2. g(x) = 6 – x^2
g(-6) = 6 – 36
g(-6) = -30
This week in math 10 we learning how to factor ugly trinomials.
I will be showing 6 different examples.
This week in math 10 we learned about X and Y intercepts
When determining the X intercept(s) you must turn the Y into a zero and when determining the Y intercept(s) you must turn the X into a zero. Here are 2 examples of both.
- y = 2x – 8
0 = 2x – 8
8/2 = 2x/2
X = 4
2. 3y + 2x – 12 = 0
2x – 12 = 0
2x/2 = 12/2
X = 6
- 2y + 3x – 12 = 0
2y – 12 = 0
2y/2 = 12/2
Y = 6
2. 2y = x^2 – 60
2y/2 = -60/2
Y = -30
This week for math 10 we learned how to factor trinomials. So I will be teaching you how to do this with 3 examples.
Ex 1. x^2 + 10x + 16
Answer (x + 8)(x + 2)
I got this answer by starting with the constant which is 16. You must know what 2 numbers work 16 and 10x for this example 8 and 2 works because 8 + 2 adds to 10 which is 10x and 8 times 2 is 16.
Ex 2. x^2 – 2x – 15
Answer. (x – 5)(x + 3)
Ex 3. x^2 – 2x -24
Answer. (x – 6)(x + 4)
This week in math 10 we are learning more about polynomials and I will be showing u how to use patterns to find the answer faster than distributing.
(x + 4)(x + 7)
so in this example you have to distribute but in this case there is an easier way.
First you must multiply the x by the other x and you get x^2. second you add 4 plus 7 and you get 11x. So now you have x^2 + 11x. lastly you will multiply 4 times 7 and you will get 28.
Answer: x^2 + 11x + 28
In this week of math 10 I will be showing you how to solve for a triangle. This will include finding the sides of the triangle and the angles.
In the picture show down bellow you are given 2 sides: side A-38 and side B-29. You know have to figure out what other sides and angles you need to solve this triangle. in this case side C, angle A and angle B are left.
In this example bellow I have shown all the information needed in solving a triangle.
It wont let me rotate the picture.