CPhill

This will be undefined when the denominator = 0 

That is, when 

x^2 -3x + 2 = 0    

factor

(x - 2) ( x - 1)  = 0

And setting each factor to 0,  x = 2   and x = 1

And these are the values that make the rational function undefined.

298214.5833........[repeating 3s]

Yep....I noticed that the "copy and paste" function can't distinguish between exponents and non-exponential numbers....it treats all of them as non-exponential  [ unless, of course, you use the " ^ "  symbol ]

OK....here's one

Triangle ADC is contained within triangle ABC.....prove that angle ADC >  angle ABC

[Hint:  draw an altitude from B through D......  ]

4 1/3 +8 3/4 ÷5 1/4

We need to perform the division, first......

Note     8 3/4   =  35/4      and  5 1/4   =   21/4

So

35/4  /   21/4      =

35/4 * 4/21   =  

35/21 * 4/4  =

5/3 *  1  =

5/3  =  1+ 2/3

Now, add

4 1/3  + 1  2/3  =

4 + 1 + 1/3  + 2/3  =

5 + 3/3  =

5 + 1  =

6

Since the  47.1 cm is the circumference of a circle, we can find the radius thusly:

47.1 = 2 * 3.14 * r   =  6.28 r    solve for r

r =  [ 47.1 / 6.28  ]    cm

So....the area covered  is =

pi * r^2  =

3.14 *  [ 47.1 / 6.28]^2  = about 176.63 cm^2

2sin²x + sinx   =  0         factor out sin x

sinx [ 2sinx + 1]  =  0     set both factors  =  0

sin x  =  0       and this happens at 180 °  on   0 > x > 360

And

2sin x  +  1  = 0        subtract 1 from both sides and divide both sides by 2

sinx = -1/2      and this happens at 210° and at 330°  on the interval of interest

I was feeling a little "devilish",..........

Nice answer, OliviaPi  .....5 pts. from me....

She's correct......this just evaluates to  (4/5)x + 13

3² x 3⁵   =  3²⁺⁵  =  3⁷  =  2187