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f(x) =  3 / { x + 3] - 9

The vertical  asymptote is the value of x that makes the denominator = 0

So....

x + 3 =  0

x = - 3   ⇒   vertical asymptote

To find the horizontal asymptote.....note that       3/ [ x +3 ]   is a lower power polynomial / higher power polynomial

When we have this situation, the horizontal asymptote is y = 0

However .....   the "-9"   at the end actually shifts this horizontal aymptote DOWN by 9 units

So....the horizontal asymptote is y = - 9

Here's the graph :   https://www.desmos.com/calculator/93af4udovt

0.93   is  ninety three hundredths       =    93/100

To reflect on x axis multiply the x part by -1

-sqrt(x+1)

to shift it 3 units left....add 3

-sqrt(x+4)

to shift it up   add   +2   to the -3 part

-sqrt(x+4)  -1

Yes, circumference is     22 pi

ANGLE PTS   = 180 - 16 = 164 degrees

    the ARC LENGTH of this angle is a FRACTION of the total     164/360   *  22pi

Domain = [ 2, inf )

Range = [ 0, inf )

On THIS website calculator   \(\frac{2}{3}\)   is entered as    2 \(\)divided by 3     

so   2/3   + 1/2 = 1.1666666666666667    if you look at the equation ABOVE the calculator it will show you the fraction  \(\frac{7}{6}\)

A radical function contains a radical expression with the independent variable (usually x) in the radicand. Usually radical equations where the radical is a square root is called square root functions.

I'm sorry but that is incorrect. Thanks for trying anyone else please help???

Ohhh okay I didn't even see that lol thanks

Again..... realize that ALL of the arc angles add up to 360 degrees

12x   +   17x-14    +   2x+5  +    AB = 360          AB is labelled as a right angle , so it equals 90 degrees

12x    +   17x-14   +   2x+5   +   90  = 360...........     There ya go !

OK

12x+17x+2x    - 14+5+90 = 360

31x = 279

x=9

I got x=21 and the angles in order are 193,98,159,and 193

So would I add up 34 and 61 first to get 95 and then do

9x-22+5x-7+95 and subtract 95 from both sides so it's 9x-22+5x-7=265

Add up ALL of the angles = 360

9x-22    +  34  +  5x-7   +61 = 360       OK?

Depends on what calculator you're using. If you could give me a model I could help you out. 

Good !   It WAS pretty easy......

Thanks I actually ended up getting it, it was super easy haha. x=6

83% / 100%  x 408 =.83*408 = 338.64

DFC is 27     so  complimentary angle   CFB   is   90 -27 =63 

Now  CFB + 21x-9   are supplementary = 180

             63 +   21x-9 = 180        Can you take it from here?

17.9

Here is a guess....

   Sofa seats 3 (?)  love seat allows for 2

                    220                   -        160  = 60 inches

Love seat sits 2     cahir sits 1

              160       -  60  =   100 inches       That is some rather LARGE furniture !   Couch is over 18 feet long !

If \(2ab = 12\), evaluate \(8a^2b^2\).

\(\begin{array}{|rcll|} \hline 2ab &=& 12 \quad | \quad : 2 \\ ab &=& \dfrac{12}{2} \\ \mathbf{ab} & \mathbf{=} & \mathbf{6} \\\\ 8a^2b^2 &=& 8 (ab)^2 \quad | \quad \mathbf{ab=6} \\ &=& 8\cdot (6)^2 \\ &=& 8\cdot 36 \\ &=& 288 \\ \hline \end{array}\)

\(8a^2b^2 = 288 \)