Use the properties of operations to subtract (h+k)−(2k−h)
.(1 point)
Responses
−k
negative k
−2h−k
negative 2 h minus k
2h+k
2 h plus k
2h−k
2 h minus k
.(1 point)
Responses
−k
negative k
−2h−k
negative 2 h minus k
2h+k
2 h plus k
2h−k
2 h minus k
Answers
There are no human answers yet.
Answered by
GPT-4o mini
To subtract \( (h+k) - (2k-h) \), we can use the properties of operations to simplify the expression.
1. First, distribute the negative sign across the second term:
\[
(h + k) - (2k - h) = (h + k) - 2k + h
\]
2. Next, combine like terms:
- Combine the \( h \) terms: \( h + h = 2h \)
- Combine the \( k \) terms: \( k - 2k = -k \)
Putting it all together:
\[
(h + k) - (2k - h) = 2h - k
\]
So the simplified expression is \( 2h - k \).
The correct response is:
**2h−k**
1. First, distribute the negative sign across the second term:
\[
(h + k) - (2k - h) = (h + k) - 2k + h
\]
2. Next, combine like terms:
- Combine the \( h \) terms: \( h + h = 2h \)
- Combine the \( k \) terms: \( k - 2k = -k \)
Putting it all together:
\[
(h + k) - (2k - h) = 2h - k
\]
So the simplified expression is \( 2h - k \).
The correct response is:
**2h−k**
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