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
lbvjy [14]
3 years ago
6

Which expressions are differences of squares? Select each correct answer

Mathematics
2 answers:
garri49 [273]3 years ago
4 0
For this ones the second value is always negative so A is not correct. Also they have to have an exact square root which 50 doesn't. So the answers are B and C
(a-6)(a+6)
(w-11)(w+11)
murzikaleks [220]3 years ago
4 0

Answer:

Option B, C and D are correct.

a^2-36, w^2-121 and n^2-50

Step-by-step explanation:

For any real number a and b:

Difference of square is given by:

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

We have to find Which expressions are differences of squares.

Option A :

x^2+25

⇒x^2+5^2

This cannot be written as a difference of square.

Option B:

a^2-36

⇒a^2-6^2

⇒(a-6)(a+6)

Option C:

w^2-121

⇒w^2-11^2

⇒(w-11)(w+11)

Option D:

n^2-50

⇒n^2-(\sqrt{50})^2

⇒(n-\sqrt{50})(n+\sqrt{50})

Therefore, the expressions which are are differences of squares are:

a^2-36, w^2-121 and n^2-50

You might be interested in
What is the volume of a 3-foot-tall cylindrical trash can with a 1-foot radius?
Snowcat [4.5K]

Answer:

The volume of the cylinder in feet is

V= 9.43ft³

Step-by-step explanation:

Step one

The formula for the volume of a cylinder is given as

V=πr²h

Where r= radius

h= height

Step two

Given Data

Radius = 1foot

Height = 3 feet

Substituting in our formula we have

V=3.142*1²*3

V= 9.43ft³

6 0
3 years ago
Solve the differential equation by variation of parameters.<br><br> y''+y=secx
suter [353]

Answer:y=

Acosx+Bsinx +cosx ln(cosx)+x sinx

Step-by-step explanation:

given  equation y''+y=secx

auxiliary  equation

p^2+1=0\\p=\pm i

so CF is y=Acosx+Bsinx

now

y_1(x)=cosx \ \ \ \ y_2(x)=sinx\\{y_1}'(x)=-sinx \ \ \ \ {y_2}'(x)=cosx

using wronskian formula

W=\begin{vmatrix}cosx &sinx \\ -sinx & cosx\end{vmatrix}

          =cos^2x+sin^2x=1

now f(x)=secx

u=-\int \frac{f(x)y_2(x)}{W(x)}dx \ and \ v=\int \frac{f(x)y_1(x)}{W(x)}dx

u=-\int \frac{secx\times sinx}{1}dx \ and \ v=\int \frac{secx\times cosx}{1}dx

u=-\int tanx dx \ and \ v=\int {1}dx

u=ln(cosx) \ \ \ and \ \ v=x

now particular integrals are

PI=cosx ln(cosx)+x sinx

total solution

y= C.F+P.I

y=Acosx+Bsinx +cosx ln(cosx)+x sinx

8 0
3 years ago
Explain how to write 5/3 as a product
andriy [413]
You can make 5 into a fraction, 5/1, meaning there are 5 whole numbers, or simply just 5. You can use the unit fraction 1/3 to represent the 3 being the denominator.
When you mulitply fractions, you multiply straight across.
\frac{5}{1} *  \frac{1}{3} =  \frac{5}{3}
3 0
3 years ago
Find the measure of each side indicated. Round to the nearest tenth.
choli [55]

Answer:

I'm say d last choice is yours answer

7 0
3 years ago
How to determine if set of vectors is linearly independent?
zimovet [89]
The vectors \{v_1,v_2,...,v_p\}\in \mathbb{R}^n are linearly independent if the ONLY solution to the following equation:

c_1v_1+c_2v_2+...c_pv_p=0

is c_1=c_2=...=c_p=0
7 0
3 years ago
Other questions:
  • What is the length?<br> The length of the pendulum is feet.<br> (Whole question above)⬆️
    15·1 answer
  • Simplifying algebraic expressions -5 (3n+6)
    15·1 answer
  • Solve for n<br> 4n + 12=36
    5·1 answer
  • How many solutions can be found for the linear equation?
    7·1 answer
  • If we want to fit 1000 people in our auditorium and have 25 seats in a row, how many rows do we need?
    15·2 answers
  • PLEASE ANSWER ASAPPP
    15·1 answer
  • Math, people help pls! &lt;3<br> DO NUMBERS 2-11 AND THEN JUST #14
    12·1 answer
  • Can someone help me with this and show me how to do it?
    7·1 answer
  • Use the Distributive Property to expand (−2x−7)4
    12·1 answer
  • Can you please solve the last question… number 3! Thanks!
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!