SOLUTION: Solve for the following items: a. The point on the x-axis that is equidistant (equal distance) from (12,6) and (8,2). b. The distance between the points (6,4) and (18,4). c. The

Algebra ->  Linear-equations -> SOLUTION: Solve for the following items: a. The point on the x-axis that is equidistant (equal distance) from (12,6) and (8,2). b. The distance between the points (6,4) and (18,4). c. The      Log On


   



Question 176278: Solve for the following items:
a. The point on the x-axis that is equidistant (equal distance) from (12,6) and (8,2).
b. The distance between the points (6,4) and (18,4).
c. The distance between the points (1,4) and (19,6).
d. The midpoint between (12, 6) and (18, 4)
e. The midpoint between (-6, -8) and (23, 5)

Answer by EMStelley(208) About Me  (Show Source):
You can put this solution on YOUR website!
For part a) you are looking for the midpoint. The midpoint between (a,b) and (c,d) is ((a+c)/2, (b+d)/2). So the midpoint between (12,6) and (8,2) is
((12+8)/2, (6+2)/2)=(20/2, 8/2) = (10, 4).
I will do b) also then you should be able to do the rest:
The distance between (a,b) and (c,d) is
sqrt%28%28c-a%29%5E2%2B%28d-b%29%5E2%29
So the distance between (6,4) and (18,4) is
sqrt%28%2818-6%29%5E2%2B%284-4%29%5E2%29=sqrt%28144%2B0%29=sqrt%28144%29=12