Simplify: (ab + bc) (ab - bc)​

Answers

Answer 1

[tex] \: \: \: \: [/tex]

[tex] = {a}^{2} \: {b}^{2} - {b}^{2} \: {c}^{2} [/tex]

Step-by-step explanation:

[tex](ab + bc)(ab - bc)[/tex]

use ( a + b ) ( a + b ) = - to simply the product

[tex](ab {)}^{2} - (bc {)}^{2} [/tex]

to raise a product to a power ,raise each factor to that power

[tex] = {a}^{2} {b}^{2} - {b}^{2} {c}^{2} [/tex]

hope it helps

Related Questions

Help help help help help help help math math

Answers

Answer:

Step-by-step explanation:

5x + 10 + 10x + 5 = 180

15x + 15 = 180

15x = 165

x = 11

PLEASE HELP I WILL MARK YOU BRAINLEST!!!
please read the question on the photo and these are the choices bellow!!

A-translation, reflection
B- rotation, reflection
C-reflection, rotation
D-rotation, translation

Answers

It’s B and can you help me with this how much can 38 can get to 341.

Find the area of a rectangle that is 7 cm long and 3 cm wide. You can use the tool to help you solve.

Answers

Answer:

21

Step-by-step explanation:

The answer is 21 because for finding the area you have to multiply, 7 and 3.

Multiply 7 and 3 you get 21.

Hope this helps :)

Answer:

21

area is equal to length X height. 7 X 3 = 21

Simplify the expression.

−10−3

Answers

Answer:

-13

Step-by-step explanation:

Answer plzzz!!!!!!!!!!!

Answers

Answer:

110

Step-by-step explanation:

Know the angle for BCD which is 130.

Subtract 180 from 130 and you get angle c for the triangle which is 50

Already knowing B and C, add them both which comes up to 70

All triangle angles equal 180 so subtract 70 for 180 and you get 110

I don’t understand this question can you please help me ?.

Answers

Answer:

Girl: YES = 12 ; NO = 38

Boy: YES = 29 ; NO = 21

Total: YES = 41 ; NO = 59

Step-by-step explanation:

hope this helps! :D

have a miraculous day!! <3

Girl yes=12;no=38 boy yes=29 no=59 and Yes=41 and no =59

PLEASE HELP I WILL MARK BRAINLIST
What is the polynomial function in standard form with zeros -10,0,2?
a) x^3 + 8x^2 + 20x
b) x^3 + 8x^2 - 20x
c) x^2 +8x -20
d) x^2 + 8x + 20​

Answers

Answer:

x³ - 8x² - 20x

Step-by-step explanation:

Zeroes: 10, 0, -2

Factors are: (x - 10), (x - 0), (x + 2)

Multiply all factors to get expression:

(x - 10)x(x + 2) = x(x - 10)(x + 2)

= x(x² - 10x + 2x - 20)

= x(x² - 8x - 20)

= x³ - 8x² - 20x

First to answer correctly will get brainiest.

How to get a number 100 by using four sevens (7’s) and a one (1)?

Answers

Answer:

read step-by-step explanation

Step-by-step explanation:

it's a trick question u can't u can get close doing (7+7)×(7+1)-7=105 but it's not 100

What is the slope of y = 4 – 2x
?

Answers

Answer:

m = -2

Step-by-step explanation:

Use the slope intercept formula y = mx + b

You would switch the order to get y = -2x + 4 to get it in the correct format.

You can then see that -2 is the slope based off the slope intercept formula

(b = y intercept)

(m = slope)

Which of the following functions are solutions of the differential equation y" + y = 7 sin(x)? (Select all that apply.)

y = 7 sin(x)
y= 7 cos(x)
y= 7x sin(x) - 8x cos(x)
y = 7/2 sin(x)
Y = - 7/2 cos(x)

Answers

The homogeneous equation

y'' + y = 0

has characteristic equation

r² + 1 = 0

with roots at r = ± √(-1) = ± i, and so the characteristic solution is

y = C₁ cos(x) + C₂ sin(x)

Using the method of undetermined coefficients, suppose

y = a x cos(x) + b x sin(x)

(we would normally consider y = a cos(x) + b sin(x), but cos(x) and sin(x) are already part of the characteristic solution)

The derivatives are

y' = a cos(x) - a x sin(x) + b sin(x) + b x cos(x)

y' = (b - a x) sin(x) + (a + b x) cos(x)

and

y'' = -a sin(x) + (b - a x) cos(x) + b cos(x) - (a + b x) sin(x)

y'' = (-2a - b x) sin(x) + (2b - a x) cos(x)

Then

y'' + y = (-2a - b x) sin(x) + (2b - a x) cos(x) + a x cos(x) + b x sin(x)

7 sin(x) = -2a sin(x) + 2b cos(x)

and it follows that a = -7/2 and b = 0.

