In this problem m is the midpoint of the line segment joinin

In this problem, m is the midpoint of the line segment joining a (the left endpoint) and b (the right endpoint). Use the given conditions to find the indicated quantities.

m = 13, d(a, m) = 5; a and b

Solution

Distance between a and the midpoint, m is 5

Now, midpoint, m = 13

So, from 13 go left by 5 to get a

a = 13 - 5

a = 8

Now, d(a , m) = 5... So too d(m , b) = 5 because m is the midpoint.

So to get b, the right endpoint, go 5 units rightward from m

m is 13

So, 5 units right right of m is : 13 + 5 = 18

So, our answers :

a = 8

b = 18