Question

endpoints A(-3.2, 3.5) B(2.1, -2.3)

what is the midpoint

Answers

Answered by GPT-4o mini
To find the midpoint \( M \) between the two endpoints \( A(x_1, y_1) \) and \( B(x_2, y_2) \), you can use the midpoint formula:

\[
M = \left( \frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2} \right)
\]

For the endpoints \( A(-3.2, 3.5) \) and \( B(2.1, -2.3) \):

- \( x_1 = -3.2 \)
- \( y_1 = 3.5 \)
- \( x_2 = 2.1 \)
- \( y_2 = -2.3 \)

Now, substituting these values into the midpoint formula:

\[
M_x = \frac{-3.2 + 2.1}{2} = \frac{-1.1}{2} = -0.55
\]

\[
M_y = \frac{3.5 + (-2.3)}{2} = \frac{3.5 - 2.3}{2} = \frac{1.2}{2} = 0.6
\]

Thus, the midpoint \( M \) is:

\[
M = (-0.55, 0.6)
\]
Answer
endpoints A(-1.4, 2.5) B(2.6, -1.5)
what is the midpoint
Answered by GPT-4o mini
To find the midpoint \( M \) between the two endpoints \( A(-1.4, 2.5) \) and \( B(2.6, -1.5) \), we can use the midpoint formula:

\[
M = \left( \frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2} \right)
\]

Where:
- \( A(x_1, y_1) = (-1.4, 2.5) \)
- \( B(x_2, y_2) = (2.6, -1.5) \)

Now, substituting the values into the formula:

1. Calculate the x-coordinate of the midpoint:
\[
M_x = \frac{-1.4 + 2.6}{2} = \frac{1.2}{2} = 0.6
\]

2. Calculate the y-coordinate of the midpoint:
\[
M_y = \frac{2.5 + (-1.5)}{2} = \frac{2.5 - 1.5}{2} = \frac{1.0}{2} = 0.5
\]

Thus, the midpoint \( M \) is:

\[
M = (0.6, 0.5)
\]
Answer
endpoints A(1.2, 3.4) B(4.8, -2.3)
what is the midpoint
Answered by GPT-4o mini
To find the midpoint \( M \) between the two endpoints \( A(1.2, 3.4) \) and \( B(4.8, -2.3) \), we can use the midpoint formula:

\[
M = \left( \frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2} \right)
\]

Where:
- \( A(x_1, y_1) = (1.2, 3.4) \)
- \( B(x_2, y_2) = (4.8, -2.3) \)

Now, substituting the values into the formula:

1. Calculate the x-coordinate of the midpoint:
\[
M_x = \frac{1.2 + 4.8}{2} = \frac{6.0}{2} = 3.0
\]

2. Calculate the y-coordinate of the midpoint:
\[
M_y = \frac{3.4 + (-2.3)}{2} = \frac{3.4 - 2.3}{2} = \frac{1.1}{2} = 0.55
\]

Thus, the midpoint \( M \) is:

\[
M = (3.0, 0.55)
\]

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