So, the general solution to the DE is

y = C₁ cos(x) + C₂ sin(x) - 7/2 x cos(x)

which means the only valid solutions from the given choices are

y = 7 sin(x)

y = 7 cos(x)

Help I will give brainlest

Answers

8(x+18) is less than or equal to 19

The average temperature in the Arctic Circle is -25 celsius. To the nearest integer, what is the average temperature in the Arctic Circle in degrees Fahrenheit?

Answers

The temperature in the attic circle would be -25 celsius

A sandwich costs $4.25 and a fruit drink costs $1.85. How much change will you get from a $10 bill?
Follow: Maddie Edits

Answers

Answer:

3.90

Step-by-step explanation:

4.25

+1.85=6.10

10-6.10=3.9

Answer:  $3.90

======================================================

Work Shown:

4.25+1.85 = 6.10

It costs $6.10 to get the sandwich and drink.

If the customer pays with a $10 bill, then they get 10.00 - 6.10 = 3.90 dollars in change.

One way to represent $3.90 is to have:

3 dollar bills = 3 dollars3 quarters = 3*25 = 75 cents1 dime = 10 cents1 nickel = 5 cents

The coins add up in value to 75+10+5 = 90 cents.

Or another option is to have 9 dimes and no other coins. Or perhaps you could have nothing but nickels and you'd need 18 nickels. There are a few ways to determine what coins to use.

Your class rank in 2018 was 89 out of 360 students. In 2019 your class rank was 95 out of 450 students. a. In which year did you have the higher percentile ranking. b. If you had the data on the cumulative GPA of each student at the end of the spring semester in 2018, which measure of average would be the most meaningful – mean, median, mode? Explain

Answers

A) given that in 2019 you were among the 21.11% of the best students in the class, in that year you had the higher percentile ranking, and B) the measure of average that would be the most meaningful is the median.

Given that your class rank in 2018 was 89 out of 360 students, while in 2019 your class rank was 95 out of 450 students, to determine A) in which year did you have the higher percentile ranking, and B) if you had the data on the cumulative GPA of each student at the end of the spring semester in 2018, which measure of average would be the most meaningful - mean, median or mode -, the following calculation should be performed:

360 = 100 89 = X 89 x 100/360 = X 24.72 = X 450 = 100 95 = X 95 x 100/450 = X 21.11 = X

Therefore, A) given that in 2019 you were among the 21.11% of the best students in the class, in that year you had the higher percentile ranking, and B) the measure of average that would be the most meaningful is the median.

Learn more about maths in https://brainly.com/question/25748895

Find all solutions of cos()=−1/2 on the interval [−

Answers

Answer:

1.

2.

3.

4.

5.

6.

7.

8.

9.

10!!

Step-by-step explanation:

Which of the following is an example of a ratio variable?

A-Martha is the same gender as Ruth

B-Mary's IQ is 115 and Janet's is a 90, which means Mary's IQ is slightly higher than Janet's

C-Sam is twice the age of his son

D-George and Harry attend religious services about the same amount

Answers

I think c so like it would be Sam age=2x and let’s say is son was 16 he would be 32

3 2/3 + 2.3 =

5
5 2/3
6
6 1/3

Answers

2.3 is the same as 2 1/3 is the same as 7/3

3 2/3 is the same as 11/3

11/3+7/3=18/3

18/3=6

Answer:6

If your money doubles once every 30 minutes and your start with $12, how much money will you have in 1.5 day?

Answers

Answer:

$1728

Step-by-step explanation:

1.5 days is 36 hrs

36 hrs is 2160 mins

2160/30 = 72 (this is the amount of times our money will be doubled)

72*2 = 144

$12*144 = $1728

A board is 81.28 centimeters long. How long is the board in inches? Use the following conversion: 1 inch is 2.54 centimeters

Answers

32 inches. Divide 81.28 by 2.54.

an object is dropped from a height of 25 meters at what velocity will it hot the ground​

Answers

Given data

height (h) = 25 m ,

velocity (v) = ?

we know that,

                    v²-u² = 2as

                     initial velocity (u) = 0,

                                               a = g = 9.8 m/s ,

                 Now the equation becomes,

                                    v² = 2 × g × h

                                        = 2 × 9.8 × 25

                                    v² = 490.5

                                    v = √490.5

                                   v = 22.1 m/s

Therefore answer is C , i.e., 22 m/s

Expand & simplify
(x +3) (x-3)

Answers

Answer:

x^2 - 9

Step-by-step explanation:

Multiply parenthesis

x × x = x^2

x × -3 = -3x

3 × x = 3x

3 × -3 = -9

x^2 - 3x + 3x - 9

= x2 - 9

In two or more complete sentences, compare the number of x-intercepts in the graph of f(x) = z2 to the
number of z-intercepts in the graph of g(x) = -22 – 5. Be sure to include the transformations that
occurred between the parent function f(x) and its image g(x).

