1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Nezavi [6.7K]
3 years ago
5

Points P and Q belong to segment AB . If AB = a, AP = 2PQ = 2QB, find the distance: midpoints between AP QB

Mathematics
1 answer:
Digiron [165]3 years ago
4 0

Answer: The distace between midpoints of AP and QB is \frac{a}{8}.

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 = \frac{AP}{2}

QB = \frac{AP}{2}

Substituing:

AP + 2*(\frac{AP}{2}) = a

2AP = a

AP = \frac{a}{2}

Since the distance is between midpoints of AP and QB:

2QB = AP

QB = \frac{AP}{2}

QB = \frac{a}{2}*\frac{1}{2}

QB = \frac{a}{4}

MIdpoint is the point that divides the segment in half, so:

<u>Midpoint of AP</u>:

\frac{AP}{2} = \frac{a}{2}*\frac{1}{2}

\frac{AP}{2} = \frac{a}{4}

<u>Midpoint of QB</u>:

\frac{QB}{2} = \frac{a}{4}*\frac{1}{2}

\frac{QB}{2} = \frac{a}{8}

The distance is:

d = \frac{a}{4} - \frac{a}{8}

d = \frac{a}{8}

You might be interested in
1. A study of college freshmen found that students who watched TV for more than one hour each night gained 15 pounds in the firs
umka21 [38]

Answer:

C.  They most likely used an observational study asking students to keep track of their TV habits and weight.

A.  This is an experiment because a treatment was applied to a group.

Step-by-step explanation:

According to our question:

1. The study concluded that there is a relation between watching TV and the weight gain in college freshmen.

Now, this is possible when a group of college students were asked to participate to watch TV for more than 1 hour for a specific amount of time and have a record of their weights.

So, the study is an observational study where the habits and weights of college students were observed.

Hence, option C is correct.

2. The students were divided onto two groups where one group used the computer program and the other did not to check the improvement in the reading levels.

This means that the students were given a procedure to follow during the study in order to see the results..

So, the study is an experiment where a treatment is applied to the group of students.

Hence, option A is correct.

8 0
3 years ago
Read 2 more answers
Answer to this please ?
stepan [7]

Answer:

(-a,b)

Step-by-step explanation:

You use midpoint formula which is (x1+x2/2),(y1+y2/2)

8 0
3 years ago
Write the order of operations down using your own words​
dybincka [34]

The order of operations is:

Parentheses, Exponent, Division, Multiplication, Addition, Subtraction.

Or PEMDAS.

hope it helps!

6 0
3 years ago
Please help me with this math problem
vfiekz [6]
The function is decreasing on the interval (- infinity, + infinity).
3 0
3 years ago
Which statement is true about the equation (see picture)
Alexus [3.1K]
Simplify
2/4z + 1 = 2/4z + 1
Answer: D. Infinite solutions
3 0
2 years ago
Read 2 more answers
Other questions:
  • Let p: x &lt; −3 Let q: x &gt; 3 What is represented by p ∨ q?
    10·2 answers
  • Please Help!! (brainliest fr best answer)
    10·1 answer
  • WILL GIVE BRAINLIEST! the sum of seven consecutive integers is zero. what is the value of the smallest integer?
    13·1 answer
  • A monthly contribution of $200 is deposited into an interest-bearing account.If the account has a 4.8% interest rate and compoun
    13·1 answer
  • The rectangular area measures 30 ft by 25ft. The fencing that will be used comes in 25 ft sections. How many sections will you n
    11·1 answer
  • Can someone give me the answers please
    14·1 answer
  • Hy my friend needs help with her math I say it’s pretty easy but it cuz I have my hw to do .. so can someone help her out ?!
    14·2 answers
  • Juan exercised 120 minutes this week. If this was 10 minutes more than 2 times the amount of time he exercised last week, how ma
    5·1 answer
  • A ladder is placed 5 feet away from a house. The ladder comes up to 12 feet on the side of the house. How long is the ladder? Pl
    8·2 answers
  • Which quadrant would each ordered pair be in?
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!