a^2-2(a+b)-b^2. plzz help plzz solve this factorization plzzzzzz​

Answers

Answer 1

[tex]\displaystyle\bf \star a^2-b^2=(a-b)(a+b)\star\\\\ a^2-2(a+b)-b^2=a^2-b^2-2(a+b)=\\\\\underline{(a+b)}(a-b)-2\underline{(a+b)}=\boxed{(a+b)(a-b-2)}[/tex]

Answer 2

Answer:

Step-by-step explanation:

a² -2(a+b) - b² = a² - 2a - 2b -b²

                       = a² - b² - 2a - 2b

                       = (a+b)(a-b) - 2 (a+b)

                      = (a+b)(a - b - 2)

 


Related Questions

4a+b+16a^2-b^2 how to factorize this​

Answers

hope it helps

stay safe healthy and happy...

Answer:

4a + b)( 1 + 4a - b )

Step-by-step explanation:

4a + b + 16a² - b²

Step 1 :- Use a² - b² = ( a - b ) ( a + b ) to factor the expression.

4a + b + ( 4a - b ) ( 4a + b ).

Step 2 :- Factor out 4a + b from the expression.

(4a + b)( 1 + 4a - b )

An article in Human Factors (June 1989) presented data on visual accommodation (a function of eye movement) when recognizing a speckle pattern on a high-resolution CRT screen. The data are as follows: 36.45, 67.90, 38.77, 42.18, 26.72, 50.77, 38.9, and 50.06. Calculate the sample mean and sample standard deviation.

Answers

Answer:

Mean = 43.969

Standard deviation = 12.341

Step-by-step explanation:

Given the data :

36.45, 67.90, 38.77, 42.18, 26.72, 50.77, 38.9, 50.06

The sample mean :

Σx / n = 351.75 / 8 = 43.969

Sample standard deviation :

√Σ(x - mean)²/n-1

√[(36.45-43.969)² + (67.90-43.969)² + (38.77-43.969)² + (42.18-43.969)² + (26.72-43.969)² + (50.77-43.969)² + (38.9-43.969)² + (50.06-43.969)² ] / ((8 - 1)

Standard deviation = 12.341

(x+4y)^(6)
Can Someone please me how to do this PLEASE!

Answers

The answer is x+4y=-6

What is the rule for the following geometric sequence? 64,128,256,512...
a) a_(n) = 64(-2)^n-1
b) a_(n) = 64(2)^n-1
c) a_(n) = 64(1/2)^n-1
d) a_(n) = 64(-1/2)^n-1

Answers

Answer:

B

Step-by-step explanation:

The explicit rule for a geometric sequence is

[tex]a_{n}[/tex] = a₁ [tex](r)^{n-1}[/tex]

where a₁ is the first term and r the common ratio

Here a₁ = 64 and r = [tex]\frac{a_{2} }{a_{1} }[/tex] = [tex]\frac{128}{64}[/tex] = 2 , then

[tex]a_{n}[/tex] = 64 [tex](2)^{n-1}[/tex] → B

Answer:

b).

[tex]{ \tt{a _{n} = a( {r}^{n - 1} )}} \\ { \tt{a _{n} = 64( {2}^{n - 1}) }}[/tex]

According to class 8 please solve

Answers

Answer:

i) 2 + 2x

ii) 154 = 2(2 + 2x + x)

iii) Length = 52m

Breadth = 25m

Step-by-step explanation:

Perimeter of swimming pool = 154m

Breadth = x

Length = 2 + 2x

Formula for finding perimeter = P = 2(l + b)

Therefore,

154 = 2 ( 2 + 2x + x)

154 = 4 + 4x + 2x

154 = 4 + 6x

154 - 4 = 6x

150 = 6x

150/6 = x

25 = x

With the value of x,

we can fInd the length and the breadth

Breadth = x

= 25

Length = 2 + 2x

= 2 + 2(25)

= 2 + 50

= 52

The gradient of the line passing through A (2,3), B (k,7) is
23
23

. Find the value of k. help pls

Answers

Given:

The gradient of the line passing through A(2,3), B(k,7) is [tex]\dfrac{2}{3}[/tex].

To find:

The value of k.

Solution:

The gradient or slope of a line is:

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

The gradient of the line passing through A(2,3), B(k,7) is [tex]\dfrac{2}{3}[/tex]. So,

[tex]\dfrac{2}{3}=\dfrac{7-3}{k-2}[/tex]

[tex]\dfrac{2}{3}=\dfrac{4}{k-2}[/tex]

On cross multiplication, we get

[tex]2(k-2)=4(3)[/tex]

[tex]2k-4=12[/tex]

[tex]2k=12+4[/tex]

[tex]2k=16[/tex]

Divide both sides by 2.

