What does difference of squares mean? How can you recognize it when looking at an expression?

Answers

Answer 1
It is called a difference of squares because there are two things squared being subtracted. You can recognize it when there are two terms, subtraction between the two of them, and you know the square root of both
Answer 2
When an expression can be viewed as the difference of two perfect squares, i.e. a²-b², then we can factor it as (a+b)(a-b). For example, x²-25 can be factored as (x+5)(x-5). This method is based on the pattern (a+b)(a-b)=a²-b², which can be verified by expanding the parentheses in (a+b)(a-b).

Related Questions

help
In the Line Plot above, what number is the outlier in the data points?

Answers

the outlier of the data plot is 13

what is the answer to this question 600-9484

Answers

Hello~

The answer is

-8884

Brainliest please!

Ary~

[tex]\boxed{-8884}[/tex] ✅

Step-by-step explanation:

[tex]600 - 9484 \\ = - 8884[/tex]

[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘[/tex]

9x^6 + 35x(3/52.5)= 569

Answers

Answer:

x = 1.99359

Step-by-step explanation:

Answer: x  ≈  −  1.99825808  ,  1.99359054

Step-by-step explanation:

The diameter of a circle is 12 cm. Find the circumference to the nearest tenth

Answers

Answer:

Step-by-step explanation:

38 or 37.7 when not rounded

hope this helps

Tyler asks for a fish tank for his birthday. The task he wants is a rectangular prism 20 inches long, 10 inches wide, and 12 inches tall.

Answers

Answer:

2400 in^3

Step-by-step explanation:

Tyler asks for a fish tank for his birthday. The task he wants is a rectangular prism 20 inches long, 10 inches wide, and 12 inches tall. How much water will the fish tank hold?

the capacity of the tank can be determined by calculating the volume of the tank

volume of a prism = length x width x height

20 x 10 x 12 = 2400 in^3

please help im reallyyyy desperate
NO LINKS OR FILES

Answers

Answer:

(2, -3), (3, -3)

Step-by-step explanation:

y = x^2 - 5x + 3

y = -3

x^2 - 5x + 3 = -3

x^2 - 5x + 6 = 0

(x - 3)(x - 2) = 0

x - 3 = 0 or x - 2 = 0

x = 3 or x = 2

We are given y = -3.

Answer: (2, -3), (3, -3)

Answer:

(2, -3) , (3, -3)

Step-by-step explanation:

One is asked to find what values of the parameter (x) will yield the result (f(x)=-3) if the function (f(x)) is the following,

[tex]f(x)=x^2-5x+3[/tex]

Set this equation up, and solve to find the value of (x) that satisfies this requirement:

[tex]f(x)=x^2-5x+3=-3[/tex]

Inverse operations,

[tex]x^2-5x+6=0[/tex]

Factor, rewrite the quadratic equation as the product of two linear equations,

[tex](x-2)(x-3)=0[/tex]

Therefore the solutions are the following, the (x-coordinate) represents the input, and the (y-coordinate) represents the output.

(2, -3), (3, -3)

Find the Area of this shape, please.

Answers

Answer:

149cm^2

Step-by-step explanation:

big brain

Answer:

114cm²

Step-by-step explanation:

Okay, so you can split this thingy up into a rectangle and another rectangle, so that's what we're going to do (see pic below)

So now we take off that 7 from the 13:

13 - 7 = 6

So now we find the area of that little area:

6 x 5 = 30

Now we do the other rectangle:

12 x 7 = 84

Now we add them together:

84 + 30 = 114

So the area of the shape is 114cm²

hope this helps:)

will name brainliest

Answers

Answer:

a=12

Step-by-step explanation:

We must use SOH, CAH, TOA

SOH= Sin0=opp/hyp

CAH=Cos0=adj/hyp

TOA= Tan0=opp/adj

Since we have opposite and hypotenuse we use Sin ratio, in this case,

sin30°= [tex]\frac{a}{24}[/tex]

[tex]\frac{1}{2}[/tex]=[tex]\frac{a}{24}[/tex] we cross multiply

[tex]\frac{2a}{2}[/tex]=[tex]\frac{24}{2}[/tex]divide both sides by 2 to get a by itself

a=12

Answer:

a = 12

Step-by-step explanation:

To find a, we will use the trigonometric ratio of Sin, since the opposite side of the angle given needs to be found out and the hypotenuse is given;

Sin(30) = [tex]\frac{a}{24}[/tex]

Sin(30) * 24 = a

12 = a

Hope this helps!

Which function would best represent “each ink cartridge purchased for a printer costs $12”.
Linear
Exponential
Quadratic

Answers

the anwser is linear

I need help with this ASAP!!

