Answer:

» Collect like terms, r terms on the left hand side by subtracting r from both sides and adding st to both sides

» On the left hand side, factorise out r

The degree and direction of rotation that takes ΔQRS to ΔQ'R'S' is:
45 degrees; anticlockwise direction.
<h3>What is rotation in math?</h3>
The transformation by rotation refers to the movement of a shape or point in a circular path about a fixed point.
When the shape moves in an anticlockwise direction, it means that It is going in the opposite way as the hands of a clock do.
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The expression which represents the function required to be generated; (f +g)(x) as in the task content is; 13x -2.
<h3>What is the expression which represents the function required?</h3>
It follows from the function definitions in the task content that the functions given are;
f(x) = 4x +5
g(x) = 9x -7
Hence, the value of (f +g)(x) = f(x) + g(x) and ultimately;
= 4x +5 + 9x -7
= 13x -2
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Answer:if you looked at hem like they were rows, in the first row the third one would be an expression. In the second row, the second one would be an expression. This is becuase they both have an equal sign.