Answer:
The answer is: 1. 5 minutes and 2. 133.3 meters
Step-by-step explanation:
To find how long it takes the cyclist to travel 2km at 24km / hour, set up the equation and cross multiply:
2 / 24 = x / 1
24x = 2
x = 2/24 = 1/12 of an hour or 60 / 12 = 5 Minutes.
To find how far he travels in 20 seconds:
Multiply 24 km by 1000 to get meters per hour. Divide by 3600 to get meters per second:
24000 / 3600 = 6.6 meters per second.
Multiply by 20 seconds to get the distance traveled in 20 seconds:
6.6 * 20 = 133.3
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:
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Selection A is appropriate.
Adjacent sides are neither perpendicular nor the same length, but the figure is a parallelogram.
Answer: 137π
The usual formula for a circle centered at (a,b), with radius r,
(x - a)² + (y - b)² = r²
The area of the circle is πr², so 137π