Answers

9514 1404 393

Answer:

  (b)  g, h, f

Step-by-step explanation:

The larger the magnitude of the vertical scale factor, the quicker the graph takes on higher values. That makes its appearance narrower.

Here, you want to list the functions in decreasing order of vertical scale factor:

  g(x) . . . scale factor 4

  h(x) . . . scale factor 2

  f(x) . . . scale factor 1/3

Write the equation of a line that is parallel to y=−5/4x+7
and that passes through the point (-4,1)

Answers

Answer:

y=-5/4x-4.

Step-by-step explanation:

parallel lines have to have the same slope so they don't intersect each other

original equation with the same slope and rewrite it using point slope form:

y-y1=-5/4(x-x1) now Substitute the point(-4,1)

y-1=-5/4(x-(-4))

y-1=-5/4(x+4)

Now we can distribute the -5/4 and add 1 to the right to get our final slope-intercept form:

y-1=-5/4x-5

y=-5/4x-4.

The parallel line of y=-5/4x+7 that passes through point (-4,1) is y=-5/4x-4.

Answer: y=-5/4x-4.

Step-by-step explanation:

If x = 4, what is the value of 4x + 3?

Answers

Answer:

19

Step-by-step explanation:

4(4)+3=19

19 is your answerrrrr

In the United States, the maintenance and construction of airports, transit systems, and
major roads is largely funded through a federal excise tax on gasoline. Based on the 2011
statistics given below, how much did the average household pay per year in federal gasoline
taxes?
.
The federal gasoline tax rate was 18.4 cents per gallon.
• The average motor vehicle was driven approximately 11, 340 miles per year.
The national average fuel economy for noncommercial vehicles was 21.4 miles per
gallon.
The average American household owned 1.75 vehicles.
.
$55.73
$68.91
$97.52
$170.63

Answers

Answer:

Step-by-step explanation:

uy

According to the above we can establish that based on the given statistics, the average household paid approximately $97.52 per year in federal gasoline taxes.

How to calculate how much average household paid per year in federal gasoline taxes?

To calculate how much the average household paid per year in federal gasoline taxes, we can use the following steps:

Determine the total number of gallons of gasoline consumed by the average household per year:

Total gallons = (Total miles driven) / (Miles per gallon)Total gallons = 11,340 miles / 21.4 miles per gallonTotal gallons = 530 gallons (rounded to the nearest gallon)

Calculate the total amount paid in federal gasoline taxes per year:

Total taxes = (Total gallons) * (Tax rate per gallon)Total taxes = 530 gallons * $0.184 per gallonTotal taxes = $97.52

According to the above we can establish that based on the given statistics, the average household paid approximately $97.52 per year in federal gasoline taxes.

Learn more about taxes in: https://brainly.com/question/23347326
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I need the answer to x

Answers

Answer:

x = 14

Step-by-step explanation:

arc JL = 180° ( JL is a diameter ), then

arc KL = 180° - 31° = 149° , so

9x + 23 = 149 ( subtract 23 from both sides )

9x = 126 ( divide both sides by 9 )

x = 14

Answer:

X=14

Step-by-step explanation:

360-31-31=298

298/2=149

149-23=126

126/9=14

What is the area of the shaded section?

Answers

Answer:

270cm squared

area of shaded part rectangle is 180

are of triangle is 48 and 42 respectively you add the three to get 270

Express the following in the form a + bi, where a and b are real numbers:
[tex] \sqrt{60i - 11} [/tex]

Answers

The equivalent of the complex number expression is [tex]\sqrt{60i - 11}[/tex] is 2 + 15i

How to rewrite the expression?

The complex number expression is given as:

[tex]\sqrt{60i - 11}[/tex]

Rewrite as:

[tex]a + bi = \sqrt{60i - 11}[/tex]

Take the square of both sides

[tex]a^2 + 2abi - b = 60i - 11[/tex]

By comparison, we have:

a^2 - b = -11

2ab = 60

Divide both sides by 2

ab = 30

Using a graphical tool, we have:

a = 2,b = 15

So, we have:

a + bi = 2 + 15i

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Selection two: solving two step equations (7 of 10) 20-n=48

Answers

N= 28! 20-28=48 (also the same as 20+-28=48)
Please Mark BRAINLIEST!

hey lol pls help ;)
A) the angles are alternate exterior angles
B) the angles are interior angles
C) the angles are supplementary angles
D) the angles are vertical angles

Answers

The answer is A because it’s right

Round 75 to the nearest hundredth

Answers

Answer:

Hundredth? Hundredth is for decimals. If you meant to the nearest Hundred, then it's 100.

