The endpoints of line segment MN are M (-3,-9) and N (4,8). What is the approximate length of line segment MN??
We can make use of the distance formula between two points P1(x1,y1), P2(x2,y2), where
D = √((x2-x1)²+(y2-y1)²)
Here M(-3,-9) and N(4,8)
so distance
D = √((4-(-3))²+(8-(-9))²)
= √((7)²+(17)²)
= √(49+289)
= √(338)
= 18.38 approx.
I CANT'NT RELLY GET WHAT WHAT I'M LOOKING FOR ABOUT LINE SEGEMENT MN,
To find the length of line segment MN, we can use the distance formula. The formula to find the distance between two points (x1, y1) and (x2, y2) is:
d = sqrt((x2 - x1)^2 + (y2 - y1)^2)
Let's substitute the values of M (-3, -9) and N (4, 8) into the formula:
d = sqrt((4 - (-3))^2 + (8 - (-9))^2)
= sqrt((4 + 3)^2 + (8 + 9)^2)
= sqrt(7^2 + 17^2)
= sqrt(49 + 289)
= sqrt(338)
Therefore, the approximate length of line segment MN is sqrt(338).
To find the length of a line segment, we can use the distance formula which is derived from the Pythagorean theorem. The formula to find the distance between two points (x1, y1) and (x2, y2) in a coordinate plane is as follows:
Distance = sqrt((x2 - x1)^2 + (y2 - y1)^2)
Let's apply this formula to find the length of line segment MN:
M (-3, -9)
N (4, 8)
Plugging the values into the formula:
Distance = sqrt((4 - (-3))^2 + (8 - (-9))^2)
Distance = sqrt((4 + 3)^2 + (8 + 9)^2)
Distance = sqrt(7^2 + 17^2)
Distance = sqrt(49 + 289)
Distance = sqrt(338)
Now, we can approximate the answer:
Distance ≈ sqrt(338)
Distance ≈ 18.36
Therefore, the approximate length of line segment MN is 18.36 units.