Question
The original ordered pair is (8,2) and the transformation ordered pair is (2,2) identify the value of k
Answers
Answer
Wrong
Answer
4 is the answer
Answered by
GPT-4o mini
To identify the value of \( k \) in the transformation from the original ordered pair \((8, 2)\) to the transformed pair \((2, 2)\), we can analyze the change in the x-coordinate, as the y-coordinate remains the same.
The transformation appears to involve scaling the x-coordinate. The original x-coordinate is \( 8 \) and the transformed x-coordinate is \( 2 \).
To find the scaling factor \( k \), we can use the following relationship:
\[
\text{Transformed x} = k \times \text{Original x}
\]
Substituting the known values:
\[
2 = k \times 8
\]
To solve for \( k \), divide both sides by \( 8 \):
\[
k = \frac{2}{8} = \frac{1}{4}
\]
Thus, the value of \( k \) is \( \frac{1}{4} \).
The transformation appears to involve scaling the x-coordinate. The original x-coordinate is \( 8 \) and the transformed x-coordinate is \( 2 \).
To find the scaling factor \( k \), we can use the following relationship:
\[
\text{Transformed x} = k \times \text{Original x}
\]
Substituting the known values:
\[
2 = k \times 8
\]
To solve for \( k \), divide both sides by \( 8 \):
\[
k = \frac{2}{8} = \frac{1}{4}
\]
Thus, the value of \( k \) is \( \frac{1}{4} \).
Answered by
GPT-4o mini
Let's re-evaluate the transformation from the ordered pair \((8, 2)\) to the ordered pair \((2, 2)\).
We see that the change in the x-coordinate suggests that a transformation may be involved, possibly involving scaling or translation.
1. **Original Ordered Pair:** \((8, 2)\)
2. **Transformed Ordered Pair:** \((2, 2)\)
Since the y-coordinate does not change (it remains 2), we can focus solely on the change of the x-coordinate.
### Analyzing the Transformation:
- Original x-coordinate: \(8\)
- Transformed x-coordinate: \(2\)
Now, we can express how the x-coordinate was transformed:
\[
\text{Transformed } x = k \cdot \text{Original } x
\]
Based on the values:
\[
2 = k \cdot 8
\]
To solve for \( k \):
\[
k = \frac{2}{8} = \frac{1}{4}
\]
This matches our previous calculation. However, if there was another specific transformation you had in mind, please clarify so I can provide the correct interpretation! If, on the other hand, you meant a different type of transformation like translation or reflection, please provide additional context.
We see that the change in the x-coordinate suggests that a transformation may be involved, possibly involving scaling or translation.
1. **Original Ordered Pair:** \((8, 2)\)
2. **Transformed Ordered Pair:** \((2, 2)\)
Since the y-coordinate does not change (it remains 2), we can focus solely on the change of the x-coordinate.
### Analyzing the Transformation:
- Original x-coordinate: \(8\)
- Transformed x-coordinate: \(2\)
Now, we can express how the x-coordinate was transformed:
\[
\text{Transformed } x = k \cdot \text{Original } x
\]
Based on the values:
\[
2 = k \cdot 8
\]
To solve for \( k \):
\[
k = \frac{2}{8} = \frac{1}{4}
\]
This matches our previous calculation. However, if there was another specific transformation you had in mind, please clarify so I can provide the correct interpretation! If, on the other hand, you meant a different type of transformation like translation or reflection, please provide additional context.
Answered by
GPT-4o mini
My apologies for any confusion earlier. Let's reassess the transformation from the point \((8, 2)\) to \((2, 2)\) with the assumption that the x-coordinate transformation is simply being derived from a difference instead of scaling.
### Given Points:
- Original Point: \((8, 2)\)
- Transformed Point: \((2, 2)\)
### Analyzing the x-coordinate:
To go from \(8\) to \(2\), we observe the difference:
1. **Change in x-coordinate**:
\[
8 - 6 = 2
\]
This indicates that the x-coordinate has decreased by \(6\).
If we assume \(k\) involves this difference in some manner, we could assert that:
\[
8 - k = 2
\]
To solve for \(k\):
\[
k = 8 - 2 = 6
\]
However, if \( k \) itself relates to a different scaling factor not previously considered, could you clarify how you're arriving at \(4\)? For example, if you meant something like an average scale factor over two dimensions or a specific operation different than what I've processed, I'm here to help clarify!
If we take the approach that you mentioned that the answer is \(4\), perhaps you are considering a different method of transformation. Thank you for your patience, and please guide me further on the nature of \(k\) as you understand it!
### Given Points:
- Original Point: \((8, 2)\)
- Transformed Point: \((2, 2)\)
### Analyzing the x-coordinate:
To go from \(8\) to \(2\), we observe the difference:
1. **Change in x-coordinate**:
\[
8 - 6 = 2
\]
This indicates that the x-coordinate has decreased by \(6\).
If we assume \(k\) involves this difference in some manner, we could assert that:
\[
8 - k = 2
\]
To solve for \(k\):
\[
k = 8 - 2 = 6
\]
However, if \( k \) itself relates to a different scaling factor not previously considered, could you clarify how you're arriving at \(4\)? For example, if you meant something like an average scale factor over two dimensions or a specific operation different than what I've processed, I'm here to help clarify!
If we take the approach that you mentioned that the answer is \(4\), perhaps you are considering a different method of transformation. Thank you for your patience, and please guide me further on the nature of \(k\) as you understand it!
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