All categories

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.

You might be interested in

-What is the future value of a $1,000 annuity payment over five years if interest rates are 9 percent?

Flauer [41]

Answer:

9% = 450

10% = 500

8% = 400

Step-by-step explanation:

6 0

3 years ago

if three force are acting on a body and they are in equilibrium if force 1 is 1200N at 51.3 degree and force 2 is 1400N at 42 de

Vedmedyk [2.9K]

Tvtvvrtbtbbtb b trbbbAnswer:

Btrreqrveq

4 0

3 years ago

Please help with Algebra

mina [271]

Answer:

C) 6

Step-by-step explanation:

I converted the equation into slope-intercept form and then identified the y-intercept.

$4x+2y=12\\\\4x-4x+2y=12-4x\\\\2y=12-4x\\\\\frac{2y=12-4x}{2}\\\\ y=6-2x\\\\y=-2x+6\\\\y=-2x+\boxed{6}$

C should be the correct answer.

Hope this helps.

3 0

3 years ago

Read 2 more answers

6. You and your family went to a restaurant and the bill came to $120. You decide to

ivann1987 [24]

Answer:

Step-by-step explanation:

18 percent of 120 is 21.6

6 0

3 years ago

Read 2 more answers

Rearrange w= 3(2a + b) - 4 to make a the subject

Angelina_Jolie [31]

Answer:

$\boxed{a = \frac{w}{ 6} - \frac{b}{2} + \frac{2}{3} }$

Step-by-step explanation:

$Solve \: for \: a: \\ = > w=3(2a+b)-4 \\ \\ w=3(2a+b)4 \: is \: equivalent \: to \: 3(2a+b)-4= w: \\ = > 3(2a+b) - 4=w \\ \\ Expand \: out \: terms \: of \: the \: left \: hand \: side: \\ = > (3 \times 2a) + (3 \times b) - 4 = w \\ = > 6a+3b - 4=w \\ \\ Subtract \: 3b - 4 \: from \: both \: sides: \\ = > 6a + 3b - 4 - (3b - 4)=w - (3b - 4) \\ = > 6a = w - 3b + 4 \\ \\ Divide \: both \: sides \: by \: 6: \\ = > \frac{ \cancel{6}a}{ \cancel{6}} = \frac{w - 3b + 4}{6} \\ = > a = \frac{w}{6} - \frac{3b}{6} + \frac{4}{6} \\ = > a = \frac{w}{ 6} - \frac{b}{2} + \frac{2}{3}$

8 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