For any two integers a and b, (a + b)2 = a2 + b?
true or false

Answers

Answer 1

Answer:

False.

Step-by-step explanation:

Using the property of distribution, (a + b)² will be a² + b², never a² + b.

Answer 2

No, for any two integers a and b, (a + b)² ≠ a² + b is a false statement.

What is termed as the distributive property of multiplication?Multiplication's distributive property allows you to simplify expressions in which you multiply a number by the a sum or difference. This property states that the product of a sum or difference of two numbers is equal to the sum as well as difference of the products. When you multiply a value by a sum, the distributive property of multiplication over addition is used.

For the given two integers a and b,

The given expression

(a + b)² = a² + b (false statement)

The correct statement is-

(a + b)² = (a + b)(a + b)

(a + b)² = a² + b² +  2ab

Thus, no, for any two integers a and b, (a + b)² ≠ a² + b.

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Related Questions

Just got back to class after summer, brain needs some refreshing.

Answers

The domain is the x-values used by the graph.
The range is the y-values used by the graph.

With respect to the x-axis, the graph starts at 0 on the left and goes as far as x=15.
With respect to the y-axis, the graph starts as low as 0 (vertically) and goes as high as 75.

The range is 0≤x≤15.
The domain is 0≤y≤75.

Find the measures of the indicated angles pictures included!!!

Answers

Answer:

25

Step-by-step explanation:

The angles b and 65 are complementary, meaning they sum to 90 degrees. You know this because those 2 angles and the right angle are sitting on a straight line. So, together they equal 180 and 180-90 is 90. Therefore, angle b+65 must equal 90. So, simply subtract 65 from 90 to get the answer, 25.

Need help with number 5 ASAP.

Answers

Answer:

A) ahead 1 space

Step-by-step explanation:

2-3 = -1

-1-2 = -3

-3+4= 1

A) Ahead 1


EXPLANATION:
2 - 3 - 2 + 4= 1

how do you solve x/4+7=-2

Answers

[tex] \huge \boxed{\mathfrak{Question} \downarrow}[/tex]

How do you solve x/4+7 = -2

[tex] \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}[/tex]

[tex] \large \sf \frac{x }{4} + 7 = - 2 \\ [/tex]

Multiply both sides of the equation by 4.

[tex] \large \sf \: x+28=-8 [/tex]

Subtract 28 from both sides.

[tex] \large \sf \: x=-8-28 [/tex]

Subtract 28 from -8 to get -36.

[tex] \large \boxed{ \bf \: x=-36 }[/tex]

Perform the indicated operations. Write the answer in standard form, a+bi.
-5-7i / 13+4i

Answers

Answer:

[tex]thank \: you[/tex]

Share £18 into the ratio 1:5

Answers

Ratio= 1:5
Total parts = 1+5 = 6

1/6 * 18 = £3
5/6 * 18 = £15

Help geometry need help

Answers

3 is the answer. The missing piece is 3

Solve for x and show work I will mark brainlyest


3(x-2) + 7 = 2(x+5)

Answers

Answer:

Step-by-step explanation: please do mark as brainliest

10. In a 2 hour Mathematics paper, there are
20 questions to be answered by Yao. After
1 hour he had answered 5 questions.
b) What fraction of the time had gone?

Answers

Answer:

1/2

Step-by-step explanation:

1 hour=60 minutes

2 hours=120 minutes

60/120=1/2

hope you got it

If you have any problem just ask me

If you think this is the best answer please mark me as brainliest

After 1 hour, Yao had completed 25% (1/4) of the 2-hour Mathematics paper.

In order to understand the fraction of time Yao had spent on the Mathematics paper after 1 hour, let's break down the problem. Yao was given a 2-hour Mathematics paper to complete, and he answered 5 questions in the first hour.

Now, let's calculate the fraction of time that had passed. To do this, we can set up a ratio of the time Yao had spent to the total time available. The time Yao spent is 1 hour, and the total time available is 2 hours. So the fraction of time that had gone can be represented as:

= Time spent / Total time

= 1 hour / 2 hours

= 1/2

Therefore, after 1 hour, Yao had completed half of the allotted time. However, we are asked to express this fraction in terms of questions answered. Yao had answered 5 questions out of a total of 20 questions.

