Answer:
The original coordinate of
R is (-5, -5)
The new coordinate of
R is (-11, -11)
The translation rule is ( x - 6, y - 6)
The original coordinate of
U is (-5, 1)
The new coordinate of
U is (-5 - 6, 1 - 6)
which is
(-11, -5)
U' = (-11, -5)
Answer: Yes, 2.125 is a rational number.
Step-by-step explanation:
The solution to the equation is (b) there is no solution.
<h3>How to solve the rational equation?</h3>
The equation is given as:
Factorize the quadratic numerator
Multiply through by (x - 1)(x - 2)
2x(x - 2) - (2x -5) = -3(x - 1)
Expand
2x² - 4x - 2x + 5 = -3x + 3
Collect like terms
2x² - 4x - 2x + 3x + 5 - 3 = 0
Evaluate the like terms
2x² - 3x + 2 = 0
Using a graphical tool, the above equation has no real solution
Hence, the solution is (b) there is no solution.
Read more about rational equations at:
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A symmetric matrix is a square matrix that is equal to its transpose.
<h3>Symmetric matrix</h3>
In order to understand what is meant by a symmetric matrix, we must first understand the following;
- A matrix is an arrangements of elements in rows and columns.
- A square matrix has equal number of rows and columns.
- The transpose of a matrix is a matrix obtained by interchanging rows and columns.
Hence, a symmetric matrix is a square matrix that is equal to its transpose.
Learn more about symmetric matrix: brainly.com/question/26184753