Solve for k by simplifying both sides of the equation, then isolating the variable.
k= 14/5
Answer: The distace between midpoints of AP and QB is
.
Step-by-step explanation: Points P and Q are between points A and B and the segment AB measures a, then:
AP + PQ + QB = a
According to the question, AP = 2 PQ = 2QB, so:
PQ =
QB = 
Substituing:
AP + 2*(
) = a
2AP = a
AP = 
Since the distance is between midpoints of AP and QB:
2QB = AP
QB = 
QB = 
QB = 
MIdpoint is the point that divides the segment in half, so:
<u>Midpoint of AP</u>:


<u>Midpoint of QB</u>:


The distance is:
d = 
d = 
Answer:
5x + 3
Step-by-step explanation:
1) Collect like terms.
(2x − x + 3x + x) + (5 − 2)
2) Simplify
5 x + 3