I just completed the graph, but it really shows nicely what the points mean in correlation with the time and distance. The slope formula tells us the distance per hour and teh grapgh tells us if its negative or positive.
y-intercept to general form-Math 10 Week 15
Here we are going from the y-intercept form to general form. This one is special since it has a fraction. We look at the denominators of both the fractions, i just made 5 over 1, then we see the lowest common multiple which in this case is 4 since 4 times 1 is four. So we multiply everything by four and then divide it by the denominator.
Then once we have moved the question down and moved the y also, we can place it on the other side of the equal sign so that we have a remaining equals to zero, the y gets moved commonly inbetween x and the last b number. Now it is in general form.
Week 6-Math 10 + Patterns in Polynomials
FACTORING POLYNOMIALS
The question is in purple and so in blue i wrote down the multiples of the Square root number on the left then the multiples to the number on the left. I rewrote it trying it with the first pair of multiples and placing the multiples of the number i could see that it wouldn’t work and i tried it in the other order (in green) and it still wouldn’t work so i went to the second pair of multiples.
So i rewrote the question and seeing that the middle number that im trying to get to is a negative i knew that in my combination it would have to be both a negative and a positive so i happen to put them in the right order the first time and it worked out as shown in blue.
PATTERNS IN POLYNOMIALS
Cats Die Pretty Easily Unfortunately
Unfortunately its the only acronym i remember for
COMMONS,DIFFERENCE OF SQUARES, PATTERNS,EASY,UGLY
I think this is a pattern for the polynomial in going through this list to sort of answer the question without doing much. Also Pattern of seeing a number that squared, a X number and a number on the end (this pattern means that we are going to be able to put everything into two brackets or the Squared multiples
Week 9 Math 10
How to simplify a polynomial:
first we do the operations in the brackets using foil so
-A squared times 3A squared=3A fourth
-A squared times (-) A = (-) A cubed
-A squared times (-) 1=(-)A squared
And then you do the same process but instead using +2
Then you bring everything down to the next bracket carrying the (-) 3
Add like terms and then multiply by the outside term.
Week 8 Math 10
This is from polynomials chapter 1.
The questions asks to arrange the terms in ascending order so starting from lowest to highest so for the first question i divide the polynomial into parts so i can arrange and see them more clearly.
First is 5 since five doesn’t have a variable its power value is of zero, then -9w since the variable w is of a power of only one, then +6w2 since w is now of value of 2 and then the last one being of power 3 the largest.
Weekend Bonus Project
Conveniently i have a staircase in the backyard in the shape of a right triangle. I measured from the ground to the top of the porch where the stairs meet the porch.
The angle of depression ( i measured from the ground up to the opposing corner) is 36 degrees. So where the standing pole meets the top of the staircase is where 36 degrees is.
From the bottom of the staircase to the bottom of the standing pole it is 11 ft.
So from the angle, 11 ft is the opposite side, the standing pole is the adjacent side and the staircase is the hypotenuse.
My work being:
TAN 36 degrees= 0.7265
11ft/0.7265=15.14
So the standing pole to be 15.14 ft tall.
I dont think this is right though since normally the height is smaller than the length.