# Math 10 Week 18

The top 5 things that I find important for math 10.

1. BEDMAS

it stands for: Brackets, Exponents, Division, Multiplication, Addition, Subtraction.

It is essential to know for when attempting any question because it is the order of how to solve something.

2: the exponent rule

exponents are weird, and have a different way of being solved.

ex: 5 to the power of 4 times 5 to the power of 9. You would think that it would equal 5 to the power of 36 but it is not. when exponents are multiplied or divided, it is like addition or subtraction. only when there are exponents on the of brackets, then you can multiply or divide: (5 to the power of 7) to the power of 4 = 5 to the power of 28. It is handy to know this so you don’t go making mistakes with exponents

3: Pythagoras theorem

this is handy to know if you are doing anything with triangles. It can find a missing side of you have 2 of the 3 sides. a2 + b2 = c2

knowing how to convert radicals to mixed radicals and mixed radicals to radicals can be useful. eample: √96

to turn this into a mixed radical you need to split 96 into 2 numbers: ex: √16 and √6.

this would equal 4√6.

to get back to a radical, you need to put the 4 back under the root sign. this would need 2 4’s. so now you have √4x4x6, which would equal √96

5: KHDUDCM

for measurement, this acronym is very hand for memorizing all the conversions.

this is the acronym: King Henry Doesn’t Usually Drink Chocolate Milk

what it actually stands for: Kilo, Hecto, Deca, Unit, Deci, Centi, Milli

# Math 10 Week 17

This week in math I have learned how to solve and sub with linear equations.

ex: y=3x-7 and y=-x+9

first, I would sub in -x+9 for y of y=3x-7
-x+9=3x-7

next I would subtract 9 from each side
-x+9=3x-7
-9       -9

then I would subtract 3x from each side

-x=3x-16
-3x -3x

Then I would divide each side by -4

-4x/-4=-16/-4

Which would make x=4. Now I would imput 4 into y=-x+9

Now to solve for y

y=-x+9

y=-(4)+9

y=5.

to double check my answer I would do the same with the other question:

y=3x-7

y=3(4)-7

y=12-7

y=5

That is how you do it.

# Math 10 Week 16

this week in math I have learned how to convert slope intercept forum(y=mx+b) to  general forum (Ax+By+C=0).

example:

(3,-7) and (-5,9)

first, you find the slope, y1-y2/x1-x2.

> m= -7-9/3-(-5)

> m= -16/8

-16/8 can be reduced to -2 by dividing both sides ny 8.

now, so far we have y=-2x+b. to find b, we will need to put in x and y values from one of the points:

> (-7)= -2(3) + b

> -7= -6 + b.  next we move everything but b to the other side of the equation. So we will have to add 6 to both sides

>6 – 7=b, -1 = b. Now that we have found b, we can put it back into y= -2x -1. We now need to move -2x and -1 to the other side, so we will need to add 2x and 1 to each side

this will result in 2x + y+ 1=0

that is how you convert slope intercept forum into general forum

# Letter Graph  For E:
(-3,2) (-3,-5)     x=-3

(-3,2)(3,6)     2/3(x+3)=y-6

(-3,-1)(1,-1)     y=-1

(-3,-5)(4,-6)     -1/7(x+5)=y+6

For B:

(-5,-7)(-4,-15)     -8/1(x+7)=y+15

(-5,-7)(2,-8)     -1/7(x+7)=y+8

(2,-8)(1,-10)     2/1(x+8)=y+10

(1,-10)(-4,-11)     -10.2=b, -10=1/5(1)+b

(-4,-11)(3,-12)      -1/7(x+4)=y+11

(3,-12)(4,-13)      -1/1(x-3)=y+12

(4,13)(-4,-15)     4(x-4)=y+13