Step-by-step explanation:

If you actually meant hundredths though, then it would be 75, because 75 doesn't have any decimals

Bernice uses the equation C = 2h + 8 to find the total cost, C, in dollars, of renting a boat for h hours. If Bernice does not spend more than $32, what is the maximum number of hours she can rent the boat?
a 8
b 12
c 20
d 22​

Answers

Answer:

A

Step-by-step explanation:

Since she's not spending more than $32, the equation is 2h + 8 ≤ 32.

Isolate h to find the maximum number of hours she can rent the boat:

2h + 8 ≤ 32

First, subtract 8 from both sides.

2h ≤ 16

Then divide both sides by 2.

h ≤ 8

h, the number of hours, must be less than or equal to 8, so 8 is the maximum number of hours Bernice can rent the boat for.

Find the mean absolute deviation for the following data:
6, 7, 10, 12, 13, 4, 8, 12
(A) 5.50
(B) 4.50
(C) 3.75
(D) 2.75

Answers

The mean absolute deviation is D)

Find the sum of
1. (2x2 − x) + (x2 + 3x − 1)
2. 5x2+2x−1+(4x2−x+2)
3. (3x2+2x+1)+(x2−1)
4. −x2−1 +(4x2−x)

Answers

Answer:

Step-by-step explanation:

(2x^2-x)+(x^2+3x-1)

2x^2-x+x^2+3x-1

x^2+3x-1

5x^2+2x-1+(4x^2-x+2)

5x^2+2x-1+4x^2+x-2

9x^2+6x-3

(3x^2+2x+1)+(x^2-1)

3x^2+2x+1+x^2-1

4x^2+2x

-x^2-1+(4x^2-x)

-x^2-1+4x^2-x

3x^2-1-x


G = { liquid, solid, gases} what type
of set is G.
a) Empty set
b) Firite set
c) Infinite set
d) Undefined set​

Answers

Answer:

Step-by-step explanation:

I think it’s b…

Marking brainliest!!

Was the KKK prominent people ?

Answers

Well it depends on how you define prominent. Their actions made them notorious in history books and everyone feared them in the Jim Crow era. So yes, they were prominent but more notorious.
Agree with first answer not good ppl in the least but we’re indeed quite prominent I put the def below for u if it helps.

Prominent definition; important/famous

They were definitely important and famous, just not in the best light ya feel me?

Find the perimeter 5 1\2

Answers

Answer:

22

Step-by-step explanation:

please help asap!!!!!!!!

Answers

Answer:

Step-by-step explanation:

Just need a lil help kind of stucc .

Answers

Answer:

Scale Factor

Step-by-step explanation:

Sorry if im wrong. I just kinda tried :p

no files i’ll report your answer
50 point answer

In the diagram below, lines TK and I are
90
L
M
<
A. skew
B. parallel
C. perpendicular

Answers

Answer:

C. Perpendicular

Step-by-step explanation:

The lines are making 90° with each other.

JK ⊥ LM, the lines are perpendicular

Correct choice is C

Please help me with this problem.

Answers

I believe I’m correct but I think the answer is 45 simplified

Use the given values of n and p to find the minimum usual value μ − 2σ and the
maximum usual value μ + 2σ. Round your answer to the nearest hundredth unless
otherwise noted.
n = 261, p =1/5
Minimum: 65.12; maximum: 39.28
Minimum: 39.28; maximum: 65.12
Minimum: 45.74; maximum: 58.66
Minimum: 43.06; maximum: 61.34

Answers

After answering the question provided, we can predict that the result will be as by equation As a result, the correct response is: Minimum: 41.64; Maximum: 62.76.

What is equation?

A mathematical equation is a process that links two statements and indicates equality using the equals sign (=). A mathematical statement that proves the equality of two mathematical expressions is known as an equation in algebra. For instance, the equal sign separates the numbers 3x + 5 and 14 in the equation 3x + 5 = 14. A mathematical formula may be used to understand the link between the two sentences that are written on opposite sides of a letter. Frequently, the logo and the particular software are identical. like in 2x - 4 = 2, for example.

A binomial distribution with the specified values of n and p has a mean of = np and a standard deviation of = sqrt(np(1-p)).

Inputting n = 261 and p = 1/5 results in:

μ = np = 261 × 1/5 = 52.2

5.28 is equal to sqrt(np(1-p)) = sqrt(261 1/5 4/5)

Calculating the minimal typical value of 2 is as follows:

μ − 2σ = 52.2 − 2 × 5.28 ≈ 41.64

The calculation for the maximum typical value + 2 is as follows:

μ + 2σ = 52.2 + 2 × 5.28 ≈ 62.76

These values are rounded to the nearest hundredth, giving us:

The range is 41.64 to 62.76.

As a result, the correct response is: Minimum: 41.64; Maximum: 62.76.

To know more about equation visit:

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Answer:

Minimum: 39.28; maximum: 65.12

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