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:
When t = 1, P(t) = 12, hence, we can find b:
Hence, the expression is:
To learn more about linear function, you can take a look at brainly.com/question/25823744
Let the another number is x
And the sum of number is 30
And the one number is 23
x+23=30
x=30-23
x=7
the another number is 7
C
SSS can be used because ln is congruent to ln by reflexive property.
Answer:
The rate charged by the first mechanic was $65 per hour and the rate charged by the second mechanic was $105 per hour
Step-by-step explanation:
Let
x ----> the amount charged per hour by the first mechanic
y ----> the amount charged per hour by the second mechanic
we know that
the sum of the two rates was $170 per hour
so
----> equation A
Together they charged a total of $1825
so
----> equation B
solve the system by graphing
Remember that the solution is the intersection point both graphs
using a graphing tool
The solution is the point (65,105)
see the attached figure
therefore
The rate charged by the first mechanic was $65 per hour and the rate charged by the second mechanic was $105 per hour