Answer:
x as a fraction: 11
Step-by-step explanation:
Variable x cannot be equal to −2 since division by zero is not defined. Multiply both sides of the equation by 9(x+2), the least common multiple of 9,x+2.
2 ( x+ 2) = 9 x 3
Use the distributive property to multiply 2 by x + 2.
2x + 4 = 9 x 3
Multiply 9 and 3 to get 27.
2x + 4 = 27
Subtract 4 from both sides.
2x = 27 - 4
Subtract 4 from 27 to get 23.
2x = 23
Divide both sides by 2.
x = 
Simplify
11
Hope it helps and have a great day! =D
~sunshine~
Answer:
125/6(In(x-25)) - 5/6(In(x+5))+C
Step-by-step explanation:
∫x2/x1−20x2−125dx
Should be
∫x²/(x²−20x−125)dx
First of all let's factorize the denominator.
x²−20x−125= x²+5x-25x-125
x²−20x−125= x(x+5) -25(x+5)
x²−20x−125= (x-25)(x+5)
∫x²/(x²−20x−125)dx= ∫x²/((x-25)(x+5))dx
x²/(x²−20x−125) =x²/((x-25)(x+5))
x²/((x-25)(x+5))= a/(x-25) +b/(x+5)
x²/= a(x+5) + b(x-25)
Let x=25
625 = a30
a= 625/30
a= 125/6
Let x= -5
25 = -30b
b= 25/-30
b= -5/6
x²/((x-25)(x+5))= 125/6(x-25) -5/6(x+5)
∫x²/(x²−20x−125)dx
=∫125/6(x-25) -∫5/6(x+5) Dx
= 125/6(In(x-25)) - 5/6(In(x+5))+C
Answer:
Step-by-step explanation:
x= -8,-11
Answer:
BC = 19.78
Step-by-step explanation:
using sin(x) rule
sin(54)= 16/BC
sin(54)=0.80
∴0.80=16/BC (divied both side by 0.80)
BC=16/0.80 =19.78
The first equation is

The second equation is

If you sum the two equations you'll cancel y:

And since the sum must be 11, we have y=9.