First set up a proportion because they are similar triangles:
9/3x-20 = (72+9)/(56+3x-20)
9/3x-20 = 81/3x+36
9(3x+36) = 81(3x-20)
27x+324 = 243x-1620
1944 = 216x
x = 9
Use ac method
for ax²+bx+c=0 when a≠1
multiply a and c, let's call the product r
what 2 numbesr multiply to get r and add to get b
2y²+9y+9=0
2*9=18
wat 2 numbers multiply to get 18 and add to get 9
3 and 6
split it up to that
2y²+3y+6y+9=0
group
(2y²+3y)+(6y+9)=0
factor
y(2y+3)+3(2y+3)=0
undistribute
(y+3)(2y+3)=0
set to zero
y+3=0
y=-3
2y+3=0
2y=-3
y=-3/2
y=-3 and -3/2
it's factored form is (x+3)(2x+3)
Answer:

Step-by-step explanation:
We want to solve the equation:

Over the interval [0, 2π).
First, notice that this is in quadratic form. So, to make things simpler, we can let <em>u</em> = cos(x). Substitute:

Rearrange:

Factor:

Zero Product Property:

Solve for each case:

Back-substitute:

Using the unit circle:

if you use the distributive property, the answer would be 99x+108 because you have to multiple 11x times 9 and 12 times 9
Answer:
<h2>

</h2>
Step-by-step explanation:
The probability of occurring the event A is
.
The probability to occur the event B is
.
It is also given that the events are independent that is they do not depends on each other.
So, the probability of occurring both the events simultaneously can be get by simply multiplying the probabilities of both the events.
Hence, the probability is
}[/tex] =
.