CPhill

Midpoint of AC =  [ (5 + 0) / 2 , (-1 + 00 / 2 ]   =  [5/2, -1/2]   =  L

Midpoint of BC = [ ( 2 + 5) / 2 ,  (-1 + 2) / 2  ]   =  [7/2, 1/2]   = M

Slope of AB   =   [2 - 0] / [ 2 - 0]  = 2/2 =  1

Slope  of LM  =  [ -1/2 - 1/2] / [ 5/2 - 7/2]   =  [-1] /  [ - 2/2]  =  -1 / 1   = 1

So....LM is parallel to AB

And  the length of AB  =   sqrt(8)  =  2sqrt(2)

And the length of LM = sqrt [ 7/2  - 5/2)^2  +  ( 1/2 + 1/2)^2 ]   =  sqrt  [  1^2 +  1^2]   =   =  sqrt(2)  = (1/2)2sqrt(2)

sqrt(25)   = 5

So

srt(25) * cube root(5)  =      5*cuberoot(5)

If the number is even and the sum of its digits  = 9, or any multiple of 9, then, it's divisible by 18

So....

473112   is even  and its digit sum = 18  = 2 * 9.....so.....it's divisible by 18

So......473112  is divisible by 18

God bless you, Hayley.....

And ANYTIME is a good time for pumpkin pie....!!!!!!

Yep.....ya' got em' all correct !!!!!!

Good job  !!!!!

All except for the second one.....look at it again.....

Good job, otherwse  !!!!!

(2/3)  - (2/5)

Get commmon denominators

2/3  =  10/15

2/5 =  6/15

So

10-15 - 6/15 =

4/15

Excellent!!!!!!

Here's a few more

(y - 4)  = (x + 4)^2

(y + 2)  = (x - 3)^2

(y - 3)  = (x + 20)^2

(y + 1/2)  =  (x  - 3/4)^2           Hint :  remember,   the opposite of 2/5  =  -2/5

70% of 400  

Convert the % to a decimal   = .70     ....and "of" means "multiply"

.70 * 400  =  280

Let's try this approach, Hayley......I realize that I might have confused you

(y - 8)   = (x + 3)^2

Take the opposite of each number in the parentheses

Opposite  of   + 3   = - 3

Opposite of -8   = 8

So the vertex   =  (-3, 8)

Another example

( y  + 6)  = (x + 7)^2

Opposite  of +7   = -7

Opposite of +6  = -6

Vertex = ( -7 , -6)

Try this one

( y  - 2 )   = ( x+ 5)^2