Find the area of all the sides and then divide each area by two. add them all up to get your answer.
Answer:
![V = \left[\begin{array}{ccc}5&-1\end{array}\right]](https://tex.z-dn.net/?f=V%20%3D%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D5%26-1%5Cend%7Barray%7D%5Cright%5D)
Step-by-step explanation:
We want to reflect this 2x1 vector on the line y = x.
To make this reflection we must use the following matrix:
![R=\left[\begin{array}{cc}0&1\\1&0\\\end{array}\right]](https://tex.z-dn.net/?f=R%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D0%261%5C%5C1%260%5C%5C%5Cend%7Barray%7D%5Cright%5D)
Where R is known as the reflection matrix on the line x = y
Now perform the product of the vector <-1,5> x R.
![\left[\begin{array}{ccc}-1\\5\end{array}\right]x\left[\begin{array}{ccc}0&1\\1&0\end{array}\right]\\\\\\\left[\begin{array}{ccc}-1(0) +5(1)&-1(1)+5(0)\end{array}\right]\\\\\\\left[\begin{array}{ccc}5&-1\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-1%5C%5C5%5Cend%7Barray%7D%5Cright%5Dx%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D0%261%5C%5C1%260%5Cend%7Barray%7D%5Cright%5D%5C%5C%5C%5C%5C%5C%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-1%280%29%20%2B5%281%29%26-1%281%29%2B5%280%29%5Cend%7Barray%7D%5Cright%5D%5C%5C%5C%5C%5C%5C%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D5%26-1%5Cend%7Barray%7D%5Cright%5D)
The vector matrix that represents the reflection of the vector <-1,5> across the line x = y is:
![V = \left[\begin{array}{ccc}5&-1\end{array}\right]](https://tex.z-dn.net/?f=V%20%3D%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D5%26-1%5Cend%7Barray%7D%5Cright%5D)
Answer:
x = 20
Step-by-step explanation:
Since the triangles are similar then the ratios of corresponding sides are equal, that is
=
( cross- multiply )
9x = 180 ( divide both sides by 9 )
x = 20
Answer:
1. 11t
2.7w+28
3. 2c+11
4. 8n
5. 10r+15
6. 24−8g
7. 17d−9
8. 8g+7z
9. 23b
10. 2rs+1
11. 9f+9g
12. 4x+y
13. 21a+14
14. 21a+14
15. 6−3k
16. 18n+36
17. 9s+3t
18. 8a−12b
19. 11m+n
20. 2+6z
21. 8x+6y
22. 7hg−7
23. 4st+5
24. 2r+17
25. 7w+6
26. 3(c+2)
27. 8f−4g
28. 2+8q+3r
Step-by-step explanation:
there you go, sorry it took so long
Combine the terms. Note that: one positive and one negative sign results in a negative sign.
Simplify: 5 + (-4) = 5 - 4 = 1
1 + (-7) = 1 - 7 = -6
-6 + 2 = -4
-4 is your answer
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