Between the points (8,-6) and (-8, 6) find
A.) The distance (simplified radical form use sqrt(n).
B.) The midpoint ( use ( , ) and .5 for 1/2.
Separate answer with commas. Distance, midpoint
A. D^2 = (-8-8)^2 + (6-(-6)^2 = 400
D = 20.
B. Xo = 0.5(x1+x2) = 0.5(8-8) = 0.
Yo = 0.5(-6+6) = 0.
M(0,0).
yo= 27
To find the distance between two points, you can use the distance formula:
Distance = √((x2 - x1)^2 + (y2 - y1)^2)
Let's assign the coordinates as follows:
Point 1: (x1, y1) = (8, -6)
Point 2: (x2, y2) = (-8, 6)
A.) Distance:
Using the distance formula, we have:
Distance = √((-8 - 8)^2 + (6 - (-6))^2)
= √((-16)^2 + (12)^2)
= √(256 + 144)
= √400
= 20
Therefore, the distance between the two points is 20.
B.) Midpoint:
The midpoint of two points can be found by taking the average of their x-coordinates and the average of their y-coordinates.
Midpoint_x = (x1 + x2) / 2
Midpoint_y = (y1 + y2) / 2
Using the given coordinates, we have:
Midpoint_x = (8 + (-8)) / 2
= 0 / 2
= 0
Midpoint_y = (-6 + 6) / 2
= 0 / 2
= 0
Therefore, the midpoint of the two points is (0, 0).
In summary, the answers are:
A.) Distance: 20
B.) Midpoint: (0, 0)