ElectricPavlov

First find the value of 'x'    not 'X'

9x+18    +   5x+15     + X   =  15x   + 3x+21  + X

4x -12 = 0

x = 3 

then for triangle vxu      3(3) +21   + X  + 15(3) = 180   show X = 105 degrees     (this is VXU)

Try ctrl and prtscrn    

The domain can be any x EXCEPT for x's that cause the denominator to be equal to or less than 0

x cannot equal 1  or  -1  or any value between

(-inf,-1) U (1,+inf)

x=6

Log3 ((x+3)(x-5) ) = 2

log3 (x^2-2x-15) = 2

x^2 - 2x - 15 = 3^2

x^2 -2x-24 =0

(x-6)(x+4) = 0      x = 6    or   -4 (throw out....cannot have log of a negative )

The quadratic looks like this:    (x+99 + sqrt(8021) (x +99 - sqrt(8021)

The value of 'c' will be     (99 + sqrt8021)(99-sqrt8201)      Expand......

5^2x+3= 5^x * 5^x * 5³      Now can you solve it (knowing 5^x = 3)?

x = original salary

1.16 x = salary after increase

1.16 x = 55680    solve for x

x = 55680/1.16 = $_____________

S

See if you can understand why...

180 all together

all end up with the same (60 each)       so   C - 1/3 C = 60

                                                                     C = 90    stamps originally

(4 - 5i)(5 + 5i)    expand

20 + 20i - 25i- 25i^2

20 -5i + 25

45-5i