ElectricPavlov

sqrt (   (-3-2)^2     +  ( 5- -4)^2    +  (-7 - 6)^2  ) 

There are MANY others.....but look at Vietnamese 'd**g' 

500 E = 13,098,875.92VND

Here is Luis' head start      rate x time = distance

                                            8 m/h   x 3/4 h = 6 miles   (Luis' walks really fast !)

Kristen then takes off on here bike (she is pretty fast too!)

    when are the two distances of L and K equal?

Luis will go    6 m  +  8 m/h * x    miles

Kristen will go        28 m/h *x   miles                these miles are equal when K catches L

6 + 8x = 28 x         solve for 'x' which is th amount of HOURS they will meet

6 = 20x

x = 3/10 hr     after K takes off on her bike she will catch L

How far is that?    28 m/hr x 3/10 hr = 8.4 miles from home....  and hopefully K has BROUGHT the wallet and not just the info that L forget it! !

r = k/u       when r = 8    u = 11     find proportionality constant k

8 = k/11      k = 88

r = 88/u     now what is r if u = 1/4 ?

r = 88/(1/4) = 88 * 4 = ......

You cannot divide 1 by zero    it is  UNDEFINED

1/0   does NOT equal infinity....it is UNDEFINED

Distance is equal both ways

rate * time = distance            equate the two equations for distance:

r*8  =  (r+16)6        solve for   r   = 48 m/hr     then r+16 = 64  m/hr

we know here rate     in both directions   and the time invoved       8 hrs x 48 m/hr = 384 m

                                                                                                         6 hrs x 64 m/hr = 384 m

3/8 x 24 = 9 coins out of 24 are US

     add 12 coins....now  9 out of 36 coins are US     9/36= 1/4

B.    9/(36 +x) = 1/8     solve for x.....the amount to add

First find the hypotenuse

sqrt (10^2 +(-4)^2 = 10.77

cos = adj/hypotenuse

       = 10/10.77 = .92847          sec = 1/cos = 1/.92847 = 1.077

The cosecant function is positive in quadrant I .

The cosine function is negative in quadrant IV .

The tangent function is negative in quadrant II .

The cosine function is positive in quadrant ​ II ​.

The cotangent function is positive in quadrant ​ III ​.     

a =x =4.5