(a)
Find the midpoint of a segment with endpoints at 9.3 and 2.1
(a)
Answer to Problem 50PPE
5.7
Explanation of Solution
Given :
A segment on a number line has endpoints with coordinates a and b .The coordinate of the segments’s midpoint m is given by the formula
Calculation:
Given :
a = 9.3 and b = 2.1
Substitute the values in the formula and find the midpoint :
So, the midpoint is 5.7
(b)
Rewrite the given formula to find b in terms of a and m .
(b)
Answer to Problem 50PPE
Explanation of Solution
Given :
A segment on a number line has endpoints with coordinates a and b .The coordinate of the segments’s midpoint m is given by the formula
Calculation:
Given :
Solve for b in terms of a and m :
(c)
Find other endpoint.
(c)
Answer to Problem 50PPE
-1.9
Explanation of Solution
Given :
The midpoint of a segment is at 3.5.One endpoint is at 8.9.
Calculation:
From part (b) ,
Given:
m = 3.5
a = 8.9
Substitue the values in the equation and solve for b :
So, the other point is -1.9
Chapter 2 Solutions
High School Math 2011 Algebra 1(prentice Hall) Student Edition
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