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
Stolb23 [73]
3 years ago
11

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

.

Mathematics
2 answers:
amid [387]3 years ago
4 0

Answer:

\frac{a}{8}

Step-by-step explanation:

AB = a

AP = 2PQ = 2QB

AB = AP + PQ + QB

     = AP + \frac{AP}{2} + \frac{AP}{2}

AB = 2AP

AP = \frac{a}{2} -----(1)

And we know QB = \frac{AP}{2}

QB= AP/2 = \frac{a}{4} ---------(2)

Now midpoint of AP = \frac{a}{2} × \frac{1}{2} = \frac{a}{4}

and midpoint of QB = \frac{a}{4} × \frac{1}{2} = \frac{a}{8}

distance between these midpoints = \frac{a}{4} - \frac{a}{8}

= \frac{a}{8}

g100num [7]3 years ago
4 0

Answer:

(7/8)a

Step-by-step explanation:

First of all, the "question" (without a question mark) says "AB = a, AP = 2PQ = 2QB".

Segment AB is <em>a, </em>which is the total length of the segment with Points P and Q on/in it.

Since 2PG=2QB, it means that PG=QB.

In addition to this, AP=2PG and we can't simplify any constants, so we know that PG=QB and AP is double PG or double QB.

These are the only segments included in AB, so that means if we divide all the segments so that midpoints are included, we have (1/8)a for each part.

Since the question is telling us to find the distance between the midpoints of segments AP and QB, we have (8/8)a-(1/8)a, which is (7/8)a.

So, (7/8)a is the answer.

Hope this helped, and if it did, make sure to thank me please!! :)

- izellegz on instagram

You might be interested in
6a+(8b+2a)=6a+(2a+8b)=0 <br><br>please help me solve this
solniwko [45]
<span>Simplifying (6a + -8b)(6a + 8b) = 0 Multiply (6a + -8b) * (6a + 8b) (6a * (6a + 8b) + -8b * (6a + 8b)) = 0 ((6a * 6a + 8b * 6a) + -8b * (6a + 8b)) = 0 Reorder the terms: ((48ab + 36a2) + -8b * (6a + 8b)) = 0 ((48ab + 36a2) + -8b * (6a + 8b)) = 0 (48ab + 36a2 + (6a * -8b + 8b * -8b)) = 0 (48ab + 36a2 + (-48ab + -64b2)) = 0 Reorder the terms: (48ab + -48ab + 36a2 + -64b2) = 0 Combine like terms: 48ab + -48ab = 0 (0 + 36a2 + -64b2) = 0 (36a2 + -64b2) = 0 Solving 36a2 + -64b2 = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '64b2' to each side of the equation. 36a2 + -64b2 + 64b2 = 0 + 64b2 Combine like terms: -64b2 + 64b2 = 0 36a2 + 0 = 0 + 64b2 36a2 = 0 + 64b2 Remove the zero: 36a2 = 64b2 Divide each side by '36'. a2 = 1.777777778b2 Simplifying a2 = 1.777777778b2 Take the square root of each side: a = {-1.333333333b, 1.333333333b}</span>
4 0
2 years ago
The value of the expression 4 square root of 81^3 is ______.
Paladinen [302]

Answer:

If its written as the fourth root of (81^3) the answer is 27.

6 0
3 years ago
Read 2 more answers
What does the phrase between 7.2 and 7.6 inclusive mean
Naddik [55]
It means that if u subtract idk lol
6 0
3 years ago
-27 - x = -51<br> ................
Katarina [22]

Answer:

24

Step-by-step explanation:

-27 - x = -51

+27     +27

-x = -24

x = 24

6 0
3 years ago
A researcher is investigating variables that might be associated with the academic performance of high school students. She exam
zloy xaker [14]

Answer:

Check the explanation

Step-by-step explanation:

Kindly check the attached images below to see the step by step explanation to the question above.

5 0
3 years ago
Other questions:
  • twice the sum of a number and 2 is equal to three times the difference of the number and 3. Find the number
    13·1 answer
  • How many cubic (i.e., third-degree) polynomials $f(x)$ are there such that $f(x)$ has positive integer coefficients and $f(1)=9$
    12·1 answer
  • Write the following term as a cube.<br> 27y^6<br> ​(Type your answer using exponential​ notation.)
    5·1 answer
  • Does 4 time 9.99 give me 39.96?
    5·2 answers
  • you invest $750 in a savings account that pays 1.5% annual interest.Write a recursive and a explicit formula to represent to sit
    10·1 answer
  • Three students scheduled interviews for summer employment at the Brookwood Institute. In each case the interview results in eith
    14·1 answer
  • The bottom of Ignacio's desktop is 74.5\,\text{cm}74.5cm74, point, 5, start text, c, m, end text from the floor. Ignacio sits in
    10·1 answer
  • You flip a fair coin.
    12·1 answer
  • NO LINKS!! SOMEONE PLS HELP ME :( NOBODY DOESNT WANT TO HELP ME I POSTED THIS SO MANY TIMES AND NO ANSWER PLSSS HELP ME The slop
    10·2 answers
  • How do you solve A=πr² for r?
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!