We are suppose to find distance between points and the midpoint (9,8) and (2,1)
I used the distance formula which I thought was the way I should do it.
If I should not have used this, can someone tell me what I did wrong or what formula I should have used?
d=�ã(2-9)^2+(1-8)^2
d=�ã(-7)^2+(-7)^2
d=�ã98
d=7�ã2
(9+2/2, 8+1/2)
(11/2,9/2)
good
(If you are using a PC, try this:
hold down the Alt key while pressing 251 on the number pad, then release the Alt key)
The formula you used to calculate the distance between two points, known as the distance formula, is correct. However, it seems like there was some mistake in your calculations.
Let me walk you through the correct process of finding the distance between the points (9,8) and (2,1) and the midpoint of those points.
1. Finding the distance between two points:
The formula for finding the distance between two points (x1, y1) and (x2, y2) is:
d = √((x2 - x1)^2 + (y2 - y1)^2)
Using this formula, let's calculate the distance between (9,8) and (2,1):
d = √((2 - 9)^2 + (1 - 8)^2)
= √((-7)^2 + (-7)^2)
= √(49 + 49)
= √98
≈ 9.899
So, the correct distance between the points is approximately 9.899.
2. Finding the midpoint of two points:
The formula for finding the midpoint between two points (x1, y1) and (x2, y2) is:
Midpoint = ((x1 + x2)/2, (y1 + y2)/2)
Now let's calculate the midpoint of (9,8) and (2,1):
x-coordinate of midpoint = (9 + 2)/2
= 11/2
= 5.5
y-coordinate of midpoint = (8 + 1)/2
= 9/2
= 4.5
So, the correct midpoint of the two points is (5.5, 4.5).
In summary, the distance between the points (9,8) and (2,1) is approximately 9.899. The midpoint of these points is (5.5, 4.5).