Answers

Answer:

There is only one x-intercept for f(x) and g(x), f(x) having a minimum value of zero and g(x) having a maximum value of zero. f(x)=0 when x=0, g(x)=0 when x=4.

g(x) is f(x) reflected about the about the x-axis and shifted to the right by 4 units.

What is the slope of the line containing the points (17,92) and
(21, 44)?

Answers

Answer:

-9.6

Step-by-step explanation:

92-44/17-21

Answer:

-12

Step-by-step explanation:

Formula:

[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

Identify the values:

[tex]y_2=44[/tex]

[tex]y_1=92[/tex]

[tex]x_2=21[/tex]

[tex]x_1=17[/tex]

Plugin the values; solve:

[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\frac{44-92}{21-17}[/tex]

[tex]= \frac{-48}{4}[/tex]

[tex]\bold{m=-12}[/tex]

Therefore, the slope of the line containing the points (17,92) and

(21, 44) is -12.

1. There are 2 hiking trails in Watkins Park. The Spicebush Trail is 2.7 miles and the Loop Trail is 1.7 miles. If you hiked both trails, how many miles would you walk?

2. On your hike, you brought 1.7 pounds of almond trail mix and 1.4 pounds of cashew trail mix. How much trail mix do you have all together?

3. At the end of the hike you still had 2 pounds of trail mix left. How much trail mix did you at on the hike?

4. Solve these decimal addition and subtraction problems with your base-10 blocks or a number line:

5.3 + 7.4



2.45 + 3.95



2.5 – 1.3



4.12 – 2.80

Answers

1. Add 2.7 and 1.7 together to discover the total amount

2.7 + 1.7 = 4.4

You would walk 4.4 miles if you walked both trials.  

2. Add the amounts of both trail mixes together

1.7 + 1.4 = 3.1

There were 3.1 pounds of trail mix brought on the hiking trip

3. Subtract answer from 2 by 2 and recieve the answer for this question

3.1 - 2 = 1.1

There were 1.1 pounds of trail mix eaten on this hiking trip

4. Answers:

12.7

6.40

1.2

1.32

What is equivalent to 56 − 7 + ( 26 − 4 ) ÷ 2

Answers

Answer:

60

Step-by-step explanation:

56-7+22÷2

56-7+11

67-7=60

hope it helps thanks

Who ever is right i will mark brainilest

Answers

yes yes no yes is the answer

Answer:

no

yes

no

yes

Step-by-step explanation:

thats the answer

How many solutions does the system of equation have?

2x + 3y = 9 and y = 2/3x - 2

A.
One solution

B.
Two solutions

C.
Infinitely many solutions

D.
No solutions

Answers

Answer:

A. One solution

Step-by-step explanation:

y = 2/3x - 2 has slope of 2/3

2x + 3y = 9

       3y = -2x + 9

         y = (-2/3)x + 3 has slope of -2/3

lines with different slopes have only ONE intersection

The first term of an AP is p & it's common difference is q. What it's 10th term?​

Answers

The first term of an AP = p

The common difference = q

We know that

nth term of an AP = a+(n-1)d

10th term = a+(10-1)d = a+9d

t10 = p+9q

Tenth term of the AP is p+9q

also read similar questions: a) The sixth term of an AP is twice the 3rd term and the first term is 3. Find the common difference and the 10th term....

https://brainly.com/question/19517085?referrer

If the 17th term of an AP exceeds the 10th term by 7, then the common difference is_____

https://brainly.com/question/16821782?referrer

state whether each of the following equations represent growth or decay.

Answers

Answer:

answer below

Step-by-step explanation:

f(x) = a* bˣ

if a>0 and b>1 : growth

if a>0 and 0<b<1 : decay

5) 7) 9) : growth

6) 8) 10) : decay

When analyzing whether an equation represents growth or decay, we examine the relationship between the variables involved. If an equation shows a positive relationship, it represents growth, while a negative relationship indicates decay.

When determining whether an equation represents growth or decay, we need to examine the relationship between the variables involved. 1. If the equation represents a positive relationship, where as one variable increases, the other variable also increases, then it represents growth. 2. On the other hand, if the equation represents a negative relationship, where as one variable increases, the other variable decreases, then it represents decay.

Let's look at some examples to illustrate this: Example 1: y = 2x In this equation, as x increases, y also increases. Therefore, it represents growth. Example 2: y = -3x In this equation, as x increases, y decreases. Therefore, it represents decay. Example 3: y = -0.5x + 3 Here, as x increases, y decreases. So, this equation represents decay. Example 4: y = 4.5x + 2 As x increases, y also increases. Hence, this equation represents growth. In summary, when analyzing whether an equation represents growth or decay, we examine the relationship between the variables involved. If an equation shows a positive relationship, it represents growth, while a negative relationship indicates decay.

To know more about equations here

https://brainly.com/question/29174899

#SPJ2

Here is the list of numbers.

5
11
16
24
29

From the list, write down a multiple of 3.

Plz write down the answer.

Answers

Answer:

From the list the multiple of 3 is 24

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