Factorise the following expressions.
a² + 8a + 16​​

Answers

Answer 1

Explanation :

________________________________

Factorizes:

⇒ a² + 8a + 16 = 0.

As we know that,

Factorizes the equation into middle term splits, we get.

⇒ a² + 4a + 4a + 16 = 0.

⇒ a(a + 4) + 4(a + 4) = 0.

⇒ (a + 4)(a + 4) = 0.

⇒ (a + 4)² = 0.

⇒a=-4.

Hence a=-4.


Related Questions

Company A makes 20 notebooks in 4 hours. Company B make 28 notebooks in
3 hours. Write a statement comparing the number of notebooks made per
hour.

Answers

•Company B makes more books(8 more) in less time (1 hour Less) while company A makes 8 less in more time.

There are 40 pupils in a class. 75% of them are present. How may are present? How many are absent?
with solution please :D​

Answers

Answer:

30 are present 10 are absent

Step-by-step explanation:

75%=3/4

so 3/4 of them are absent

3/4(40)=30

and 40-30=10 are absent

Gravity is a force that acts upon a ball after it is thrown?


A. True


B. False

Answers

True or false, depending on the specifics. True, because the gravity makes it go to the ground. False, because gravity is always working, so you don't need to throw the ball. However since it doesn't say that it only happens when you throw it. The answer should be true.

Select the correct answer.
What is the factored form of this expression?
433 – 8x2 – 9x + 18
--
-
A. (2x − 3)(2x - 3)(x - 2)
B. (2x + 3) (2x − 3)(x + 2)
C. (2x + 3)(2x + 3)(x - 2)
D. (2x + 3)(2x − 3)(x - 2)

Answers

Answer:

Option D

Step-by-step explanation:

Use Factoring Methods

[tex]4x^3-8x^2-9x+18\\[/tex]

put bracket around each 2 terms as such [tex](4x^3-8x^2)+(-9x+18)[/tex]

And then factor each respective bracket. We'll start with the first one

[tex](4x^3-8x^2) = 4x^2(x-2)[/tex]

Then do the other, and try to get similar brackets as the first

[tex](-9x+18)=-9(x-2)[/tex]

Since they are both simiar, the equation is now: [tex](4x^2-9)(x-2)[/tex]

Now factor the first bracket again for final result

[tex]4x^2-9=(2x-3)(2x+3)[/tex]

Ans when you put it all together, you get: [tex](2x-3)(2x+3)(x-2)[/tex]

Correct answer is option D

What expression is equivalent to 8t-18-20t+14

Answers

Answer:2(4t-9-10t+7) is answer and for the next it 2(-6t-2)

PLEASE HELP!!!! Identify the mistake and use the correct answer to the problem!!!

Answers

Answer:

1 [tex]\frac{3}{8}[/tex]

Step-by-step explanation:

the denominators must be the same so, since 4 goes evenly into 24 we can create an equivalent fraction from 3/4 to 18/24 (multiply numerator and denominator by 6)

now you can add:

[tex]\frac{15}{24}[/tex] + [tex]\frac{18}{24}[/tex] = [tex]\frac{(15+18)}{24}[/tex] = [tex]\frac{33}{24}[/tex]

since the numerator is larger than the denominator this is called an improper fraction and can be changed into a mixed number by dividing 24 into 33

24 goes into 33 one time with a remainder of 9

so 33/24 = 1 [tex]\frac{9}{24}[/tex] wherein 9 and 24 can each have a 3 factored out to make it fully simplified

9÷3 = 3

24÷3 = 8

final answer is 1 [tex]\frac{3}{8}[/tex]

Answer:

11/8 is the correct answer

Step-by-step explanation:

15/24 + 3/4

Reduce the fraction   15/24 ​   to lowest terms by extracting and canceling out 3.

=5/8 +3/4

Least common multiple of 8 and 4 is 8. Convert 5/8 and 3/4 to fractions with denominator 8.

= 5/8 + 6/8

since 5/8 and 6/8 have the same denominator, add them by adding their numerators.

= 5 + 6/8

Add 5 and 6 to get 11.

=11/8

here is why 9/14 is wrong

What is the determinant of
[-2 2 b ]
A= [ 0 3 a ] ?
[ 0 0 -5]

A) -30
B) -4
C) 30
D) 60

Answers

I think the answer is c

12 POINT HURRY PLEASE

Answers

Answer:

• As x approaches -∞, g(x) approaches -∞; and as x approaches ∞, g(x) approaches ∞.

Step-by-step explanation:

[tex]{ \tt{g(x) = \frac{ {x}^{2} + 5x}{3x} }} \\ [/tex]

If x approaches -∞;

[tex]{ \tt{g( {}^{ - } \infin}) = \frac{ {( {}^{ - } \infin)}^{2} + {}^{ - } \infin}{ {}^{ - } \infin} } \\ \\ { \boxed{ \tt{g( {}^{ - } \infin) = {}^{ - } \infin }}}[/tex]

If x approaches +∞;

[tex]{ \tt{g( {}^{ + } \infin) = \frac{ {( \infin)}^{2} + \infin}{ \infin} }} \\ \\ { \boxed{ \tt{ g( {}^{ + } \infin) = {}^{ + } \infin }}}[/tex]

Note: I'm taking my infinite value to be 1,000

A speed skater completes a 500-meter race in 40 seconds. A cheetah runs 260 meters in 10 seconds. How do their speeds compare?

