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
Serhud [2]
2 years ago
14

Segment AB has length "a" and is divided by points P and Q into AP, PQ, and QB, such that AP = 2PQ = 2QB.

Mathematics
1 answer:
maw [93]2 years ago
5 0

Answer:

a) 7a/8; b) 5a/8  

Step-by-step explanation:

Given:

AP = 2PQ = 2QB

Calculations:

1. A to the midpoint of QB

        a = AP + PQ + QB

If 2PQ = 2QB.

    PQ = QB and

    AP = 2PQ

∴      a = 2PQ + 2PQ = 4PQ

    PQ = a/4

    AP = 2PQ = a/2

Let M be the midpoint of QB.

AM = AP + PQ + QM

     = a/2 + a/4 + a/8

     = 7a/8

2. Midpoints of AP and QB

Let N be the midpoint of AP

NM = NP + PQ + QM

      = a/4 +a/4 + a/8 =

      = 5a/8

 

You might be interested in
Can you teach me how to do these?? plzaa
Nitella [24]
If we are simplifying, ⅜ ab³a⁴ is
⅜a^5b³. when multiplying like bases you add exponents

second is xy²/2. when dividing like bases you subtract exponents
8 0
3 years ago
Read 2 more answers
6+16k factored using the GCF
ICE Princess25 [194]
2 is the GCF 3+8k

Hope this answer helps you
8 0
2 years ago
Read 2 more answers
Q ,# 13 Graph the function<br>Y = - X + X ^2
GalinKa [24]
We have the following function that is a quadratic function:

y=-x+x^2

So the graph of this function is shown in the figure below. This is a <em>parabola</em> as you can see. The roots of this functions, that is, the x-intercepts are:

y=-x+x^2 \\ y=x(x-1) \\ \\ x_{1}=0 \ and \ x_{2}=1

As you can see in the figure. This function decreases from (-\infty,0.5) and increases from (0.5, \infty)

Finally, another thing we can see from the graph is that the vertex is the point:

V(0.5,-0.25)


4 0
3 years ago
Read 2 more answers
What is the result of isolating y2 in the equation below?
lyudmila [28]
STEP-BY-STEP SOLUTION:

( x + 4 )^2 + y^2 = 22

x^2 + 2 × x × 4 + 4^2 + y^2 = 22

x^2 + 8x + 16 + y^2 = 22

y^2 = 22 - x^2 - 8x - 16

y^2 = - x^2 - 8x + 6

FINAL ANSWER:

Therefore, the answer is:

D. y^2 = - x^2 - 8x + 6

Please mark as brainliest if you found this helpful! :)
Thank you <3
6 0
3 years ago
The principal amount, $4200, earns 3.6% interest compounded monthly.
svlad2 [7]

Answer:

a)

A\:=\:P\left(1\:+\:\frac{r}{n}\right)^{nt}

b)

The total amount accrued, principal plus interest,  from compound interest on an original principal of  $ 4,200.00 at a rate of 3.6% per year  compounded 12 times per year  over 10 years is $5667.28.

Step-by-step explanation:

a. Write the function that represents the value of the account at any time, t.

The function that represents the value of the account at any time, t

A\:=\:P\left(1\:+\:\frac{r}{n}\right)^{nt}

where

P represents the principal amount

r represents Annual Rate

n represents the number of compounding periods per unit t, at the end of each period

t represents the time Involve

b) What will the value be after 10 years?

Given

The principal amount  P = $4200

Annual Rate r = 3.6% = 3.6/100 = 0.036

Compounded monthly = n = 12

Time Period = t

To Determine:

The total amount A = ?

Using the formula

A\:=\:P\left(1\:+\:\frac{r}{n}\right)^{nt}

substituting the values

A\:=\:4200\left(1\:+\:\frac{0.003}{12}\right)^{\left(12\right)\left(10\right)}

\:A\:=\:4200\left(1.0025\right)^{120}

A=5667.28 $

Therefore, the total amount accrued, principal plus interest,  from compound interest on an original principal of  $ 4,200.00 at a rate of 3.6% per year  compounded 12 times per year  over 10 years is $5667.28.

6 0
2 years ago
Other questions:
  • Can you use the law of syllogism and why?
    14·1 answer
  • Write 560% as a decimal and as a mixed number
    6·1 answer
  • Plz help and thank you!
    6·1 answer
  • What is the domain of (cd)(x)?
    10·1 answer
  • Which is equivalent?
    10·2 answers
  • What two number multiply to -16 and add up to -6
    8·1 answer
  • A cone and a cylinder have the same radius and height. The volume of the cone is 100π (pi) cubic feet. What is the volume of the
    6·1 answer
  • Which triangle cannot be used to find the slope of the line?
    14·1 answer
  • Please help me i cant do this question
    11·1 answer
  • I need an answer , i've put the pic down
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!