SOLUTION: A pair of points is given. (a) plot the points in a coordiunate plane. (b) find the distance between them. (c) find the midpoint of the segment joins them. (5,0), (0,6)

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: A pair of points is given. (a) plot the points in a coordiunate plane. (b) find the distance between them. (c) find the midpoint of the segment joins them. (5,0), (0,6)      Log On


   

Question 45439: A pair of points is given.
(a) plot the points in a coordiunate plane.
(b) find the distance between them.
(c) find the midpoint of the segment joins them.
(5,0), (0,6)
Answer by tutorcecilia(2152) About Me  (Show Source):
You can put this solution on YOUR website!
A pair of points is given.
(a) plot the points in a coordiunate plane
+graph%28+300%2C+200%2C+-6%2C+10%2C+-10%2C+15%2C+-1.2x%2B6%29+
.
(b) find the distance between them.
distance+%28d%29+=+sqrt%28+%28x1-x2%29%5E2+%2B+%28y1-y2%29%5E2%29+
distance+%28d%29+=+sqrt%28+%285-0%29%5E2+%2B+%280-6%29%5E2%29+
distance+%28d%29+=+sqrt%28+%285%29%5E2+%2B+%28-6%29%5E2%29+
distance+%28d%29+=+sqrt%28+%2825%29+%2B+%2836%29%29+
distance+%28d%29+=+sqrt%28+%2861%29%29+
d = 7.81
.
.
(c) find the midpoint of the segment joins them.
Midpoint = [ (x1+x2)/2, (y1+y2)/2 ]
Midpoint = [ (5+0)/2, (0+6)/2 ]
Midpoint = [ 5/2, 6/2 ]
Midpoint = (2.5, 3)