Question

1) B(4 1/3) C(-6 1/4) K(2 2/3) M-Середина Найти середину ВС и ВК 2)P(-15) E(2 1/2) R(?) Найти середину PR

Answer 1

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Answer 2

To find the midpoint of a line segment between two points, you can use the midpoint formula:

Midpoint = ((x1 + x2) / 2, (y1 + y2) / 2)

where (x1, y1) and (x2, y2) are the coordinates of the two points.

Let's calculate the midpoint for each case:

1. For the points B(4 1/3), C(-6 1/4), and K(2 2/3):

First, we need to convert the mixed fractions to improper fractions:

B(4 1/3) = B(13/3) C(-6 1/4) = C(-25/4) K(2 2/3) = K(8/3)

Now, let's find the midpoint of BC:

Midpoint_BC = ((x_B + x_C) / 2, (y_B + y_C) / 2) Midpoint_BC = ((13/3 + -25/4) / 2, (1/3 + 1/4) / 2) Midpoint_BC = ((52/12 - 75/12) / 2, (4/12 + 3/12) / 2) Midpoint_BC = ((-23/12) / 2, (7/12) / 2) Midpoint_BC = (-23/24, 7/24)

Now, let's find the midpoint of BK:

Midpoint_BK = ((x_B + x_K) / 2, (y_B + y_K) / 2) Midpoint_BK = ((13/3 + 8/3) / 2, (1/3 + 2/3) / 2) Midpoint_BK = ((21/3) / 2, (3/3) / 2) Midpoint_BK = (7/2, 3/2)

2. For the points P(-15), E(2 1/2), and R(?):

Since the coordinates of R are not provided, we can't find the midpoint PR without the missing information.

If you have the coordinates of point R, you can use the midpoint formula as described earlier to find the midpoint of PR.