To express the fraction of time in terms of questions answered, we can set up another ratio. The questions Yao answered is 5, and the total number of questions is 20. So the fraction of time that had gone can be represented as:

= Questions answered / Total questions

= 5 questions / 20 questions

= 1/4

Hence, after 1 hour, Yao had completed 1/4 of the total questions in the Mathematics paper. This means he still had 3/4 (or 75%) of the questions to complete in the remaining hour.

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Please help! You don’t have to explain how you got the answer! Tysm.

Answers

1.) .777777778
2.) .8
3.) .6
4.) .285714286
5.) .15

Which inequality is true? ​

Answers

C, because π ≈ 3,14 so 9π = 9 · 3,14 = 28,26 > 27

C is the true one because it’s has pie

what is the anwser to this on the number line 7 - 6y > 19

Answers

Answer:

y < -2

Step-by-step explanation:

7 - 6y > 19

Subtract 7 from each side

7-7 - 6y > 19-7

-6y > 12

Divide each side by -6. remembering to flip the inequality

-6y/-6 < 12/-6

y < -2

Ok my question is What is the missing number in the pattern above?
7,680 , 1,920, ______ , 120 , 30 ?
and my options are : A. 210 B. 480 C. 900 D. 1,440

Answers

answer is option B 480 because it is getting reduced by 4 times at Evey step

Answer:

30*4=120

120*4=480

answer=480

Step-by-step explanation:

Damon works 32 hours per week and earns $10.75 per hour.

a. Estimate his weekly earnings. Explain how you determined

your estimate.

b. Find the exact amount he earns per week.

c. Is your answer reasonable based on your estimate? Explain.

u will be awarded brainlest if u answer this correctly.

Answers

A 340
B 10.75 times 32 is 344$
C they are both close

Lee weighs 130 4/5 pounds. He lost 5.2 pounds then gained 3 pounds. What is Lee's
current weight? Write an expression and solve.

Answers

Answer:

128.6 pounds

Step-by-step explanation:

130 4/5 - 5.2 + 3

=, 128.6pounds

someone help me please

Answers

Answer:

8

if u look closely,triangle abc has 4 identical triangle def in it.

Kayla found the difference of 32 and 18. What is the difference?

Answers

Step-by-step explanation:

Just Subtract

32-18

14 Answer

Answer:

Answer is 14

Step-by-step explanation:

If you like my answer than please mark me brainliest thanks

The teacher plans to buy pillowcases for his students. Each student needs 55 cm of material and there are 83 students. how many does the teacher need to buy for his students ??? ​

Answers

Answer:

4565 cm

Step-by-step explanation:

55 * 83

Is 28 an integer, rational, or an irrational number?

Answers

Answer:

integer

Step-by-step explanation:

please give brainliest

Answer:

28 is an integer and a rational number because it is a whole number and it is positive. if there is only one choice, choose rational.

Step-by-step explanation:

hope this helps!

A man is three times as old as his son in 10 years time their combined ages will be 68 how old is each person now person now​

Answers

Answer:

The dad is 36 and the son is 12

is -15 an integer and rational number?​

Answers

Answer:

I guess it would help you

i hope this helps i’m not to sure if it is a integer or a rational number

1+sinx+cosx/1+sinx-cosx=1+cosx/sinx help pls by proving

Answers

Answer:

Below.

Step-by-step explanation:

I'll  write sin x as s and cos x as c so we have:

(1 + s +c)/(1 + s - c) = (1 + c)/s

Cross multiplying:

s + s^2 + cs  = 1 + s - c + c + cs - c^2

s  + s^2 + cs = 1 + s + cs - c^2

s^2 + c^2 + s - s + cs - cs = 1

s^2 + c^2 = 1.

- that is sin^2 x + cos^2 x = 1 which is a known identity.

Therefore the original identity is proved.