[tex]k=\dfrac{16}{2}[/tex]

[tex]k=8[/tex]

Therefore, the value of k is 8.

SOMEONE PLEASE ANSWER THIS PLZZZ

Answers

Answer:

.14

Step-by-step explanation:

A|B (or A given B)= A and B/B

So

Walk to school | senior= (walk to school and senior)/Senior

walk to school and senior= 5

senior= 25+5+5= 35

5/35= .14

Whoever finishes this gets "brainliest".
just for fun
35a^7--11a^7

Answers

Answer:

a=0

Step-by-step explanation:

Factor:

a^7 (35-11)

Set it equal to zero and solve:

a^7=0

a=0

According to class 8 please solve

Answers

YOUR is a parallelogram

RUO=120°

RUO=RYO. {opposite angles in parallelogram are equal}

therefore...RYO=120°

RYS + RYO =180°. {linear pairs}

120°+RYO= 180°

therefore..RYO=60°

in ∆RSY

√SRY+RYS+YSR=180°. {sum of angles in triangle add up to 180°}

50°+60°+YSR=180°

110°+YSR=180°

:YSR=70°

Answer:

THEREFORE YSR = 70°

Step-by-step explanation:

RUO = 120°

Therefore,

RYO = 120°

(opposite angles of a parallelogram are equal)

Now,

RYO + RYS = 180° (linear pair of angles)

120° + RYS = 180°

RYS = 180° - 120°

RYS = 60°

Now,

By Angle sum property of a Triangle,

SRY + RYS + YSR = 180°

50° + 60° + YSR = 180°

110° + YSR = 180°

YSR = 180° - 110°

YSR = 70°

What is the product of 3/5 and 25. Is the product more or less than 14? Explain your answer in complete sentences.
(3/5 is a fraction Not Disvison )

Answers

Answer:

15, The answer is greater than 14 because when you multiply the 2 fractions you get a number that is greater than 15

Step 1: Set up equation

[tex]\frac{25}{1}*\frac{3}{5}[/tex]

Step 2: Cross reduce

you can cross reduce 25 and 5 because they are both share a common divisor

[tex]\frac{5}{1} *\frac{3}{1}[/tex]

Step 3: Multiply numerator and denominator together

[tex]\frac{15}{1}[/tex]

Final Answer:

15

The answer is greater than 14 because when you multiply the 2 fractions you get a number that is greater than 15

Can someone help me with this question

Answers

Vas happening?
You break it down
3 ^5 is 3 x 3 x 3 x 3 x 3 = 729
4 ^ 5 is 4 x 4 x 4 x 4 x 4 = 1024
729 times 1024 = 746,496
12 ^ 10 is 12 x 12 x 12 x 12 x 12 x 12 x 12 x 12 x 12 x 12 = 6.19174e10
So the answer is incorrect

Answer:

Kenji is wrong

Step-by-step explanation:

3⁵ · 4⁵ = (3 · 4)⁵ = 12⁵

but 12¹⁰ ≠ 12⁵

so , kenji is wrong

Which number line represents the solution set for the inequality 3(8 – 4x) < 6(x – 5)?

A number line from negative 5 to 5 in increments of 1. An open circle is at 3 and a bold line starts at 3 and is pointing to the left.
A number line from negative 5 to 5 in increments of 1. An open circle is at 3 and a bold line starts at 3 and is pointing to the right.
A number line from negative 5 to 5 in increments of 1. An open circle is at negative 3 and a bold line starts at negative 3 and is pointing to the left.
A number line from negative 5 to 5 in increments of 1. An open circle is at negative 3 and a bold line starts at negative 3 and is pointing to the right.

Answers

Step-by-step explanation:

number line from negative 5 to 5 in increments of 1. An open circle is at 3 and a bold line starts at 3 and is pointing to the right.

Solve the inequality:

3(8 – 4x) < 6(x – 5)8 - 4x < 2(x - 5)8 - 4x < 2x - 108 + 10 < 4x + 2x18 < 6x3 < xx > 3

The solution set is the space to the right from 3, where 3 is given by an open circle.

Correct choice reflecting the answer is B:

A number line from negative 5 to 5 in increments of 1. An open circle is at 3 and a bold line starts at 3 and is pointing to the right.

BRAINLIEST FOR EXPLANATION AND STEP BY STEP. (One question)
1) In a right triangle, the side adjacent to the 25 degree angle is 15cm long. What is the length of the side opposite the 25 degree angle to the nearest centimeter?

MY QUESTIONS:
what is the question asking for? And where is the 25 degree in a right triangle??
PLS HELP! :))

Answers

Answer:

Step-by-step explanation:

Draw a right triangle with the following conditions.

Make one of the acute angles come out to your right.

The adjacent side should be one of the sides that makes up the acute angle you just drew.

