Looking for trustworthy answers? Westonci.ca is the ultimate Q&A platform where experts share their knowledge on various topics. Get immediate and reliable solutions to your questions from a knowledgeable community of professionals on our platform. Experience the convenience of finding accurate answers to your questions from knowledgeable experts on our platform.
Sagot :
Using a linear function, it is found that the expression to find the perimeter of the composite figure made up of t triangles is:
- [tex]P(t) = 2t + 10[/tex]
What is a linear function?
A linear function is modeled by:
[tex]y = mx + b[/tex]
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.
What is the perimeter of a figure?
- The perimeter of a figure is the sum of all it's outside dimensions.
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 [tex]m = 2[/tex], and the equation is:
[tex]P(t) = 2t + b[/tex]
When t = 1, P(t) = 12, hence, we can find b:
[tex]12 = 2 + b[/tex]
[tex]b = 10[/tex]
Hence, the expression is:
[tex]P(t) = 2t + 10[/tex]
To learn more about linear function, you can take a look at https://brainly.com/question/25823744
Thank you for visiting. Our goal is to provide the most accurate answers for all your informational needs. Come back soon. We hope our answers were useful. Return anytime for more information and answers to any other questions you have. We're glad you visited Westonci.ca. Return anytime for updated answers from our knowledgeable team.
