Find the length of the segment
¯¯¯¯¯¯¯¯
M
N
with endpoint M at
(
2
,
−
3
)
and endpoint N at (8, 5). Round your answer to the nearest tenth, if necessary.
sorry. the length is the usual distance formula
√((x2-x1)^2 + (y2-y1)^2)
Whats the answer for the rest of the quiz
To find the length of a segment with two endpoints in a coordinate plane, you can use the distance formula. The distance formula gives us the distance between two points (x1, y1) and (x2, y2) as follows:
d = sqrt((x2 - x1)^2 + (y2 - y1)^2)
Let's apply this formula to find the length of the segment MN with endpoint M at (2, -3) and endpoint N at (8, 5).
First, let's assign the values:
x1 = 2
y1 = -3
x2 = 8
y2 = 5
Now we substitute these values into the distance formula:
d = sqrt((8 - 2)^2 + (5 - (-3))^2)
= sqrt(6^2 + 8^2)
= sqrt(36 + 64)
= sqrt(100)
= 10
So the length of the segment MN is 10 units.
midpoint is (M+N)/2
so just take the average of the x- and y-coordinates.