Answer:
.......
Step-by-step explanation:
The area of the convex polygon is 43/2 square units
<h3>How to determine the area of the convex polygon?</h3>
The vertices are given as:
(0,5), (-1,2), (4,4), (-3,-4) and (2,0)
The area is then calculated as:
![A = \frac 12(\left[\begin{array}{cc}x_1&x_2\\y_1&y_2\end{array}\right] + \left[\begin{array}{cc}x_2&x_3\\y_2&y_3\end{array}\right] + ....+\left[\begin{array}{cc}x_n&x\\y_n&y\end{array}\right] )](https://tex.z-dn.net/?f=A%20%3D%20%5Cfrac%2012%28%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7Dx_1%26x_2%5C%5Cy_1%26y_2%5Cend%7Barray%7D%5Cright%5D%20%2B%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7Dx_2%26x_3%5C%5Cy_2%26y_3%5Cend%7Barray%7D%5Cright%5D%20%2B%20....%2B%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7Dx_n%26x%5C%5Cy_n%26y%5Cend%7Barray%7D%5Cright%5D%20%29)
So, we have:

Evaluate

Remove the absolute bracket

This gives

Hence, the area of the convex polygon is 43/2 square units
Read more about convex polygon at:
brainly.com/question/14522707
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Answer:
Step-by-step explanation:
yes
Comparing the functions, it is found that:
- The function Kimora's travel based on Jim's travel is of: D. g(x) = f(x) + 80.
- Lonnie's function based on Kimora is: B. h(x) = g(x - 2).
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Jim's equation is of:

Kimora's equation is of:

The -55x term is common to both functions, while the constant on g is 80 more than f, thus:

Which means that the answer to the first question is given by option D.
Lonnie started traveling two hours before Kimora's, using the same equation of motion, just with the input x reduced by 2, thus:

Which means that the answer to the second question is given by option B.
A similar problem is given at brainly.com/question/24759429