The formula to find the area of a triangle is:

Plug in what we know:

Multiply:
Answer:

Step-by-step explanation:
Given


Required
Probability of not getting audited
If a pair of dice is rolled, the following are the observations of the sum




So, in a single roll; The probability of getting audited is:



The probability of not getting audited in a single roll is:
--- Complement rule

Take LCM


The probability of not getting audited in 5 rolls is:




Answer:
8
Step-by-step explanation:

The vertex is (3,0).
The 3 inside the abs val bar tells you the x value of the vertex is 3. No number outside the abs value bar is a +0 which is the y value of the vertex.
Answer:
y = -5/3 * x - 40/3
Step-by-step explanation:
A perpendicular line has an opposite and a reciprocal of the slope.
Your equation should be:
-5y = -3x +6
Divide all parts by -5.
y = 3/5x - 6/5
Since the perpendicular line has an opposite and a reciprocal of the slope, the slope will be -5/3.
Now you must make an equation in point-slope form. This is an example of that form. You will need at least one point to make this equation work. In this case we have (-8,0).
In put the y and x coordinates like this:
y - 0 = -5/3(x - (-8)
Start solving the equation.
y - 0 = -5/3(x + 8)
y - 0 = -5/3 * x - 40/3
y = -5/3 * x - 40/3
This is your equation.
y = -5/3 * x - 40/3
(You can make it -5/3x in your answer but it looks weird online. You may think that it is -5 divided by 3 times x, but it actually is 5/3 times x. That's why I wrote it as y = -5/3 * x - 40/3)