What is the difference?
x/x^2-16 - 3/x-4

2(x+6)
(x+4)(x-4)

-2(x+6)
(x+4)(x-4)

X-3
(x+5)(x-4)

-2(x-6)
(x+4)(x-4)

Difference is -2(x+6)/(x+4)(x-4)

Step-by-step explanation:

Step 1:

Find the difference between x/x²-16 and 3/x-4

Now x² - 16 = (x-4)(x+4) (using the identity a² - b² = (a+b)(a-b)

⇒ x/x²-16 = x/(x-4)(x+4)

⇒ x/(x-4)(x+4) - 3/x-4 (Subtracting the both to find difference)

= 1/(x-4) [x/x+4 - 3]      (Taking the common factor 1/x-4)

= 1/x-4[x - 3(x+4)/x+4]

= 1/(x-4)(x+4) [x - 3x - 12]

=  1/(x-4)(x+4) [-2x - 12]

= -2(x+6)/(x-4)(x+4)

answer:   28.56 feet (approx)

step-by-step explanation:

since, triangle abc has measure of angle c equal to 55 degrees, measure of angle abc equal to 90 degrees, and length of bc equal to 20 feet.

we have to find out the measurement of segment ab.

therefore, tan 55° =

but bc = 20 feet.

⇒ tan 55 ° =  

⇒ ab = 20 × tan 55 °

⇒ ab = 20 × 1.42814800674

⇒ ab = 28.5629601348   ≈ 28.56 feet