This week in math 10 we practiced about prime numbers, composite numbers, Polynomials and Trigonometry for our up and coming Midterm Exam
we can use a division table to find the lowest common multiple (LCM) in a math problem. I can also find what prime numbers go into that number using the division table.
we can use a number tree to find out what prime numbers go into a big number, for example 620.
Polynomials:
For question a the question in {x^2 +10x +16} we are going to focus on the last variable, (16) we are going to look at all the numbers that multiply into (16), we have 1*16, 2*8, and 4*4. Then we are going to look at the 10x we are going to look at all the multiples of 16 and see if any equal (10) when added together. 2+8 equals 10, so we all know that, that will be the way we get to 16. now we have to expand these equations out x^2 would look like (x)(x). then we add in our +2 and +8 in no specific order. So the equation no looks like (x +2)(x+8). And that is how we expand our equation. there are many methods to solve this equation if you want to check your answer I prefer the DD rule (double distribution rule) the DD rule is where you take the x and the 2 and multiply them one at a time with the other two variables. (X*X)+(X+8)+(2+X)+(2+8) then we have X^2+8x+2x+16 So our final answer would be x^2+10x+16. Which is the same as our original equation.
In the image we see the Eiffel tower and the shadow it casts onto the person standing at the reference angle. Our job is to figure out the distance the shadow casts along the bottom of the Eiffel tower.
In the image there are two parts to the equation, the first part is figuring out the height of the cliff, the second part is figuring out the distance between the boat and the top of the cliff if the boat was 75m closer. All we get for our information in these questions are the reference angle (16*) and the floor of the triangle (300m, and 225m).
in this equation a totem pole is placed into a 2m hole in the ground and has two guy wires holding it up on either side at an angle of the unknown. We have the opposite and the Hypotenuse, so we will use sign to figure out our missing angle.
I think I am fairly Prepared for this exam and am excited to see how it goes