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3 years ago

Find the greatest common factor of the terms in the following expression 18x+12xy

Mathematics

1 answer:

Anarel [89]3 years ago

8 0

<h3>Answer: 6x</h3>

=============================================

Explanation:

Ignoring the variables for now, the GCF of 18 and 12 is 6. This is the largest factor found in both values

18 = 6*3
12 = 6*2

Now let's consider the variables. Both terms have an 'x' in them, but not a y. This means x will be tacked on the 6 we found earlier to get the overall GCF to be 6x.

Note how

18x + 12xy = 6x*3+6x*2y = 6x(3+2y)

Showing we can factor out the GCF using the distributive property.

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What is the greatest common factor for 840 and 440

Leni [432]

.........................It is 40.

5 0

3 years ago

Is 1/3, 2/3, 4/3, 8/3, 16/3 arithmetic sequence

11111nata11111 [884]

The given sequence is not arithmetic sequence

Solution:

Given sequence is:

$\frac{1}{3} , \frac{2}{3} , \frac{4}{3} , \frac{8}{3} , \frac{16}{3}$

We have to find if the above sequence is arithmetic sequence or not

An arithmetic sequence is a sequence of numbers such that the difference of any two successive members of the sequence is a constant

Here in the given sequence

$\text{ first term } = a_1 = \frac{1}{3}\\\\\text{ second term } = a_2 = \frac{2}{3}\\\\\text{ third term } = a_3 = \frac{4}{3}\\\\\text{ fourth term } = a_4 = \frac{8}{3}\\\\\text{ fifth term } = a_5 = \frac{16}{3}$

Let us find the difference between terms

$a_2 - a_1 = \frac{2}{3} - \frac{1}{3} = \frac{1}{3}$

$a_3 - a_2 = \frac{4}{3} - \frac{2}{3} = \frac{2}{3}$

$a_4 - a_3 = \frac{8}{3} - \frac{4}{3} = \frac{4}{3}$

$a_5 - a_4 = \frac{16}{3} - \frac{8}{3} = \frac{8}{3}$

Thus the difference between terms is not constant

So the given sequence is not arithmetic sequence

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3 years ago

List the domain and range if the relation {(0,2),(4,3),(5,5),(4,7)}

lyudmila [28]

(x,y)

domain is inputs (normally x or first number)
range is outputs from the given domain (normally y or second number)

domain is just all the first numbers
range is all the second numbers
ignore repeats

domain: {0,4,5}
range: {2,3,5,7}

5 0

3 years ago

Read 2 more answers

I needed help but then i found the answer

Alenkinab [10]

1/2 × 5 2/3 × 3 = 5

the 2's cancel giving you 5 × 1/3 × 3

then the 3's cancel giving you 5 × 1

and 5 × 1 is 5.

4 0

2 years ago

5) Establish the indentity (cot + tan ) sin = sec . Show each step to justify your conclusion.

katen-ka-za [31]

Answer:

Step-by-step explanation:

Identities : -

cot = cos / sin

tan = sin / cos

( cot + tan ) sin = sec

LHS

= ( cot + tan ) sin

= ( ( cos / sin ) + ( sin / cos ) ) sin

= ( ( cos sin ) / sin ) + ( sin² / cos )

= cos + ( sin² / cos )

LCM = cos

= ( cos² / cos ) + ( sin² / cos )

= ( cos² + sin² ) / cos

Identity : -

cos² + sin² = 1

= 1 / cos

= sec

= RHS

Hence proved.

3 0

3 years ago

Find the greatest common factor of the terms in the following expression 18x+12xy​

Find the greatest common factor of the terms in the following expression 18x+12xy