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3 years ago

For any integers x and y ,|x+y|=|x|+|y| Ture or False

Mathematics

1 answer:

Nutka1998 [239]3 years ago

7 0

Answer:

yes because |x+y|=|x|+|y| is just the same equation just splitting the numbers

They both are the same absolute value equation

Step-by-step explanation:

|x+y|=|x|+|y|

x+y=|x|+|y|

x+y=x+y

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The sum of 3 consecutive odd numbers is 177. What is the value of the smallest number in the sequence

riadik2000 [5.3K]

Ok this is a very question that can solved very easily. So we know that there three numbers, and they are consecutive, this means that they are all one bigger than the number before so for example 1,2, and 3 or 20, 21, and 22. These numbers are called consecutive. Now let's just pretend that the answer to this question is the variable "x". Now x is the smallest number in all the three numbers.

Using our knowledge of consecutive numbers we can say that the next to numbers will be one more than the number before so:

(x+1) and (x+2)

So we have our three numbers: x , x+1 , and x+2. Now let's set these numbers equal to 177.

177 = x + x + 1 + x + 2 → Combine like terms.

177 = 3x + 3 → Subtract 3 from both sides.

174 = 3x → Divide both sides by 3

58 = x

So that means that our first and smallest number is going to be 58 our second number will be +1 so 59 and our third number will be +2 so 60.

So the three numbers will be 58, 59, and 60.

Hope this helped.

4 0

3 years ago

Please help will vote brainliest. Due soon please

egoroff_w [7]

They are similars because If you see the picture

7 0

3 years ago

Three students were given the expression shown to simplify.

masya89 [10]

-21x+31 this is the answer you were looking for

7 0

3 years ago

HELP ASAP question 5!!!

AnnyKZ [126]

Step-by-step explanation:

Total area of merged figure = area of vertical rectangle + area of horizontal rectangle.

$\therefore \: 3x(2x - 7) + (3x + 4)x = 85 \\ \\ \therefore \: 6 {x}^{2} - 21x+ 3 {x}^{2} + 4x = 85 \\ \\ \therefore \: 6 {x}^{2} + 3 {x}^{2} - 21x + 4x - 85 = 0 \\ \\ \huge \red {\boxed {\therefore \: 9 {x}^{2} - 17x - 85 = 0}} \\ hence \: proved.$

8 0

3 years ago

Read 2 more answers

Part 1

Dmitrij [34]

Answer:

a) A n (B' n C') = {3, 9}.

b) (AUB) n (BUC) = {2,4,5,6,7,8}

Step-by-step explanation:

a) Rewriting C ; C = {4,5,6,7,8}

B' = {3,5,7,9} and C' = {2, 3, 9}

so (B' n C') = {3, 9}

and A n (B' n C') = {3, 9}.

b) {A U B} = { 2,3,4,5,6,7,8,9} and {B U C} = {2,4,5,6,7,8}

so (AUB) n (BUC) = {2,4,5,6,7,8}

4 0

3 years ago