Can someone please factor this for me?
4x^2-12x+9 and give a step-by-step explanation? I really don't understand how to do this.

Answers

Answer 1

Answer:

[tex]\left(2x-3\right)^2[/tex]

Step-by-step explanation:

[tex]4x^2-12x+9[/tex]

[tex]\mathrm{Rewrite\:in\:the\:form\:of}\:a^2+2ab+b^2:[/tex]

[tex]4x^2=(2x)^2[/tex]

[tex]9=3^2[/tex]

[tex]-12x=-2\cdot 2x\cdot 3[/tex]

[tex]=\left(2x\right)^2-2\cdot \:2x\cdot \:3+3^2[/tex]

[tex]\mathrm{Apply\:Perfect\:Square\:Formula}:\quad \:a^2-2ab+b^2=\left(a-b\right)^2[/tex]

[tex]\left(2x\right)^2-2\cdot \:2x\cdot \:3+3^2=\left(2x-3\right)^2[/tex]

[tex]=\left(2x-3\right)^2[/tex]

~Learn with Lenvy~

Answer 2

[tex]\\ \rm\Rrightarrow 4x^2-12x+9[/tex]

[tex]\\ \rm\Rrightarrow (2x)^2-2(2x)(3)+3^2[/tex]

So

(a-b)²=a²-2ab+b²

[tex]\\ \rm\Rrightarrow (2x-3)^2[/tex]

[tex]\\ \rm\Rrightarrow (2x-3)(2x-3)[/tex]


Related Questions

12 divided by 276 long division

Answers

Answer: Divide 276 by 12

276 divided by 12 is 23

Solution for 276 divided by 12

✍️See below how to solve this division manually.

276 divided by 12 - Long Division Solution

The solution below uses the "Long Division With Remainders Method". It is one of two existing methods of doing long division.

Start by setting the divisor 12 on the left side and the dividend 276 on the right:

   23 ⇐ Quotient

  ―――

12)276 ⇐ Dividend

  24

  --

   36

   36

   --

      ⇐ Remainder

276 divided by 12 is an exact division because the remainder is zero.

Step-by-step explanation: Hope this helps

how do i estimate 13.5/5=?

Answers

Answer:

3

Step-by-step explanation:

Round to nearest 5 - 15

Divide 15 by 5 - 3

Answer:

5% of 13.5 is 0.675

Step-by-step explanation:

We need to determine 5% of 13.5 now and the procedure explaining it as suchStep 1: In the given case Output Value is 13.5.Step 2: Let us consider the unknown value as x.Step 3: Consider the output value of 13.5 = 100%.Step 4: In the Same way, x = 5%.Step 5: On dividing the pair of simple equations we got the equation as under13.5 = 100% (1).x = 5% (2).(13.5%)/(x%) = 100/5Step 6: Reciprocal of both the sides results in the following equationx%/13.5% = 5/100Step 7: Simplifying the above obtained equation further will tell what is 5% of 13.5x = 0.675%Therefore, 5% of 13.5 is 0.675

what is 16/27 reduced to

Answers

Answer:

This is the most simplified form of the fraction. As a percentage, 16/27 = 59.3% and as a decimal it is 0.593.

Step-by-step explanation:

Answer:

16/27

Step-by-step explanation:

Here we will simplify 16/27 to its simplest form and convert it to a mixed number if necessary.

In the fraction 16/27, 16 is the numerator and 27 is the denominator.

When you ask "What is 16/27 simplified?", we assume you want to know how to simplify the numerator and denominator to their smallest values, while still keeping the same value of the fraction.

We do this by first finding the greatest common factor of 16 and 27, which is 1.

Then, we divide both 16 and 27 by the greatest common factor to get the following simplified fraction:

16/27

Therefore, this equation is true:

16/27 = 16/27

If the numerator is greater than or equal to the denominator of a fraction, then it is called an improper fraction. In that case, you could convert it into a whole number or mixed number fraction.

16/27 = Proper Fraction

Which of the following are right triangle congruence theorems?

*Check all that apply.* (IMPORTANT)

A. Leg-leg(LL)
B. Hypotenuse-angle (HA)
C. Hypotenuse-leg (HL)
D. Leg-angle (LA)

Answers

[tex][Hello,BrainlyUser][/tex]

Answer:

A. Leg-leg (LL)  

B Hypotenuse-angle (HA)

C Hypotenuse-leg (HL)

D. Leg-angle (LA)

Step-by-step explanation:

The HA theorem proves that if the hypotenuse and an acute angle of one right triangle are congruent to the hypotenuse and an acute angle of another right triangle, then the two triangles are congruent.

The HL theorem proves that any two right triangles that have a congruent hypotenuse and a corresponding, congruent leg are congruent triangles.

The LL theorem proves that any two right triangles that have a congruent hypotenuse and a corresponding, congruent leg are congruent triangles.

The LA theorem proves that if the leg and an acute angle of one right triangle are congruent to the corresponding leg and acute angle of another right triangle, then the triangles are congruent.

Thus, All of them are Correct.

