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:
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Answer:
3(x² + 1) + 2
Step-by-step explanation:
(f ○ g)(x) = f(g(x))
Substitute x = g(x) into f(x), that is
f(x² + 1) = 3(x² + 1) + 2 ← is the equivalent statement
Answer: Second option is correct.
Step-by-step explanation:
A company wants to try out two new toothpaste brands (brand A and brand B) on customers who use the company's existing toothpaste brand.
So, the best method for this study is an experiment.
As the company will try its two new brands who are already using their existing toothpaste brand.
They will get to know their like and dislike about their two new toothpaste brands.
Hence, Second option is correct.
Ok so nevermind i won't help
Answer:
(x+6), (y+9)
Step-by-step explanation:
The x coordinate of J goes from -7 to -1, so it is translated x+6
The y coordinate of j goes from -8 to 1, which is a difference of 9, so it's translated y + 9
