The midpoint of uv is (5 -11). the coordinates of one endpoint are u(3 5) find the coordinates of endpoint v. I really need help asap! i have to put this in today..
Please and thank you!
(3, 5) (5, -11) (x, y)
5 -3 = 2
so the x value should be 2 more than the midpoint (2,y)
-11-5 = -16 difference so we need a difference of -16 from the -11
(2,-27)
who ever reported john.. u should be ashamedddddddddd
Thank you so much!
To find the coordinates of endpoint V, we can use the midpoint formula. The midpoint formula states that the coordinates of the midpoint between two points (x₁, y₁) and (x₂, y₂) can be found by taking the average of the x-coordinates and the average of the y-coordinates.
Let's use this formula to find the value of endpoint V:
Midpoint formula:
(x₁ + x₂)/2 = 5
(y₁ + y₂)/2 = -11
Given:
(x₁, y₁) = (3, 5)
(x₂, y₂) = (x, y) [coordinates of endpoint V]
Let's substitute the known values:
(3 + x)/2 = 5
(5 + y)/2 = -11
To find the value of x, we can solve the first equation 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 find the value of y using the second equation:
(5 + y)/2 = -11
Multiply both sides of the equation by 2:
5 + y = -22
Subtract 5 from both sides:
y = -27
Hence, the coordinates of endpoint V are (7, -27).