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miv72 [106K]
3 years ago
7

Is the greatest common factor of any two even numbers always even

Mathematics
2 answers:
Rus_ich [418]3 years ago
5 0
Yes, the gcf of even numbers would always be even because both of the numbers are divisible by 2 which makes 2 a factor of both the numbers, so the gcf should be even too.<span />
ivanzaharov [21]3 years ago
4 0
Yes becaus any even numbers can be represented as 2n where n is an integer

so 2n and 2m where m and n aer both integers
they both have 2 as a factor so that will be included in finding the greatest common factor
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Assume all variables represent non negative numbers . Help please!!
Dafna1 [17]

Answer:

A). 2p^{8}

B). 3m^{7}

Step-by-step explanation:

A). \sqrt{4p^{16}}

    To get the square root of the given expression we will convert it into the square form.

4p^{16}=(2)^2(p^{8})^2 [Since 2×2 = 4 and p^{8}\times p^{8}=p^{16}]

Therefore, \sqrt{4p^{16}}=\sqrt{2^{2}\times (p^{8})^2 }

                             =2p^{8}

B). \sqrt{9m^{44}}

    Since, 9m^{14}=(3)^2\times (m^7)^2

    Therefore,  \sqrt{9m^{44}}=\sqrt{(3)^2\times (m^7)^2} [Since 3² = 9 and (m⁷)² = m¹⁴]

                                   =3m^{7}

7 0
3 years ago
Find the difference
s2008m [1.1K]

Answer:

The answer is 1/3x-1

Step-by-step explanation:

Let's simplify step-by-step.

5/6x−7−(1/2x−6)

Distribute the Negative Sign:

=5/6x−7+−1(1/2x−6)

=5/6x+−7+−1(1/2x)+(−1)(−6)

=5/6x+−7+−1/2x+6

Combine Like Terms:

=5/6x+−7+−1/2x+6

=(5/6x+−1/2x)+(−7+6)

=1/3x+−1

Answer:

=1/3x−1

7 0
3 years ago
Factor completely: 16x2 − 81 A. (4x + 9) (4x − 9) B. 16x2 − 81 C. (4x + 9) (4x + 9) D. (4x2 + 9) (4x2 − 9)
ch4aika [34]

Answer:

A. (4x + 9) (4x − 9) is the correct answer.


6 0
3 years ago
I don’t know how to solve this it’s exponents.
matrenka [14]

Answer:

9^6

Step-by-step explanation:

When dividing exponents with the same base, we subtract the exponents

a^b/ a^c = a^(b-c)

9^11/9^5 = 9^(11-5)

              = 9^6

4 0
3 years ago
What is the distance between the points (2, 5) and (5,7)?
Svetlanka [38]

Answer:

\sqrt{13}

Step-by-step explanation:

The distance formula that gives the distance between two points is given as:

d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

Plugging in our given points, we get:

d=\sqrt{(5-2)^2+(7-5)^2},\\d=\sqrt{3^2+2^2},\\d=\sqrt{9+4},\\d=\fbox{$\sqrt{13}$}.

6 0
2 years ago
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