Answer:
False.
Step-by-step explanation:
Using the property of distribution, (a + b)² will be a² + b², never a² + b.
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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Just got back to class after summer, brain needs some refreshing.
Find the measures of the indicated angles pictures included!!!
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.
Answer:
A) ahead 1 space
Step-by-step explanation:
2-3 = -1
-1-2 = -3
-3+4= 1
how do you solve x/4+7=-2
[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
Answer:
[tex]thank \: you[/tex]
Share £18 into the ratio 1:5
Help geometry need help
Solve for x and show work I will mark brainlyest
3(x-2) + 7 = 2(x+5)
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?
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.
Which inequality is true?
C, because π ≈ 3,14 so 9π = 9 · 3,14 = 28,26 > 27
what is the anwser to this on the number line 7 - 6y > 19
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
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.
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.
Answer:
128.6 pounds
Step-by-step explanation:
130 4/5 - 5.2 + 3
=, 128.6pounds
someone help me please
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?
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 ???
Answer:
4565 cm
Step-by-step explanation:
55 * 83
Is 28 an integer, rational, or an irrational number?
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
Answer:
The dad is 36 and the son is 12
is -15 an integer and rational number?
Answer:
I guess it would help you
1+sinx+cosx/1+sinx-cosx=1+cosx/sinx help pls by proving
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
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 _______?
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,
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.
[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
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
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
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
Factorise : a²+b²-c²+2ab
Answer:
Step-by-step explanation:
a²+b²-c²+2ab
=a²+b²+2ab-c²
=(a+b)²-c²
=(a+b+c)(a+b-c)