The matrix R represents the reflection matrix for the provided vertices, and graph A represents the pre-image and the image on the same coordinate grid.
<h3>What is the matrix?</h3>
It is defined as the group of numerical data, functions, and complex numbers in a specific way such that the representation array looks like a square, rectangle shape.
We have vertices shown in the picture.
Form a matrix using the vertices:
![= \left[\begin{array}{ccc}-3&5&6\\7&3&-5\\\end{array}\right]](https://tex.z-dn.net/?f=%3D%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-3%265%266%5C%5C7%263%26-5%5C%5C%5Cend%7Barray%7D%5Cright%5D)
To reflect over the x-axis, multiply by the reflection matrix:
![= \left[\begin{array}{ccc}1&0\\0&-1\\\end{array}\right]\left[\begin{array}{ccc}-3&5&6\\7&3&-5\\\end{array}\right]](https://tex.z-dn.net/?f=%3D%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D1%260%5C%5C0%26-1%5C%5C%5Cend%7Barray%7D%5Cright%5D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-3%265%266%5C%5C7%263%26-5%5C%5C%5Cend%7Barray%7D%5Cright%5D)
![\rm R= \left[\begin{array}{ccc}-3&5&6\\-7&-3&5\\\end{array}\right]](https://tex.z-dn.net/?f=%5Crm%20R%3D%20%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-3%265%266%5C%5C-7%26-3%265%5C%5C%5Cend%7Barray%7D%5Cright%5D)
The above matrix represent the reflection matrix.
Thus, the matrices R represents the reflection matrix for the provided vertices, and graph A represents the pre-image and the image on the same coordinate grid.
Learn more about the matrix here:
brainly.com/question/9967572
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Answer:
The Answer is that one box of Oranges costs $7.13 and one box of Apples costs $12.99.
Step-by-step explanation:
Let o = oranges and a = apples
Equation 1:
3o + 14a = 203
Solve for o:
3o = 203 - 14a
o = 203/3 - 14/3a
o = 67.66 - 4.66a
Equation 2:
11o + 11a = 220
Substitute:
11(67.66 - 4.66a) + 11a = 220
744.26 - 51.26a + 11a = 220
-40.26a = 220 - 744.26
-40.36a = -524.26
a = -524.26/-40.36 = $12.99 for a box of Apples
Solve for oranges, o:
o = 67.66 - 4.66a
o = 67.66 - 4.66(12.99)
o = 67.66 - 60.53 = $7.13 for a box of Oranges
Hope this helps!! Have an Awesome day!!! :-)
Answer:
4.8ft
Step-by-step explanation:
Answer:
10/12 = 5/6
10/12 = 20/24
10/12 = (10*x)/(12*x) with x ≠ 0
Hello!
The goal of this to isolate the variable and solve for the given variable which is "t".
8t+3=27=2t
First you subtract three from both sides.
8t+3=27=2t
-3 -3
8t=24=2t
Next subtract 2t from both sides.
8t=24=2t
-2t -2t
6t = 24
now isolate the variable by dividing 6 on both sides
6t = 24
/6 /6
t = 4
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I hope this helps,
-Oceanbreeze24
