Answer:
This is a reflection about the x-axis.
Step-by-step explanation:
A reflection about the x-axis has the rule
[x,y]-> [x,-y].
Therefore
M[x,y] = [x,-y}
Let M=
|a b|
|c d|
Then the matrix multiplication gives
ax+by=x.............(1)
cx+dy=-y............(2)
Solving the previous equations (1) and (2) gives
a=1, b=0
c=0, d=-1
giving M as
|1 0|
|0 -1|
Answer:
Effective annual yield = 0.05094534 or 5.094%
Step-by-step explanation:
Given:
Rate of interest (r) = 5% = 0.05
Interest = compounded quarterly
Find:
Effective annual yield = Y
Computation:

Effective annual yield = 0.05094534 or 5.094%
The length of the diagonal is the hypotenuse of the fence
The length of the wood is
yards
<h3>How to determine the length of the wood?</h3>
The dimensions of the fence are:
7 ft by 7 ft
The length (L) of the diagonal is calculated using:

This gives

Express as products

Express as radical

Hence, the length of the wood is
yards
Read more about diagonals at:
brainly.com/question/10187910
Answer:
-2 - 8i
Step-by-step explanation:
To find the conjugate of a complex number, change the sign of the imaginary part.
The conjugate of -2 + 8i is -2 - 8i.