QQuestionMathematics
QuestionMathematics
What is the midpoint of FB on the number line?
- 9 - 8 - 7 - 6 - 5 - 4 - 3 - 2 - 1 0 1 2 3 4 5 6 7 8 9
Options:
A. Point A
B. Point G
C. Point H
D. Point L
10 months agoReport content
Answer
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Step 1:Let me solve this systematically:
Step 2:: Identify the endpoints of line segment FB
- From the number line, I see F is at - 7 and B is at 1
Step 3:: Calculate the midpoint using the midpoint formula
- The midpoint formula is: $$\frac{x_1 + x_2}{2}
- Plugging in the coordinates: \frac{- 7 + 1}{2}
Step 4:: Solve the midpoint calculation
- $$\frac{-7 + 1}{2} = \frac{-6}{2}
- \frac{- 6}{2} = - 3
Step 5:: Locate the point on the number line
- The midpoint - 3 corresponds to Point H
Final Answer
The key steps were: 1. Identifying the endpoints (- 7 and 1) 2. Using the midpoint formula \frac{x_1 + x_2}{2} 3. Calculating \frac{- 7 + 1}{2} = - 3 4. Matching - 3 to Point H on the number line
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