I was assiged to a 20question assigment and Im having troubles with the following question:
"Find the coordinates of the midpoint of a segment having the endpoints
C(4,1) and D(-3,7).
Then find the distance between the endpoints
PLEASE HELP!!!
Its due on monday!!!
the midpoint will be halfway from one end to the other.
Both x and y will be the average of the end values. So, the midpoint
M = ((4 + -3)/2 , (1+7)/2 ) = (1/2,4)
To find the coordinates of the midpoint of a segment, you need to find the average of the x-coordinates and the average of the y-coordinates of the two endpoints. Let's break it down step by step:
Step 1: Identify the coordinates of the endpoints.
In this case, the endpoints are C(4,1) and D(-3,7).
Step 2: Find the average of the x-coordinates.
To find the average of the x-coordinates, add the x-coordinates of the endpoints and divide the sum by 2.
(4 + (-3)) / 2 = 1 / 2 = 0.5
Step 3: Find the average of the y-coordinates.
To find the average of the y-coordinates, add the y-coordinates of the endpoints and divide the sum by 2.
(1 + 7) / 2 = 8 / 2 = 4
Step 4: Write down the coordinates of the midpoint.
The coordinates of the midpoint are (0.5, 4).
Now, let's find the distance between the endpoints. To do this, we use the distance formula:
d = sqrt((x2 - x1)^2 + (y2 - y1)^2)
Let's calculate this step by step:
Step 1: Identify the coordinates of the endpoints.
In this case, the endpoints are C(4,1) and D(-3,7).
Step 2: Apply the distance formula.
d = sqrt((-3 - 4)^2 + (7 - 1)^2)
= sqrt((-7)^2 + (6)^2)
= sqrt(49 + 36)
= sqrt(85)
So, the distance between the endpoints C(4,1) and D(-3,7) is sqrt(85).
I hope this helps you complete your assignment. Good luck!