Midpoint of segment UV is 5 + -11 the coordinates of one endpoint are you three and five find the coordinates of endpoint V
wow, use language much? As I strain mightily to make sense of what you wrote, I get
The midpoint of UV is (5,-11), and the coordinates of U are (3,5).
well, since the midpoint M is halfway from U to V, and that distance is (2,-16), add those values to M to get all the way from U to V:
V is at (5,-11) + (2,-16) = (7,-27)
To find the coordinates of endpoint V, we need to use the midpoint formula.
The midpoint formula states that the coordinates of the midpoint between two points (x₁, y₁) and (x₂, y₂) is given by the following:
Midpoint = ((x₁ + x₂)/2, (y₁ + y₂)/2)
In this case, the midpoint is given as (5, -11). One endpoint has coordinates (3, 5), so let's call the coordinates of endpoint V as (x, y).
Using the midpoint formula, we can set up the following equation:
((3 + x)/2, (5 + y)/2) = (5, -11)
Now, we can solve for x and y. We can start by solving for x:
(3 + x)/2 = 5
Multiply both sides of the equation by 2:
3 + x = 10
Subtract 3 from both sides:
x = 7
Now, let's solve for y:
(5 + y)/2 = -11
Multiply both sides of the equation by 2:
5 + y = -22
Subtract 5 from both sides:
y = -27
Therefore, the coordinates of endpoint V are (7, -27).
To find the coordinates of endpoint V, we need to use the midpoint formula. The midpoint formula states that the coordinates of the midpoint of a line segment with endpoints (x1, y1) and (x2, y2) is [(x1 + x2) / 2, (y1 + y2) / 2].
Given that the midpoint of segment UV is (5, -11), and one endpoint is (3, 5), let's solve for the coordinates of endpoint V.
Let the coordinates of endpoint V be (x, y). Applying the midpoint formula, we have:
[(3 + x) / 2, (5 + y) / 2] = (5, -11)
Now, let's solve for x and y separately:
(3 + x) / 2 = 5 --> 3 + x = 10 --> x = 10 - 3 --> x = 7
(5 + y) / 2 = -11 --> 5 + y = -22 --> y = -22 - 5 --> y = -27
Therefore, the coordinates of endpoint V are (7, -27).