Answer:
r = 9
Step-by-step explanation:
3(r - 1) - 2(r + 3) = 0
First, use the distributive property.
3r - 3 -2r - 6 = 0
Now, isolate the variable "r" to one side by adding the opposite of the whole numbers to each side so it cancels it out on the left ide and adds it to the right.
3r - 3 -2r - 6 = 0
+3 +6 +3 +6
3r - 2r = 9
Subtract the r's.
r = 9
Now that we know r = 9, we can plug in 9 into the original (but distributed) expression for every time it uses the variable "r" to check our work.
3r - 3 -2r - 6 = 0
3(9) - 3 - 2(9) - 6 = 0
27 - 3 - 18 - 6 = 0
24 - 24 = 0
0 = 0
So, r = 9 is true.
Hope this helps! If you have any additional questions, please don't hesitate to ask me or your teacher to be sure you master the subject. Stay safe, and please mark brainliest!
Answer:
B. (2a +3b)(4a -c)
Step-by-step explanation:
Group the terms pairwise, then factor each pair.
... (8a² -2ac) +(12ab -3bc)
2a is a common factor in the first pair of terms; 3b is a common factor in the second pair of terms. We can factor those out.
... = 2a(4a -c) +3b(4a -c)
Then we see that (4a-c) is a common factor in the result. We can factor that out.
... = (2a +3b)(4a -c) . . . . matches selection B
The area is 864 square, or 6 square feet.
Using the binomial distribution, it is found that there is a 0.125 = 12.5% probability of observing exactly 3 tails.
<h3>What is the binomial distribution formula?</h3>
The formula is:
The parameters are:
- x is the number of successes.
- n is the number of trials.
- p is the probability of a success on a single trial.
In this problem, considering 3 tosses of a fair coin, the parameters are n = 3 and p = 0.5.
The probability of 3 tails is P(X = 3), hence:
0.125 = 12.5% probability of observing exactly 3 tails.
More can be learned about the binomial distribution at brainly.com/question/24863377
Answer:
15
Step-by-step explanation:
Area of a triangle = 1/2 * base * height
Using the given information,
45 = 1/2 * L * 6
45 = 3L simplify
15 = L divide both sides by 3
