Answer:
The length of the rectangle is 31.
Step-by-step explanation:
We have that the length (L) and width (W) are:


The perimeter of the rectangle is given by:



Now, we can calculate the length of the rectangle:
Therefore, the length of the rectangle is 31 units.
I hope it helps you!
Answer:
12, 17, 24
Step-by-step explanation:
To find the first 3 terms, substitute n = 1, 2, 3 into the rule, that is
T₁ = 1² + 2(1) + 9 = 1 + 2 + 9 = 12
T₂ = 2² + 2(2) + 9 = 4 + 4 + 9 = 17
T₃ = 3² + 2(3) + 9 = 9 + 6 + 9 = 24
Answer:
1. -11
2. 4.6
3. 5.8
4. -6
Step-by-step explanation:
Answer: 9
Step-by-step explanation: In this problem, we're going to evaluate a² + b knowing that <em>a</em> = -2 and <em>b</em> = 5.
So the first thing we want to do is substitute these numbers into our problem.
Since <em>a</em> = -2, we will replace <em>a</em> with a -2 and as we do that, we will put that -2 in parentheses and square it since we have a². Squaring a number just means multiplying a number by itself so (-2)² is equal to 4 since a negative multiplied by a negative gives us a positive.
Now we will replace <em>b</em> with 5 and now we have the following.
4 + 5 simplifies to 9.