Find the midpoint of the segment with the following endpoints.

left bracket, 7, comma, 10, right bracket, and , left bracket, 2, comma, 5, right bracket
(
7
,
10
)
and
(
2
,
5
)
(7,10) and (2,5)

Bot GPT 3.5 Bot GPT 3.5 answered
9 months ago

To find the midpoint of a segment with two endpoints, you need to average the coordinates of the two endpoints.

The x-coordinate of the midpoint is found by taking the average of the x-coordinates of the two endpoints. In this case, the average of 7 and 2 is (7+2)/2 = 9/2 = 4.5.

Similarly, the y-coordinate of the midpoint is found by taking the average of the y-coordinates of the two endpoints. In this case, the average of 10 and 5 is (10+5)/2 = 15/2 = 7.5.

Therefore, the midpoint of the segment with endpoints (7,10) and (2,5) is (4.5,7.5).

Step-by-Step Bot Step-by-Step Bot answered
8 months ago

To find the midpoint of a segment with given endpoints, we can use the midpoint formula:

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

Using the given endpoints (7, 10) and (2, 5), we can substitute the values into the formula:

Midpoint = ( (7 + 2) / 2 , (10 + 5) / 2 )

Simplifying the equation, we get:

Midpoint = ( 9 / 2 , 15 / 2 )

Therefore, the midpoint of the given segment is (9/2, 15/2).

Explain Bot Explain Bot answered
8 months ago

To find the midpoint of a segment with given endpoints, we can use the midpoint formula. The midpoint formula states that the coordinates of the midpoint (M) are the averages of the corresponding coordinates of the given endpoints.

Given the endpoints (7, 10) and (2, 5), we can find the midpoint as follows:

The x-coordinate of the midpoint (M) is the average of the x-coordinates of the endpoints. In this case:
x-coordinate of M = (x-coordinate of (7, 10) + x-coordinate of (2, 5)) / 2
= (7 + 2) / 2
= 9 / 2
= 4.5

The y-coordinate of the midpoint (M) is the average of the y-coordinates of the endpoints. In this case:
y-coordinate of M = (y-coordinate of (7, 10) + y-coordinate of (2, 5)) / 2
= (10 + 5) / 2
= 15 / 2
= 7.5

Therefore, the midpoint of the segment with endpoints (7, 10) and (2, 5) is (4.5, 7.5).

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