1. (2x + 3)(x + 1)
2. Prime
3. (4x - 1)(2x + 3)
4. Prime
5. (2x - 7)(x + 4)
<h3>
Answer: D. y = -x</h3>
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Explanation:
Point T is at (-2,1)
When we reflect it over the line x = 0, aka the y axis, we use the rule 
so T(-2,1) becomes T ' (2, 1). The x coordinate flipped in sign, while the y coordinate stays the same.
Then the final transformation is reflecting over y = -x using the rule 
. Therefore, the point (2,1) moves to (-1, -2) which is where T'' is located in the diagram.
You apply the same two transformations for the points R and S to get R'' and S'' respectively.
Note: A composition of two reflections, where the lines of reflection aren't parallel, form a rotation. In this case, we have a 90 degree counterclockwise rotation when going from triangle RST to triangle R''S''T''.
Answer:
Yes, indeed it is one of the most important examinations.
You have to separate the rectangle and the triangle, then find the area of each and add them up.
area of the triangle,
(12×5)÷2=60÷2=30m squared.
area of the rectangle,
12×2=24m squared.
now add them up,
30+24=54m squared.
answer=54m squared
hope this helps......
Doubling the lengths of the sides of a rectangle quadruple the area
<h3>How to determine the effect?</h3>
Let the dimension of the rectangle be L and W.
So, the area is
A = LW
When the lengths are doubled, we have:
A2 = 2L * 2W
This gives
A2 = 4LW
This means that the initial area is multiplied by 4
Hence, doubling the lengths of the sides of a rectangle quadruple the area
Read more about similar shapes at:
brainly.com/question/14285697
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