The adjacent side is also horizontal.

The other side is vertical at the left end point of the 15 cm side

The right angle is made by the two sides you have already.

Join the vertical end point to the horizontal endpoint not part of the right triangle.

Label the left side of the horizontal line as 25 degrees.

You are looking for the vertical line length.

The vertical line divided by the horizontal line length = tan(25)

vertical / 15 = tan(25)            Multiply both sides by 15

vertical = 15 * tan(25)

vertical = 15 * 0.4663

vertical = 6.995

Answer:

7 cm approximately

Step-by-step explanation:

A right triangle means one of the angles is 90 degrees. It tells one of the other angles is 25 degrees. It doesn't matter which one you call 25 degrees, just don't call the right angle 25 degrees:p.

We are given the adjacent side to 25 degrees. This is the side helping to create the angle whose measurement is 25 degrees. The other side helping to create the angle is the hypotenuse.

We are asked to find the opposite side to the 25 degree angle.

Since we are given the 25 degree angle, the adjacent side measurement=15 cm, and we are asked to find the opposite side measurement=x, we should use tangent ratio.

I like to refer to the acronym to help me remember which trig ratio to use: Soh Cah Toa.

So we need to solve tan(25)=x/15.

We can do this by multiplying both sides by 15 giving us 15tan(25)=x.

Now we punch it into our calculator giving us 6.995 cm approximately.

X2+y2-6x+2y-39=0 what is the radius and the center

Answers

Answer:

(centre = (3, - 1 ) and radius = 7

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

Given

x² + y² - 6x + 2y - 39 = 0 ( collect x/ y terms and add 39 to both sides )

x² - 6x + y² + 2y = 39

Using the method of completing the square

add ( half the coefficient of the x/ y terms )² to both sides

x² + 2(- 3)x + 9 + y² + 2(1)y + 1 = 39 + 9 + 1

(x - 3)² + (y + 1)² = 49 ← in standard form

with centre (3, - 1 ) and r = [tex]\sqrt{49}[/tex] = 7

знайка и незнайка розв'язували задачі з математики,знайка розв'язав 15\19 усіх задач.Скільки всього задач розв'язали Знайка і Незнайка,якщо Знайка розв'язав на 44 задачі більше,ніж Незнайка?​

Answers

Dkdndnekaiab drnkrsosnnsnais ee

Step 1: –10 + 8x < 6x – 4
Step 2: –10 < –2x – 4
Step 3: –6 < –2x
Step 4: ________

What is the final step in solving the inequality –2(5 – 4x) < 6x – 4?

x < –3
x > –3
x < 3
x > 3Step 1: –10 + 8x < 6x – 4
Step 2: –10 < –2x – 4
Step 3: –6 < –2x
Step 4: ________

What is the final step in solving the inequality –2(5 – 4x) < 6x – 4?

x < –3
x > –3
x < 3
x > 3

Answers

x< 3 because whenever you multiply or divide by a negative number, the symbol switches.

Devaughn is 7 years older than Sydney. The sum of their ages is 95. What is Sydney's age?​

Answers

Answer:

44

Step-by-step explanation:

Let's say that Devaughn's age is D, and Sydney's age is S.

We know that D is 7 greater than S, so D = 7 + S.

We know that the sum of their ages, or D + S, is equal to 95, so D+S = 95

We have

D = 7 + S

D + S = 95

What we can do is plug D= 7 + S into the second equation to get

D + S = 95

= (7+ S) + S

= 7 + 2 * S

7+2 * S - 95

subtract 7 from both sides to isolate the coefficient and the variable

2 * S = 88

divide both sides by 2 to isolate the variable

S = 44

Sydney is therefore 44 years old

Find the measure of the indicated side

Answers

ANSWER:

10 units

EXPLAINATION:

The measure of the indicated side would be 10 units because the triangle shown here is a equilateral triangle this can be seen by the picture in which all the angles of the triangle are equal.

what is the solution to 4 1/5 x (1 1/9 x 3)

Answers

Answer:

14

Step-by-step explanation:

[tex]4 \frac{1}{5} \times (1 \frac{1}{9} \times 3) \\\\= \frac{21}{5} \times ( \frac{10}{9} \times 3)\\\\=\frac{21}{5} \times( \frac{10}{3})\\\\= \frac{21 \times 10}{ 5 \times 3}\\\\=7 \times 2 \\\\= 14[/tex]

In ΔEFG, the measure of ∠G=90°, GF = 33, FE = 65, and EG = 56. What ratio represents the sine of ∠F?

Answers

Answer:  56/65

Work Shown:

sin(angle) = opposite/hypotenuse

sin(F) = EG/FE

sin(F) = 56/65

Refer to the diagram below.

