Which expression is equivalent to −2 + (−9)? 2 + (−9) −2 + 9 −2 − 9 2 − 9
1 answer:
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Answer:
A reflection about y=x
Step-by-step explanation:
The 4 transformations are
- Translation
- Rotation
- Reflection
- Dilation
Let eliminate which ones won't work.
A translation wouldn't flip the triangle in a different direction after translating it so we won't translate it.
A dilation changes the length for the triangle but the triangles are congruent so we won't dilate it.
A rotation about the orgin wouldn't work nor a specific point so a rotation isnt going to work.
A reflection will work so what will we reflect about.
- Some corresponding coordinates are
- 5,6 and 7,6
- 1,6 and 7,2
- 3,8 and 9,4.
A reflection makes a reflected point equidistant from the line of reflection and their original point is equidistant from line of reflection.
So let find the midpoint of all the points and find a line where all of them are on.
The midpoint respectively are
- 6,6
- 4,4
- 6,6
Let find the line that includes both these points.
So this means our slope is x. The y value corresponds with the x value so the answer is
So the answer is
"A reflection about y=x
For this case, the first thing we must do is define variables:
x: students of group 1
y: students of group 2
We now write the system of equations that models the problem:
Solving the system by substitution we have:
Then, the value of y is given by:
Answer:
8 students of group 1
20 students of group 2