Find the number of meters a speed skater and a cheetah travel in 1 second.

A speed skater travels (blank) meters per second.
A cheetah travels (blank) meters per second.

Answers

skater 500 m / 40 sec= 12.5 m/ sec

Cheetah 260/10 = 26 m/ sec= The cheetah is more than twice as fast as the skater

So number 1 is 12.5

Number 2 is 26

Please help?!! Hurry please!!

Answers

Answer:

C. [tex] \frac{ {m}^{2} - m - 2}{ {m}^{2} - 1} [/tex]

Explanation:

[tex] \frac{ {m}^{2} - m - 2}{ {m}^{2} - 1} \\ = \frac{ {m}^{2} - 2m + m - 2 }{ {(m)}^{2} - {(1)}^{2} } \\ = \frac{ m(m - 2) + 1(m - 2)}{(m - 1)(m + 1)} \\ = \frac{(m + 1)(m - 2)}{(m - 1)(m +1) } \\ = \frac{(m - 2)}{(m - 1)} [/tex]

Hope you could get an idea from here.

Doubt clarification - use comment section.

First the first 4 term for 4n-5

Answers

Answer:

-1, 3, 7, 11

Step-by-step explanation:

First, let's find term 1. To find this term, we need to replace n with 1 - what is 4(1) - 5? Well, that's just 4 - 5, or -1. So, our first term is -1. Next, we'll find our second term. To do this, we'll replace n with 2. 4(2) = 8, and then 8 - 5 is equal to 3, so our second term is 3. Let's now find the third term by replacing n with the number 3. 4(3) - 5 is equal to 12 - 5, or 7. So, 7 is our third term. Finally, we'll find the fourth term. 4(4) is equal to 16, and 16 - 5 is equal to 11. So, the fourth and final term is equal to 11.

Hopefully that's helpful! :)

Step-by-step explanation:

Term 1: - 1

Term 2: 3

Term 3: 7

Term 4: 11

The rule is, where you see n, substitute with the position/term requested

First 4 terms are: - 1,3,7, 11

Solve for x/3= −9

SHOW WORK

Answers

Answer:

x =-27

Step-by-step explanation:

X/3= -9

or,X=-9×3(cross multiplication)

or, X=-27

How many cubes with side lengths of 1/3 does it take to fill the prism

Answers

Step-by-step explanation:

along the side with 1 cm we can fit 3 cubes, as 3×1/3 = 1.

along the side with 2 2/3 cm we can fit 8 cubes :

2 2/3 = 6/3 + 2/3 = 8/3.

and 8/3 / 1/3 = 8/3 × 3/1 = 3×8 / 3×1 = 8

and the height is 2/3 cm, so we can put 2 layers of cubes on top of each other.

so, we have

3 × 8 × 2 = 48

48 cubes are needed to fill the prism.

A town’s population increases at a constant rate. In 2010 the population was 56,000. By 2012 the population had increased to 81,000. If this trend continues, predict the population in 2016.

Answers

The approximate population in 2016 is 91, 604 population

Let the time taken by the population to increase be "t"Let the number of the population be P

The exponential equation representing the statement is [tex]P=P_0e^t[/tex]

If in 2010 the population was 56,000, then at t = 0, P0 = 56000

Substituting into the formula will give:

P = 56000

If by 2012 the population had increased to 81,000, then:

81000 =  56000e^12k

81000/56000 = e^12k

1.4464 = e^12k

ln1.4464 = 12k

0.3691 = 12k

k = 0.3690/12

k = 0.03076

Get the prediction of the population in 2016.

[tex]P = 56000e^{16(0.03076)}\\P=56000e^{0.49213}\\P = 56000(1.6357)\\P = 91,603.70[/tex]

Hence the approximate population in 2016 is 91, 604 population

Learn more on exponential function here:https://brainly.com/question/2456547

Two cities, A and B, are mapped on the coordinate plane. How far apart are they from each other?

Answers

I can’t help because I can’t see the coordinate plane.

Solve each inequality 5 + 5(x + 4) = 20

Answers

Answer:

5 x + 25 ≤ 20

Step-by-step explanation:

Simplify 5  +  5  (  x  +  4  ) .

5  + 5 x  +  20  ≤  20

Add  5  and 20 .

A movie theater charges $9.75 per ticket. Monday through Thursday they make on average $2720.25 daily. How many
customers do they have on an average Tuesday?
a. 279 customers
c. 70 customers
b. 272 customers
D. 26552 customers

Answers

Answer:

Your anwser would be A mark brainliest please and thank you

Step-by-step explanation:

Can you simplify these two?
5 points for each.

Answers

Answer:

See attached files.

