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Evgesh-ka [11]
3 years ago
11

Prove that the difference of two odd integers is even. give a justification at each step.

Mathematics
1 answer:
crimeas [40]3 years ago
5 0
Let a, b be two odd integers. Then both can be written as

a=2k-1, k is an integer
b=2m-1, m is an integer

So,

a-b=2k-1-(2m-1)=2k-2m-2=2(k-m-1)

Since, k and m and 1 are all integers, then (k-m-1) is also an integer. Hence, 2(k-m-1) is an even integer.

Thus, a-b is even.
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All circles are _____ to each other.<br> congruent<br> concentric<br> parallel<br> similar
Katyanochek1 [597]

Answer:

All circles are similar to each other.

Step-by-step explanation:

Given  : All circles are _____ to each other.

To find : Fill the blank .

Solution : We have given Options .

Similar figures : Figures which has the same shape but may have different dimensions.

So ,

All the circles have same shape but may have different radius.

Therefore,  All circles are similar to each other.

8 0
3 years ago
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Write a conditional statement that the Venn Diagram illustrates.
Margaret [11]
<h2>Answer :</h2>

\bf \implies{Set  \: of  \: squares  \:  \leqslant\:  Set  \: of}\bf{ quadrilaterals}

<h2>Step-by-step explanation :</h2>

As we know, that all squares are quadrilateral but its converse is not necessarily true.

\therefore Set of Quadrilaterals is a super set of set of squares.

i.e. set of squares ≤ set of quadrilaterals.

From the picture, we can know that quadrilaterals consists of all the squares and square is a type of quadrilateral. All the squares belong to quadrilaterals, while not all the quadrilaterals belong to squares.

[It's important to have a good understanding of venn diagram as it illustrates the connection between things in it]

3 0
1 year ago
Which of these r-value represents the weakest correlation?
Tanya [424]

Answer:

Option C is correct.

The value of r=0.2 represents  the weakest correlation.

Step-by-step explanation:

Strongest correlation states that a linear relationship is indicated by a correlation coefficient of -1 or 1.

Weakest correlation states that a linear relationship is indicated by a correlation coefficient equal to 0 or if the value is nearest to 0, then it also represents the weakest correlation.

From the options, the only r-value that is very close to 0 is 0.2.

Therefore, the r-value represents the weakest correlation is, 0.2

4 0
3 years ago
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Pythagorean Theorem #2
Nataly_w [17]

Answer:

4 square root 2

Step-by-step explanation:

the pythagorian theorem will look like this: 2^2+b^2=6^2

simpify: 4+b^2=36

get b by itself by subtracting four from each side: b^2=32

take the square root of 32 and simplify: 4sqrt2

6 0
3 years ago
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Ishaan is 3 times as old as Christopher and is also 14 years older than Christopher/10088809/d7a108ae?utm_source=registration
Irina-Kira [14]
X = Ishaan
y = Christopher

3y = x
x = y + 14 Put the first equation into the second.
3y = y + 14
2y = 14
y = 7

Christopher is 7
Ishaan is 21
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4 years ago
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