The total area of the the picture and frame is given by the equation A = (16 + 2x)(24 + 2x) = 384 + 32x + 48x + 4x^2 = 4x^2 + 80x^2 + 384
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:
Option b) and c) are correct
Step-by-step explanation:
Given expression is 5s - 11b + 3s - 12b
5s - 11b + 3s - 12b=8s-23b (Rearranging the right hand side terms)
5s - 11b + 3s - 12b =-23b+8s
Option c) is correct
By the definition of equivalent the given expression is the sum of the two terms ( the terms may vary or equal)
From the definition of equivalent we get, Option b) is also correct
Therefore Option b) and c) are correct
40 is the height of the boy and the inch is C
Answer:
Matthew drank 4 more glasses of water than Nicole: equation
Four more glasses of water than Nicole: expression
Step-by-step explanation:
We can model "Matthew drank 4 more glasses of water than Nicole" as an equation as follows:

However, "Four more glasses of water than Nicole" is only an expression. It doesn't include an equality.