Answer:
= 8g + 12h + 14
Step-by-step explanation:
2( 4g+6h+7)
= 8g + 12h + 14
13/36 would be the answer I believe
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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Given:
Total amount of Mingfa and her sister = $130
If Mingfa amount increased by $10, then the new amount is equal to three times of as much money as her sister.
To find:
How much money does Mingfa actually have?
Solution:
Let, Mingfa have $x and her sister has $y initially. Then,
...(i)
If Mingfa amount increased by $10, then the new amount is equal to three times of as much money as her sister.
...(ii)
Substitute the value of x from (ii) in (i).
Divide both sides by 4.
Putting
in (i), we get



Therefore, Mingfa have $95.