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5x+8y=-9   is the same as     y = - 5/8 x - 9/8     slope , m = -5/8         perpindicular slope = - 1/m = 8/5

so you new line becomes

   y = 8/5  x + b       sub in the given point to find b

  -12 = 8/5 (10) + b

         b = - 28        

y = 8/5 x - 28      You can finish !   

Thank you. :))

=^._.^=

Factors to  (3y-14)(4y-3)      Take it from here !

thanks for the answer. 

Lets have a look at your method mathisopandcool

XXXXB       4!             = 24

XXXBX       3*3!          =18

XXBXX       3*2! *2      =12

XBXXX      3!              =6

total = 24+18+12+6 = 60 ways

If you want me to explain any of these just ask.    

That is a REALLY nice method catmg.  Thanks for showing it :)

Give yourself a point!  

This question has been asked multiple times.....it is messy because of the big numbers involved, but it looks like this:

(40 000 - 400x)(200 + 10x)  = revenue        Where x is the number of 10 dollar increases

= -4000 x^2  + 320 000 x + 8 000 000

This is a quadratic that is a dome shaped parabola with the max occuring at    -b/2a  = 40       ten dollar increases

    which means a ticket price of 600 dollars

This has a really nice method. 

B will be left of A 50% of the time, right of A 50% of the time. 

5*4*3*2*1 total ways to be in a line, 50% of which are where B is on the left of A. 

5*4*3*2*1/2 = 60

=^._.^=

Square root cannot be negative  

   so for the first part   sqrt (x)   the domain is    x >= 0

       then it is subtracted from two and squre 'rooted' again ....cannot be negative

               so x must be between 0  and   4   inclusive

    then it is added to 1 before taking the square root again....if the previous step was positive or zero, this will be too...

[ 0 , 4 ]

ok thianks!

Pick any two points to form a line:

12 C 2 = 66     Correct !

= 12 ! / (2! 10!)

f = 2s

and

(f+4) = 14

Sub in the red equation

(2s+4) = 14

     I guess that is what is wanted......?

You get 24

plus 

9

plus

12

plus

6

24+9+12+6

33+18

51 im rlly bad at math idk if this is r

Re-arranging:

V/I = R

50 v / .2 A   = 250 ohms

Now cut wire in half     it i s now   125 ohms

   apply 300 v across it     (NOTE: the question erroneously says  ' 300 volts THROUGH it ' )

     I  =  v/R = 300/125 = 1.2 Amps     or  1200 milliamps

there are 5 numbers not 4

wait sorry its wrong im dumb

If B is adjacent to A we can make them as 1 letter, so  4!=24

If B is one away from A, we have 4 cases.

BCAD

BDAC

DBCA

CBDA

If B is two away from A we get:

BCDA

BDCA

24+4+2=30

30 ways

$\mathrm{No\:Solution}$

30 ways i can explain it but my working got deleted when i was writing it

sure!

oops lemme recalculate

You will measure 200*300/50 = 1200 milliamps.

To prove A = 1/2•ab•sinC    

What is sinC ... it's the opposite over the hypotenuse, so call sinC as h/a 

Now, A = 1/2 • ab • h/a  

The a's cancel, leaving A = 1/2 • b • h  or  one-half the base times the height, the standard formula for area of a triangle  

Is that good enough proof?  

_.