1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
nikklg [1K]
3 years ago
5

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.

You might be interested in
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

<em><u>Solution:</u></em>

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

<em><u>Here in the given sequence</u></em>

\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}

<em><u>Let us find the difference between terms</u></em>

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

5 0
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
Other questions:
  • What is -40/-63 simplified?
    11·1 answer
  • 0.084 times 0.584 how do you work this problem out
    12·1 answer
  • A triangle has two sides that are perpendicar. Could the triangle be isosceles,epuilateral, or scalene?
    5·2 answers
  • Oliver is determining the number of cats in his math class. Oliver is collecting what kind of data?
    13·2 answers
  • (a) When 4 is added to three times of a number, the answer is the same as subtracting 2 from the number. What is the number?​
    13·1 answer
  • A smartphone costs ​$120. Sales tax is 5​%. What is the total​ cost, including​ tax?
    14·1 answer
  • 3x+8-X=57-4<br> Is 7 a solution to the question
    15·2 answers
  • A line has a slope of 10 and passes through the point (0, 7). What is its equation in slope intercept form?
    14·2 answers
  • True or False: x is the same/equal to 1x
    5·1 answer
  • PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA POINTS*.. <br> IM GIVING 40 POINTS !! DONT SKIP :((.
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!