Question
W)) Which diagram represents the equation \( 2=c-4 \) ?
Ask by Chandler Wilson. in the United States
Jan 20,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
The diagram should show a number line with a single point at 6 labeled as \( c \).
Solution
To determine which diagram represents the equation \( 2 = c - 4 \), let's first solve for the variable \( c \):
\[
2 = c - 4
\]
Add 4 to both sides to isolate \( c \):
\[
2 + 4 = c
\]
\[
c = 6
\]
**Interpreting the Equation:**
The equation \( c = 6 \) means that the value of \( c \) is fixed at 6.
**Possible Diagram Representations:**
1. **Number Line:**
- A number line with a single point marked at 6 labeled as \( c \).
2. **Coordinate Plane:**
- If \( c \) is considered as a constant, you might see a vertical line crossing the \( c \)-axis at 6.
3. **Balance Scale:**
- A balance scale where one side has the number 2 and the other side has \( c - 4 \). The scale balances when \( c = 6 \).
**Conclusion:**
The most straightforward diagram is a **number line with a single point at 6 labeled \( c \)**, visually representing the solution \( c = 6 \).
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If you have specific diagrams to choose from, please provide them, and I can help identify the correct one based on the solution \( c = 6 \).
Reviewed and approved by the UpStudy tutoring team
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Explain 
Simplify this solution Mind Expander
To solve the equation \( 2 = c - 4 \), you can rearrange it to find the value of \( c \). By adding 4 to both sides, you get \( c = 6 \). To represent this on a graph, you would plot a horizontal line at \( c = 6 \) on the vertical axis (y-axis). This indicates that regardless of the value on the horizontal axis (x-axis), the value of \( c \) will always be 6. When considering multiple diagrams, look for one that showcases a horizontal line intersecting the y-axis at 6. In cases where diagrams represent equations visually, check for any labels or descriptions that might clarify which line corresponds to your equation. Happy graphing!