Find the value of m..............................................(this is the whole question btw)

Answers

Answer:

7

Step-by-step explanation:

6m = 3m + 21

6m - 3m = 21

3m = 21

m = 21 / 3

m = 7

Can someone help me with this math homework please!

Answers

Answer:

option 3. (4, -2)

Step-by-step explanation:

For a relation to be a function there should be exactly one output value for a given input.

In the given relation :-

4 has 2 outputs, -2 and 2, so if we remove the pair (4, -2) 4 will have only one output value ,i. e., 2. And hence the relation will be a function.

So the answer is option 3. (4, -2)

plss answer someone the bottom question qracias

Answers

0.6(180) is the same as asking the question - What is 60% of 180?

To find that answer, we can multiply 0.6 by 180. We use the decimal 0.6 because that is the decimal form of 60%.

0.6 x 180 = 108

Another way we can find this answer is to find 1/10 of 180 and multiply this answer by 6 because 60/100 is the same thing as 6/10.

1/10 of 180 = 18

18 x 6 = 108

Hope this helps!

What does the point (1994, 400) on the graph represent?

Answers

Answer: There are 400 tadpoles in the year 1994.

This is because any point is of the form (x,y) where in this case

x = year number

y = tadpole population number

So (x,y) = (1994, 400) means x = 1994 and y = 400 pair up together.

In short, the year x = 1994 corresponds to the population of y = 400 tadpoles.

From the years 1990 to 1992, the population is increasing since the curve goes upward when moving from left to right. Then from 1992 to 1993, the population decreases hitting its lowest point in that specific region. From 1993 to 1997, the population increases before it decreases again from 1997 to 1999.

Help please I’m so lost on this. I really need help. I can’t get any of the questions ):

Answers

Answer:

35 miles

Step-by-step explanation:

You add all of the miles on the chart up to get a final answer of 35 miles. Have a great day!

If a jelly bean machine contains 16 pink jelly beans, 34 blue jelly beans, 24
black jelly beans, and 26 purple jelly beans, what is the probability that a jelly
bean chosen at random will be pink?

Answers

Answer:

There are 16 pink jelly beans.

There are 16+34+24+26=100 jelly beans in total.

The probability is 4/25, or 16%.

Step-by-step explanation: hope this helps and gl :)

Answer:

The answer is 4/25

Step-by-step explanation:

Hope this helps

We can use SOH-CAH-TOA for

A. Any triangle ever
B. Non-right triangle only
C. right triangle only
D. Never ​

Answers

Answer:

C. right triangle only

Step-by-step explanation:

Other triangles use other laws such as law of cosines or sines to solve them. Right triangles exclusively use SOH-CAH-TOA because side opposite to 90 degree is always hypotenuse.

PLEEEEEAAASE ASAP!
a) Describe how the line of best fit and the correlation coefficient can be used to determine the correlation between the two variables on your graph.

b) Describe the type of correlation between the two variables on your graph. How do you know?

c) Does the correlation between the variables imply causation? Explain.

d) How do you calculate the residuals for a scatterplot?

e) Calculate the residuals for your scatterplot in step 2d.

f) Create a residual plot for your data.

g) Does your residual plot show that the linear model from the regression calculator is a good model? Explain your reasoning.

Graph&data are attached

Answers

Answer:

Kindly check explanation

Step-by-step explanation:

Given the data showing the relationship between GPA and hours of study :

From the regression model given :

Regression equation is:

y = 0.141x + 1.096

Also, the regression Coefficient, R = 0.957

a) Describe how the line of best fit and the correlation coefficient can be used to determine the correlation between the two variables on your graph.

From the regression equation, we can infer if the relationship or correlation between the two variables is positive or negative from the value of the slope, a positive slope Value means a positive relationship while a negative slope value means a negative relationship.

The Correlation Coefficient, R also gives the strength of relationship, with values close to - 1 or 1 depicting a strong relationship while positive and negative R values also depictava positive or negative relationship.

Here there is a strong positive relationship between GPA and Hours.

Correlation does not imply causation. Correlation only shows the type of relationship between variables and it does not mean that high GPA values are causes by long hours of study and vice versa.

Helppppp and explain pls and thankyou

Answers

[tex]\displaystyle\ (\sqrt{25x-16} )^2=\ (i)^2 \\\\ 25x-16=-1 \\\\25x=15\\\\\boxed{x=\frac{3}{5}}[/tex]

HELP PLEASE

how do i put this into a piecewise function?

Answers

Answer:

Step-by-step explanation:

2 functions start by making a domain

Function 1: -3≤x<1

Function 2: -1≤x≤1

Now come up with equations

Function 1= x+3

Function 2= 5

Now put it all together

f(x)= x+3 for -3≤x<1 and 5 for -1≤x≤1

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