-124 = -7(5x+ 6)- 6x how do I solve this

Answers

Answer:

Step-by-step explanation:

-124 = -7(5x+ 6)- 6x                     Remove the brackets

-124 = -35x - 42 - 6x                   Combine like terms

-124 = -41x - 42                          Add 42 to both sides

-124+42 = - 41x                          Combine

-82 = - 41x

-82/-41 = x

x = 2

One of the two equal factors of a number is a _______?​

Answers

Answer:

A square root

Step-by-step explanation:

A square root is one of two equal factors of a number.

Find the 14th term of the geometric sequence 5, -10, 20, ...5,−10,20,

Answers

Answer:

40,960

Step-by-step explanation:

To find the multiplier, set up an equation like this:

[tex]5x=-10[/tex]

The above equation will allow us to find what number, when multiplied with 5 will result in -10. If we divide both sides of the equation by 5, we'll find that the number, x, is -2:

[tex]x=-2[/tex]

We need to find the 14th term. To do this, simply multiply the lattermost number in the sequence by our multiplier, -2.

[tex]20*(-2)=40[/tex]

Since 5 is the first term in the sequence, -10 is the second term in the sequence, and 20 is the third term in the sequence, 40 is the fourth term. Now we just need to find the next ten so that we can find the 14th term. To do that, repeat the process of multiplying the lattermost number by -2 ten more times:

[tex]40*-2=-80\\-80*-2=160\\160*-2=-320\\-320*-2=640\\640*-2=-1280\\-1280*-2=2560\\2560*-2=-5120\\-5120*-2=10240\\10240*-2=-20480\\-20480*-2=40960[/tex]

Therefore, the 14th term is 40,960.

Answer:

-40,960

Step-by-step explanation:

you have to add the negative because there partners in crime

What is the mean of the data set: 12. 19, 38, 52. 55 Answer must be to the tenths
place to be counted correct.

Answers

[tex]\boxed{\sf Mean=\dfrac{Sum\:of\:terms}{No\:of\:terms}}[/tex]

[tex]\\ \sf\longmapsto Mean=\dfrac{12+19+38+52+55}{5}[/tex]

[tex]\\ \sf\longmapsto Mean=\dfrac{176}{5}[/tex]

[tex]\\ \sf\longmapsto Mean=35.2[/tex]

2x^2-y if x=3 and y=8

Answers

Answer:

= 10

Step-by-step explanation:

x = 3

y = 8

just replace that x and y with the values given

[tex]2x^{2}[/tex] - y

2 ([tex]3^{2}[/tex]) - 8

2 (9) -8

18 - 8

= 10

The answer is 10
Because of PAMDAS you do 3 to the second power first which equals 9. 9x2 is 18. And then 18 - 8 = 10. In all, You just plug x and y in and then solve by PAMDAS.

Angle A is three times the size of angle B.
The sum of the angle measures is 128 degrees.
What is the measure of angle A?
O 32 degrees
O 90 degrees
O 96 degrees
O 30 degrees

Answers

First, let's declare our variables

B = x+2

A = 3(x+2)

Now, let's create our expression.

A + B = 128

Plug in the values for A and B

x+2 + 3(x+2) = 128

We need to solve for x. Start off by simplifying the left side.

x+2 + 3x + 6 = 128

Combine like terms.

4x + 8 = 128

Subtract 8 from both sides.

4x = 120

Divide both sides by 4

x = 30

B = x+2 = 30 + 2 = 32 degrees

A = 3(x+2) = 3(30+2) = 3(32) = 96 degrees

A copy machine makes 44 copies per minute. How long does it take to make 187 copies

Answers

It will take 4 minutes and 15 seconds, to make 187
187 / 44 = 4.25
60 seconds per minute / .25 (4) = 15 seconds
So, 4 minutes and 15 seconds (4.25 minutes) is how long it will take to make 187 copies

Factorise : a²+b²-c²+2ab​

Answers

Answer:

Step-by-step explanation:

a²+b²-c²+2ab

=a²+b²+2ab-c²

=(a+b)²-c²

=(a+b+c)(a+b-c)

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