pleases help..
the midpoint of uv is (5 -11) the concordance of one endpoint are u(3,5) find the coordinates of endpoint v
the midpoint has coordinates (x,y) that are the average of the endpoints. So,
(3+x)/2 = 5
(5+y)/2 = -11
Or, you can reason that 5 2 larger than 3, so the x-coordinate of v will be another 2 larger. Same for y.
To find the coordinates of endpoint V, we can use the formula for the midpoint of a line segment. The formula for the midpoint is:
Midpoint = ((x1 + x2) / 2, (y1 + y2) / 2)
Given that the midpoint of UV is (5, -11) and one endpoint is U(3, 5), we can substitute the values into the formula to solve for the coordinates of point V.
Using the formula, we can set up the equation:
(5, -11) = ((3 + x2) / 2, (5 + y2) / 2)
Let's solve for x2 and y2 separately:
For x-coordinate:
5 = (3 + x2) / 2
Multiply both sides of the equation by 2:
10 = 3 + x2
Subtract 3 from both sides:
x2 = 7
For y-coordinate:
-11 = (5 + y2) / 2
Multiply both sides of the equation by 2:
-22 = 5 + y2
Subtract 5 from both sides:
y2 = -27
Therefore, the coordinates of endpoint V are V(7, -27).