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Can someone please answer and provide an explanation for these problems?

Can someone please answer and provide an explanation for these problems?-example-1
User Diwakar
by
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1 Answer

5 votes

Answer:

50) Midpoint: (5.5, 0)

51) Midpoint: (6, -8)

Explanation:

We can find the midpoint between two points using the midpoint formula, which is m = (x1 + x2) / 2, (y1 + y2) / 2, where

  • m is the midpoint,
  • (x1, y1) are one point,
  • and (x2, y2) are another point

50) We can allow (10, 10) to be our (x1, y1) point and (1, -10) to be our (x2, y2) point:

x-coordinate of midpoint of (10, 10) and (1, -10):

(10 + 1) / 2

11 / 2

5.5

y-coordinate of midpoint of (10, 10) and (1, -10):

(10 + (-10)) / 2

(10 - 10) / 2

0 / 2

0

Thus, the midpoint of the line segment with the endpoints (10, 10) and (-1, 10) is (5.5, 0).

51) We can allow (3, -6) to be our (x1, y1) point and (9, -10) to be our (x2, y2) point:

x-coordinate of midpoint of (3, -6) and (9, -10):

(3 + 9) / 2

12 / 2

6

y-coordinate of midpoint of (3, -6) and (9, -10):

(-6 + -10) / 2

(-16) / 2

-8

Thus, the midpoint of the line segment with the endpoints (3, -6) and (9, -10) is (6, -8).

User Steven Holtzen
by
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