The given point is (-4, -6)
First reflected point is (-4, 6).
Note that the x coordinate is same and y coordinate has opposite sign. Above x-axis, y is positive and below x-axis y is negative. This shows that the reflection was across x-axis which resulted in the change of sign of y coordinate.
Second reflected point is (-6, -4)
Notice that in comparison to the original point, the location of x and y coordinate has been interchanged. This can only happen when the reflection is across the line y = x. The reflection of a graph across y = x also results in the inverse of that graph, with x values and y values interchanging their positions.
So,
1st Answer: Reflection across x-axis
2nd Answer: Reflection across the line y = x
AX = b or ![\left[\begin{array}{cc}1&1\\0.1&0.05\end{array}\right] \left[\begin{array}{c}x\\y\end{array}\right] = \left[\begin{array}{c}15\\1.10\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D1%261%5C%5C0.1%260.05%5Cend%7Barray%7D%5Cright%5D%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bc%7Dx%5C%5Cy%5Cend%7Barray%7D%5Cright%5D%20%20%3D%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bc%7D15%5C%5C1.10%5Cend%7Barray%7D%5Cright%5D)
<h3>
The above matrix can be used to determine the number of dimes x and nickels y.</h3>
Step-by-step explanation:
Here, total number of coins = 15
Let us assume the number of dimes = x
Also, let us assume the number of nickels = y
So, x + y = 15 .... (1)
Again, 1 dime = $0.1
So, x dimes = x ($0.1) = $ (0.1 x)
1 nickel = $0.05
So, y nickels = y ($0.05) = $ (0.05 y)
Also, total value of coins = $1.10
⇒ 0.1 x + 0.05 y = 1.10 .... (2)
So, from (1) and (2) the matrix can be written as:
AX = b or
The above matrix can be used to determine the number of dimes x and nickels y.
Answer:
5x4^10
Step-by-step explanation:
Hope this helps have a nice day :)
13 times 3 equals 39. So 13 and 3 are the two numbers.
