This week in math 10 we learned how to write and equation of a line in general form form. Bellow are some examples and descriptions of how to do general form.
So you have this equation and basically all you need to do is get a zero on one side of the equation by itself.
So subtract the y and you get 0 = 2x – y + 9
2. y – 4 = 7(x – 1)
y – 4 = 7x – 7 so you have to distribute first, now get zero on opposite of the equation
y = 7x + 4 – 7
0 = 7x -y – 3
This week in math 10 we started a new unit and one section we learned about was the distance formula. I will be showing you how to find the distance between each pair of points.
Now you must square -5 and – 12 and that will become 25 and 144. now add 25 and 144 together and you get 169. The last step is to square root 169 which is 13. So now you know the distance between (2,0) and (7,12) which is 13.
This week in math 10 we continued to learn more about functions and relations. The newest thing we learned was function notation and problem solving. I will be showing an example below.
1a) H(t) = 5/3t + 2
H(3)
5/3 * 3/1 = 15/3 + 2
15/3 + 6/3 – It became 6 over 3 because the +2 needed to have the same denominator as 15 over 3
15/3 + 6/3 = 21/3 – so 3 goes into 21 seven time so the answer is 7
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(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.
X-intercept(s)
0 = 2x – 8
8/2 = 2x/2
X = 4
2. 3y + 2x – 12 = 0
2x – 12 = 0
2x/2 = 12/2
X = 6
Y-intercept(s)
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.
example:
(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
