Area of a triangle = (height * base ) / 2
height = (Area * 2) / base
height = (49.5 * 2) / 9
height = 99 / 9
height = 10 cm²
In this problem, we need to plug in the given x values for

and find a and b.
When we plug in 1, we get:

Simplify:



We got our first statement about the values of the variables. If we find one more we can find those 2 variables.
We have another given root: 4.
Plug it in:




Now we have our second one. We can combine them:

I use elimination method which is easier here.
Multiply the top equation by -1:

Add them up:

Simplify:

Now we have a, we can plug in one of those equations to find b:



So, the answers are

and

.
Step-by-step explanation:
Below is an attachment containing the solution.
Answer:
Solving the equation
for variable n we get 
Step-by-step explanation:
We need to solve the equation
for variable n
Solving:

Subtract both sides by 6p

Switch sides of equality

Divide both sides by 3

So, solving the equation
for variable n we get 
Answer:
20 tickets
Step-by-step explanation:
tickets/total tickets * 100% = 10% chance to win the raffle
x/200*100=10
solve for x
x/200 = 10/100
x = 200(0.1)
x = 20