Answer:
189
Step-by-step explanation:
189 hshwhwjwowoqoqooqpqp
Using a linear function, it is found that the expression to find the perimeter of the composite figure made up of t triangles is:
<h3>What is a linear function?
</h3>
A linear function is modeled by:
In which:
- m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
- b is the y-intercept, which is the value of y when x = 0.
<h3>What is the perimeter of a figure?</h3>
- The perimeter of a figure is the<u> sum of all it's outside dimensions.</u>
Researching the problem on the internet, it is found that:
- When the figure is made of 1 triangle, the perimeter is of 12, as it is an isosceles triangle with two dimensions of 5 and one dimension of 2.
- When the figure is made of 2 triangles, the perimeter is of 14. For 3 triangles, it is of 16, and so on...
- Hence, when the number of triangles changes by 1, the perimeter changes by 2, which means that the slope is
, and the equation is:
![P(t) = 2t + b](https://tex.z-dn.net/?f=P%28t%29%20%3D%202t%20%2B%20b)
When t = 1, P(t) = 12, hence, we can find b:
![12 = 2 + b](https://tex.z-dn.net/?f=12%20%3D%202%20%2B%20b)
![b = 10](https://tex.z-dn.net/?f=b%20%3D%2010)
Hence, the expression is:
![P(t) = 2t + 10](https://tex.z-dn.net/?f=P%28t%29%20%3D%202t%20%2B%2010)
To learn more about linear function, you can take a look at brainly.com/question/25823744
2.75
Sorry about the blurry photo and hope this helps
The numbers are complex numbers, and the sum of the complex numbers (-4 +i) and (10 - 5i) is 6 - 4i
<h3>How to evaluate the sum?</h3>
The expressions are given as:
(-4 +i) and (10 - 5i)
The sum is represented as:
Sum = (-4 +i) + (10 - 5i)
Open the brackets
Sum = -4 +i + 10 - 5i
Collect like terms
Sum = -4 + 10 +i - 5i
Evaluate the like terms
Sum = 6 - 4i
Hence, the sum of the complex numbers (-4 +i) and (10 - 5i) is 6 - 4i
Read more about complex numbers at:
brainly.com/question/10662770
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