The answers are there.

Four tour buses depart the terminal on the same day. The itinerary of the first bus takes 6 days, for the second bus it takes 8 days, for the third bus it takes 10 days, and the fourth bus takes 15 days. Assuming that another tour begins the same day that the bus returns to the terminal, how many days will it take until all four buses return to the terminal on the same day?

Answers

Using the least common factor, it is found that it will take 120 days until all four buses return to the terminal on the same day.

Considering their itineraries, the number of days it will take until all four buses return to the terminal on the same day is the lcm of 6, 8, 10 and 15.

To find their least common factor, we factor each number by prime numbers, hence:

6 - 8 - 10 - 15|2

3 - 4 - 5 - 15|2

3 - 2 - 5 - 15|2

3 - 1 - 5 - 15|3

1 - 1 - 5 - 5|5

1 - 1 - 1 - 1

Hence, lcm(6, 8, 10, 15) = 2³ x 3 x 5 = 8 x 15 = 120.

It will take 120 days until all four buses return to the terminal on the same day.

To learn more about the least common factor, you can take a look at https://brainly.com/question/24873870

Alex can make 3 pies in 4 hours. At this rate, how long will it take him to make 15 pies?

Answers

Answer

To make 15 pies, it will take Alex 20 hours

Step-by-step explanation:

3 x 5 = 15 pies

4 x 5 = 20 hours

What is the domain of the absolute value function below?
(will give brainless)!!!!

Answers

Answer:

D <----last option  Domain is set of real numbers or (-∞,+∞)

11. Write the equation of a line passing through the two points. First find the slope and the y-
intercept

(0,3) and (2,6)

Answers

Answer:

Y intercept is (0,3)

Step-by-step explanation:

Check out the image

Pls look at photos I’ll give 30 points

Answers

you said you’d give 30 points but i only see 15 there ☹️

I need help with this answer PLEASE I’m stuck

Answers

Answer:

40% of airline A's flights were on time

Step-by-step explanation:

0.4=40% .the top row indicates that it was airline A. the left column indicates that it was on time.

Answer:

B

Step-by-step explanation:

happy holidays

What could be
a good option available to you if you are
behind on loan payments?

Answers

A good option available to you as a financial expert is to request a part payment from the customer while the remaining part is to be made on the next pay day.

For a good financial management, the best decision to make profit or avoid loss is paramount.

The most difficult challenge faced today by loan companies is the non complaisance of the customers to pay back when the period given expires.

The best option that may be available for the loan manager must be a request  for the customer to pay part of the loan and complete the payment in the next  pay day.

Thus, a good option available to you as a financial expert is to request a part payment from the customer while the remaining part is to be made on the next pay day.

Learn more about options for loan payment here: https://brainly.com/question/12233464

Nadia is a stockbroker. She earns 12% of commission each week. Last week, she sold 4,500 worth of stocks. How much did she make last week in commission? If she averages that same amount each week, how much did she make in commission in 2011?

Answers

Answer:

540 last week

52X540.=$28,080 a year

Step-by-step explanation:

For which value of x is line L parallel to line M?

Answers

Answer:

x=8

Step-by-step explanation:

5x+10+130=180

5x+140=180

5x=40

x=8

The answer would be 8

Help help help help help math

Answers

Step-by-step explanation:

don't panic. just breathe and think logically.

why would these angles be different ? how could they be different ?

right : they cannot be different. otherwise the 2 horizontal lines would not be parallel.

so, yes, indeed, these 2 angles are identical.

3x + 2 = 2x + 6

x = 4

that's it.

A bath tub drained at a constant rate. The table shows the number of gallons of water left in the tub after being drained for two amounts of time

Answers

The rate at which the water was drained from the tank is 6 gallons of water per minute (option A)

To know the speed at which the tank was drained, we must carry out the following operations:

Taking into account the information provided by the table we establish how much water has been drained from the tank in 20 minutes.

450 gallons - 330 gallons = 120 gallons.

Subsequently, we must divide the amount of water (120 gallons) that was drained by the time it was drained (20 minutes).

120 gallons ÷ 20 minutes = 6 gallons / minute.

According to the above, we can establish that the bath drain rate is 6 gallons / minute (option A).

Note: This question is incomplete because there is some missing information. Here is the complete information:

What is the rate at which the water was drained from the tank?

6 gallons of water per minute. 11 gallons of water per minute. 45 gallons of water per minute. 120 gallons of water per minute.

Learn more about linear equation in: https://brainly.com/question/11897796

ITS DUE TODAY
GRADES ARE FINAL TODAY PLS HELP ILL GIVE BRAINLIEST

0.5a + 8.75 > 13.25

Answers

Answer:

The answer is 9

Explanation:

0.5a+8.75=13.25

We simplify the equation to the form, which is simple to understand

0.5a+8.75=13.25

We move all terms containing a to the left and all other terms to the right.

+ 0.5a=+13.25-8.75

We simplify left and right side of the equation.

+ 0.5a=+4.5

We divide both sides of the equation by 0.5 to get a.

a=9

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