CPhill

.05^2

Note    .05  =    5 / 100   =  1 / 20

So

.05^2  =  (5/100)^2  =  (1/20)^2   = (1/20) (1/20)   = 1  / 400

Also

.05

.05

___

.0025

These two answers are equivalent

OK.....

(3, 2)   (5,12)

Slope  =    

Slope    =      [ subtract the y coordinates in some order  ]              [  12 - 2 ]            10

                    ______________________________________   =  _________    =   ___    =   5    

                      [subtract the x coordinates in the same order ]         [   5 - 3 ]              2

(3,2)  (5,12)

Slope    =      [ subtract the y coordinates in some order  ]

                    ______________________________________

                      [subtract the x coordinates in the same order ]

With this info....see if you can do the first one, NSS

For the second one   slope  = 2/7     (0, -12)

y  = slope  ( x  -  given x)  +  given y

Try this one too, NSS.....

y  = 

Since   the first value we're given is, - 4   we want to look for the correct function to plug this into

Notice that the last function is only good when x > 1......so that's not the one we want

The second function is only good when  x > -4     [and  ≤ 1 ]    so....we don't want that one, either

So....the first one says it's good when  x  is less than or equal to  - 4.....so that's the one we want

So    ....puting  -4  into x^2  we get    (-4)   =  16

Then...we want to choose the correct function when x  = 4

This is obviously the last one   since it's good when  x > 1

So...plugging  4  into √ x....we get  √ 4    = 2

Dallas  =  1 x 10^6

Los Angeles  = 3 times Dallas  =   3 [ 1 x 10^6]  =   3 x 10^6

Pittsburgh / Dallas   =    [ 3 x 10^5 ]  /  [ 1 x 10^6]  = 3 / 10  that of Dallas

guest.... Thanks for pointing out my earlier mistake  !!!!!

2sin (2x)

__________    =     5

1 - sin^2 (x)

2sin(x)cos(x)   

___________  =    5

cos^2(x)

2sin (x)

______         =     5

cos (x)

2tan(x)  =  5              divide both sides by 2

tan (x)   = 5/2    = 1.25

 Area = (side)^2

So......

√ Area   = side

-2x^2 + 242  = 0      divide through by  -2

x^2 - 121   =  0       add 121 to both sides

x^2  = 121   take positive / negative  roots

x  = ±√121

x  = ±11

OK, GR....!!!

The area  is given by the side^2

So

200  = s^2        take the square root of both sides

√200  = s

√[ 100 * 2]   = s

10√2  = s  ≈  14.14 ft