[CloudBreeze]

The times of all 15 year olds who run a certain race are approximately normally distributed with a given mean Mu = 18 sec and standard deviation Sigma = 1. 2 sec. What percentage of the runners have times less than 14. 4 sec? 0. 15% 0. 30% 0. 60% 2. 50%.

Answers

The percentage of runners having times less than 14.4 sec is 0.15%. Then the correct option is A.

What is normal a distribution?

It is also called the Gaussian Distribution. It is the most important continuous probability distribution. The curve looks like a bell, so it is also called a bell curve.

The times of all 15-year-olds who run a certain race are approximately normally distributed with a given mean (μ) = 18 sec and standard deviation (σ) = 1.2 sec.

The runners have times less than 14.4 sec.

The z-score is a numerical measurement used in statistics of the value's relationship to the mean of a group of values, measured in terms of standards from the mean.

[tex]\rm z-score = \dfrac{X - \mu}{\sigma }\\\\z-score = \dfrac{14.4- 18}{1.2}\\\\z-score = -3[/tex]

Then the Percentage will be

[tex]\rm P(X < 14.4) = P(z < -3) = 0.0013499 = 0.13499\ \% \approx 0.15\ \%[/tex]

More about the normal distribution link is given below.

https://brainly.com/question/12421652

solve please !!!!!!!!

Answers

Assuming that this is a parallelogram, that means the angle opposite each other like Angle L to Angle J and Angle K to Angle M are equal in angle measure.

Thus Angle L is 98 degrees like Angle J

Hope that helps!

A small sewing case is shaped like a rectangular prism. The base of the case is 23 inches wide and 23 Inches long.
The height of the case is 32 inches.
What is the volume of the case in cubic inches?

Answers

The answer is a (8 3/4)

2 1/2 x 2 3/4 x 3 1/2 = 8.75 which is 8 3/4

Answer:

I think its 78 because you might have to add 23+23+32. I might be wrong but I think thats the answer

Step-by-step explanation:

solve by elimination:
y=-9x+2
y=-3x-4

Answers

Answer:

x=1, y=-7

Step-by-step explanation:

y=-9x+2 -->y+9x=2

y=-3x-4 -->y+3x=-4

subtract the equations

6x=6

x=1

substitute

y=-9+2

y=-7

Answer:

1st question 2nd question

Step-by-step explanation:

does anyone know this (-13w^2+13)-(-2w^2)
Plato answer

Answers

Answer:

-11w^2+13

Step-by-step explanation:

(-13w^2+13)-(-2w^2)

Distribute the minus sign

-13w^2+13+2w^2

Combine like terms

-13w^2+2w^2+13

-11w^2+13

can someone help me with this question please.

Answers

Answer:

b

Step-by-step explanation:

*View attached graph*

Which expression is equivalent to n+n+n?

A. 3^n

B. 3n

C. n^3

D. n+3

Answers

Answer:

B. 3n

Step-by-step explanation:

n + n + n = 3n

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

3n = n + n + n

#IhopeThisHelp

What effect did Geometry bring to the world/humans? Explain your answer in 3-5 sentences.

Answers

Answer:

Geometry has influenced how civilizations have constructed buildings and stadiums. In Ancient Greece, the “golden rectangle” was used to build aesthetically pleasing buildings that look to be in perfect proportion. It helps in the accurate calculation of the physical distances. It is employed in the field of astronomy to map the distances between stars & planets and between different planets. It also aids in the determination of a relationship between the movements of different bodies in the celestial environment.

Step-by-step explanation:

Pls, choose me as brainliest!

write an equation for the line in slope-intercept form (please help due today‼️)

Answers

Answer: 5

Step-by-step explanation: You have to do rise overrun which is [tex]\frac{5}{1}[/tex], which equals 5.

Answer:

The equation of the line is written in the slope-intercept form, which is: y = mx + b, where m represents the slope and b represents the y-intercept.

Step-by-step explanation:

i hope the above help you find it

all the best mate !

what negative number is the same distance from 0 as the number +4

Answers

Answer:

-4

Step-by-step explanation:

They would be the same distance considering 0 is your midpoint.

In this question you are not allowed to use a calculator. Show all yo calculations. 6.1 Calculate: -24
[tex] \div [/tex]
-8-13

Answers

if the -8-13 are both in the denominator

-24/(-8-13)

-24/-21

divide both sides by -3

[-24/-3] / [-21/-3]

8 / 7

if the -13 comes after the division

(-24/-8) -13

3 - 13

-10

Which of the following scatterplots would have a trend line with a positive slope?

Answers

Answer:

I think it will be the first one because as we can see the points are going up which tells us the line would be positive.

Can someone please help me with this asap

Answers

Answer:

this question could also be phrased as "If a single fair 6 sided die is rolled 3 times, what is the probability it will land on a 1, then on a 1, and then on a 1 again?"Probability of landing 3 = 1/6Probability of landing 2 = 1/6Probability of landing 3 = 1/6P = 1/6 * 1/6 *1/6 = 1/256

Step-by-step explanation:

Add the polynomials.(8x2-7x+7)+(8x3-5x)

Answers

Answer:

8x^3+8x^2-12x+7

Answer:

8x³ + 8x² - 12x + 7

Step-by-step explanation:

(8x² - 7x + 7) + (8x³ - 5x)

8x² - 7x + 7 + 8x³ - 5x

8x³ + 8x² - 12x + 7

I hope this helps!

