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
elena-s [515]
3 years ago
14

Find the square. (1/4A + 1/4B)^2 a) 1/16A^2 + 1/8AB + 1/16B^2 b) 1/4A^2 + 1/8AB + 1/4B^2

Mathematics
2 answers:
alisha [4.7K]3 years ago
6 0

(a + b)^2 = a^2 + 2ab + b^2

(\dfrac{1}{4}A + \dfrac{1}{4}B)^2 =

= \dfrac{1}{16}A^2 + \dfrac{1}{8}AB + \dfrac{1}{16}B^2

Answer: A.

Another way to solve by factoring 1/4.

(\dfrac{1}{4}A + \dfrac{1}{4}B)^2 =

= [\dfrac{1}{4}(A + B)]^2

= (\dfrac{1}{4})^2(A + B)^2

= \dfrac{1}{16}(A^2 + 2AB + B^2)

= \dfrac{1}{16}A^2 + \dfrac{1}{16}2AB + \dfrac{1}{16}B)^2

= \dfrac{1}{16}A^2 + \dfrac{1}{8}AB + \dfrac{1}{16}B)^2

BabaBlast [244]3 years ago
6 0

\frac{1}{16} A² + \frac{1}{8} AB + \frac{1}{16} B²

(\frac{1}{4} A + \frac{1}{4} B )²

= (\frac{1}{4} A + \frac{1}{4} B )(\frac{1}{4} A + \frac{1}{4} B )

expand the factors using FOIL

= (\frac{1}{4} A )² + (2 × \frac{1}{16} AB + (\frac{1}{4} B )²

= \frac{1}{16} A² + \frac{1}{8} AB + \frac{1}{16} B²


You might be interested in
A fence is 10 ft wide by 10 ft long. If posts are placed 2 feet apart how many posts are needed?
yuradex [85]

20

There are 10 feet of posts on each side. That means there are 40 feet of fencing in total. If you divide that by two (to represent posts being 2 feet apart) then you get 20. There are 20 posts needed.

6 0
3 years ago
Using the equation shown below calculate the q value of vertex?<br><br> y= 2x2square +4x -9
Ugo [173]

Answer:

The vertex is (-1,-11).

Step-by-step explanation:

I don't know what the q value of this is, but I found the vertex for you.

I hope that this helps!

6 0
3 years ago
Ron is slicing 5 pizzas each pizza slice is 1/8 of the pizza. How many pizza slices will be there in all
Goryan [66]

Answer:

there would be 40 slices of pizza

Step-by-step explanation:

If 5 pizzas each have 8 slices you multiply 5 X 8 which equals 40 slices

3 0
3 years ago
Read 2 more answers
A minimum-phase continuous-time system has all its poles and zeros in the left-half s-plane. If a minimum-phase continuous-time
vlabodo [156]

Answer:

Yes, a minimum phase continuous time system is also minimum phase when converted into discrete time system using bilinear transformation.

Step-by-step explanation:

Bilinear Transform:

In digital signal processing, the bilinear transform is used to convert continuous time system into discrete time system representation.

Minimum-Phase:

We know that a system is considered to be minimum phase if the zeros are situated in the left half of the s-plane in continuous time system. In the same way, a system is minimum phase when its zeros are inside the unit circle of z-plane in discrete time system.

The bilinear transform is used to map the left half of the s-plane to the interior of the unit circle in the z-plane preserving the stability and minimum phase property of the system. Therefore, a minimum phase continuous time system is also minimum phase when converted into discrete time system using bilinear transformation.

8 0
3 years ago
Read 2 more answers
A rectangle has 3 square feet and width 1/2 foot. What is the length of the rectangle
Yakvenalex [24]

Answer:

We Know, Area = Length * Width

Here, A = 3

W = 1/2

Substitute it into the expression,

3 = L * 1/2

L = 3/ 1/2

L = 3/2 ft²

So, the length of the rectangle would be 3/2 ft²

<u>Hope this helps! :)</u>

<u></u>

8 0
3 years ago
Other questions:
  • What is the distance between the points (5, 6) and (5, 2)? a. 1 b. 3 c. 4 d. 8
    9·1 answer
  • Which ratio is equivalent to 4/7 greater terms? A 7/10 <br> B 2 1/12 <br> C 12/20 <br> D 7/4
    15·1 answer
  • 10. Linda Stevens was recently promoted from Accounts Payable Clerk to Accounting Specialist. Previously, she earned $10.50 per
    14·1 answer
  • X = b - cd, solve for c
    14·1 answer
  • Write the fraction<br> in simplest form.<br> 42/49
    9·1 answer
  • Heeeeelppp please, :) please
    7·1 answer
  • PLEASE ANSWER ASAP FOR BRAINLEST!!!!!!!!!!!!!!!!!!!!!!!!
    6·2 answers
  • Hey!!! PLS Help <br> If ∠6 = 68°, find the measures of angles 4, 5, 7.
    8·1 answer
  • 3) Jacob has 4 granola bars. He cuts them into pieces that are 1/3 of a bar each. After he cuts the 4 bars, how many pieces does
    10·1 answer
  • Find thr value of a and b
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!