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
yanalaym [24]
3 years ago
11

Which shows 552 − 452 being evaluated using the difference of squares method?

Mathematics
2 answers:
Ipatiy [6.2K]3 years ago
8 0
The correct answer for the question that is being presented above is this one: "552 − 452 = (55 + 45)(55 − 45) = (100)(10) = 1,000." The equation that shows 552 − 452 being evaluated using the difference of squares method is this <span>552 − 452 = (55 + 45)(55 − 45) = (100)(10) = 1,000</span>
Marat540 [252]3 years ago
7 0

Answer:  Third Option is correct.

Step-by-step explanation:

Since we have given that

55^2-45^2

We need to evaluate using the difference of squares method:

So, here,  a = 55

b = 45

so, it becomes,

a^2-b^2=(a+b)(a-b)\\\\55^2-45^2=(55-45)(55+45)\\\\55^2-45^2=10\times 100\\\\55^2-45^2=1000

Hence, Third Option is correct.

You might be interested in
6x-2y=24<br> how do u solve for y
Tatiana [17]
It's <span>Diophantine equation. 
First, we need to found gcd(6,(-2)):</span>
6=2*3
(-2)=(-1)*2

So, gcd(6,-2)=2
Now, the question is. Can we dived c=24, by gcd(6,-2) and in the end get integer?
Yes we can.
\frac{24}{2} =12
So, we can solve it.

Now is the formula:
{\displaystyle {\begin{cases}x=x_{0}+n{\frac {b}{\gcd(a,\;b)}}\\y=y_{0}-n{\frac {a}{\gcd(a,\;b)}}\end{cases}}\quad n\in \mathbb {Z} .}

Second, we need the first pair (x0,y0) 
 if
x=0
then
y=(-12)

Third, we gonna use that formula:
{\displaystyle {\begin{cases}x=-n}\\y=-3(4+n)}\end{case}\quad n\in \mathbb {Z} .}
Congratulations! We solve it.


8 0
3 years ago
Read 2 more answers
Which system of equations is consistent and dependent?
MAXImum [283]

Answer:

Step-by-step explanation:

4x − y = −11

2x + 3y = 5

lets multiply the second equation by -2 and add it to the first:

4x − y = −11

-4x - 6y = -10

------------------

0  - 7y = -21

y = -21/-7

y = 3

now we substitute this result in the first equation to find x:

4x − y = −11

4x - 3 = -11

4x = -8

x = -8/4

x = 2

so the solution is y = 3 and x =2

4x − 9y = −21

−10y = −30

we solve for y

−10y = −30

y = -30/-10

y = 3

and substitute in the first equation:

4x − 9y = −21

4x − 9(3) = −21

4x - 27 = -21

4x = 6

x = 6/4 = 3/2

so the solution is x = 3/2 and y = 3

4x + 3y = 5

2y = −6

we solve for y:

2y = −6

y = -6/2

y = -3

we do substitute in the first equation:

4x + 3y = 5

4x + 3(-3) = 5

4x - 9 = 5

4x = 14

x = 14/4

x = 7/2

so the solution is x = 7/2 and y = -3

7x − 3y = −11

9x = −6

we solve for x:

9x = −6

x = -6/9

x = -2/3

then we substitute in the first equation the result found:

7x − 3y = −11

7(-2/3) − 3y = −11

-14/3 - 3y = -11

we multiply by 3 to eliminate fractions:

-14 - 9y = -33

9y = 19

y = 19/9

so the solution is x = -2/3 and y = 19/9

12x − 3y = −33

14x = −28

we solve for x:

14x = −28

x = -28/14

x = -2

then we substitute in the first equation:

12x − 3y = −33

12(-2) − 3y = −33

-24 - 3y = -33

3y = 9

y = 3

then the solution is x = -2 and y = 3

3 0
3 years ago
Read 2 more answers
Find the measure of ∠2.<br><br> a. 32<br> b. 64<br> c. 116<br> d. 90
Studentka2010 [4]

Answer:

angle 2 =90 because it is a right angle

7 0
2 years ago
Read 2 more answers
What is one symbol that is in algebra
daser333 [38]
+,-,=,>,<, and many more, lol i gave more than one :P
7 0
3 years ago
Read 2 more answers
Direct Variation.<br>¯\_(ツ)_/¯
Alekssandra [29.7K]

Answer:

y = 1/6

Step-by-step explanation:

direct variation

y =kx

substitute in what we know to find k

1/2 = k*3

solve for k

divide by 3

1/2 /3 = k

1/6 = k

substitute k into the direct variation equation

y = 1/6 x

let x = 1

y = 1/6 *1

y = 1/6

5 0
3 years ago
Other questions:
  • What is the least common multiple of 4 and 16
    11·2 answers
  • Mo-Qui has studied Spanish for half an hour longer than he studied History.
    14·1 answer
  • How do you turn 1/2 to a decimal
    5·2 answers
  • A fruit basket contains 6 apples and 8 oranges. Sarah randomly selects one, puts it back, and then randomly selects another. Wha
    5·2 answers
  • Match the correct word with it's definition
    13·1 answer
  • I did the lines already how do i find the angles
    5·1 answer
  • Linear Equations w/ Distribution 4(2x+8)= 48
    6·1 answer
  • <img src="https://tex.z-dn.net/?f=4%5Csqrt%7B3%7D%2B%5Csqrt%7B3%7D" id="TexFormula1" title="4\sqrt{3}+\sqrt{3}" alt="4\sqrt{3}+\
    9·2 answers
  • The pay collected for working per hour is known as your hourly wage. It varies directly linearly with the hours that you work
    11·1 answer
  • Find the inverse matrix or type
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!