Please help!
I need it like ASAP!!
Thank you so much though

Answers

Answer:your answer would be
cStep-by-step
explanation: Answer : D

What is the value of sec 65 (degrees)? I cannot understand how to input this into my calculator any help is much appreciated!!

Answers

Answer:

SEC 65 DEGREES= 2.366

Step-by-step explanation:

JUST USE SEC OF 65, MAKE SURE YOU SELECT DEGRES FOR AN ANSWER

Which values are outliers? 6. 1, 3. 9, 6. 4, 10. 6, 4. 4, 4. 5, 1. 6, 11. 2, 0. 8, 3. 9, 6. 5 Select Outlier or Not Outlier for each data point. Data Outlier Not Outlier 0. 8 Outlier – 0. 8 Not Outlier – 0. 8 1. 6 Outlier – 1. 6 Not Outlier – 1. 6 10. 6 Outlier – 10. 6 Not Outlier – 10. 6 11. 2 Outlier – 11. 2 Not Outlier – 11. 2.

Answers

Answer:

10 and 11

Step-by-step explanation:

An outlier is a number that is much larger or smaller than the general populous of numbers. For example, if there was a dot plot with dots clustered at 2, 3, and 5, but there was one or two dots around 10, then 10 would be considered an outlier.Let's put the numbers in order to see easier which numbers are outliers. I will not copy down repeating numbers.0, 1, 2, 3, 4, 5, 6, 10, 11.10 and 11 are isolated.

If I am incorrect in my reasoning, please let me know so that I can plan better for my future answers. Have an amazing day.

6 men, working 8 hours a day, earn $8400 per week. will the be the earning per week of 9 mean who work for 6 hours a day

Answers

Answer:

Let 6 men (M1) working 8 hours (D1) earn $8400 (W1).

∴ 9 men (M2) working six hours (D2) earns:

M1 × D1/W1 = M2 × D2/W2

W2 = 8400 × 9 × 6/6 × 8

     = 9450

Step-by-step explanation:

brainliest to best answer

Answers

Step-by-step explanation:

geometric sequence means that every term is created by multiplying the previous term by a constant factor.

we can see the constant factor directly, I am sure, but let's do it formally correct :

-1/8 × f = -1/4

f = -1/4 / -1/8 = -1/4 × -8/1 = -8/-4 = 2

so, yes, every new term of the sequence is created by multiplying the previous term by 2.

a0 = -1/8

a1 = a0 × 2 = -1/8 × 2 = -2/8 = -1/4

a2 = a1 × 2 = a0 × 2×2 = -1/8 × 2×2 = -1/8 × 4 = -4/8 = -1/2

...

an = a0 × 2^n = -1/8 × 2^n

a6 = -1/8 × 2⁶ = -1/8 × 64 = -8

so, the only questing is, where does your teacher start the count for such a geometric sequence ?

do you call the first term a0 or a1 ?

my solution above starts with a0.

but if it should start with a1, then we need to reduce the exponents of 2 by 1 :

an = -1/8 × 2^(n-1)

and a6 would be

a6 = -1/8 × 2⁵ = -1/8 × 32 = -4

A rectangle is 18 inches long and 12 inches wide.

What is the perimeter of this rectangle?

Answers

Answer:

60 inches

Step-by-step explanation:

perimeter =2×l+2×w

=2×18+2×12

=36+24

=60

∴The perimeter=60 inches.

hope it is correct!!!!

How can i solve Sin 40 = 10/n and Tan 50 = m/10

Answers

15.5 is the answer on A and it’s a right angle 90* on B

Given the following information find the radius

Answers

V=972(pi)
V=(pi)(r^2)(h)
972(pi)=(pi)(r^2)(h)
972=(r^2)(12)
81=r^2

9=r

i need help fast.i don't have much time.

Answers

Answer:

B. 3(x + 2y + 1)

Step-by-step explanation:

You can expand 3(x + 2y + 1) by multiplying 3 by each thing in the brackets:

3 × x which is 3x3 × 2y which is 6yand 3 × 1 which is 3

3(x + 2y + 1) is the same as 3x + 6y + 3

Hope this helps!

Answer:

The answer is B because of factorization and the distributive law.

Write an algebraic expression to represent the situation. 3 times the sum of m and 7. *

Answers

Answer:

answer should 3(m +7).

Step-by-step explanation:

times = ×

sum = +

Answer:

3(m + 7)

hope it helps and if it does please give a crown and save a town :)

What is this? I’m struggling a little with this

Answers

Just do every number multiplied by 4 so it would go 3,12,192,768,3072 and so and so forth

Express cos F as a fraction in simplest terms.
F
15
E
28
D

Answers

Answer:

cos F is 15/28

Step-by-step explanation:

Use SOH CAH TOA

CAH is for cosine and it's Adjacent over Hypotenuse

the adjacent side of F is 15 and the hypotenuse is 28

So 15/28 which does not simplify

Hope this helped! :)

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