Transformation involves moving a shape away from its original position
- The transformation to move the cabinet to a new position is translation
- The transformation to place the chair directly across the couch is reflection
<em>The required diagrams to answer this question are missing; so, I will provide a general exam</em>
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<u>(a) Moving the cabinets</u>
The question says that the cabinets are moved away from their original position.
Since terms like <em>"rotation" or "reflection"</em> are not used, then the general transformation used for "moving" is translation.
Hence, the transformation is translation
<u>(b) Changing the position of the chairs</u>
The question says that the chairs would be placed directly across the couch.
The term "directly across" is used for reflection of a shape.
Hence, the transformation is reflection
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Answer:
x = 5/2; y = 7
Step-by-step explanation:
2x + y = 12
y = 2x + 2
Use substitution to replace y in the first equation with 2x + 2.
2x + 2x + 2 = 12
4x + 2 = 12
4x = 10
x = 10/4
x = 5/2
y = 2x + 2
y = 2(5/2) + 2 = 5 + 2
y = 7
Answer:
There are many points that are solutions to the equation, but one of which would be (1, 2)
Step-by-step explanation:
In order to tell if they are a solution, we use the values in the inequality and see if it results in a true statement.
y < -1/2x + 2
1 < -1/2(1) + 2
1 < -1/2 + 2
1 < 3/2 (This is a true statement)
Since it is a true statement, we know it is a solution.
Answer:
Step-by-step explanation:
I cant remember how to do it but one way would be to find the series expansion of this at x = ∞.