Simplify 6m2n3 – 3m3n2 + 8m2n3 + 12m3n2

1 answer:

6 0

Hello! Hope I can assist you.

Let us simplify some terms first!

$6m\cdot \:2n\cdot \:3 \ \textgreater \ 36mn$
$3m\cdot \:3n\cdot \:2 \ \textgreater \ 2\cdot \:3^2mn$
$8m\cdot \:2n\cdot \:3 \ \textgreater \ 48mn$
$12m\cdot \:3n\cdot \:2 \ \textgreater \ 72mn$

$36mn-2\cdot \:3^2mn+48mn+72mn$

From here, group like terms
$36mn-2\cdot \:3^2mn+48mn+72mn$

$\mathrm{Add\:similar\:elements:}\:36mn+48mn+72mn=156mn$
$156mn-2\cdot \:3^2mn$

$2\cdot \:3^2mn \ \textgreater \ 2\cdot \:9mn \ \textgreater \ 18mn$

$156mn-18mn$

$\mathrm{Add\:similar\:elements:}\:156mn-18mn=138mn$

Hope this helps!

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What is the slope of a line that contains the point(-5,4) and has a x intercept of -10?

Naddika [18.5K]

Answer:

$\frac{4}{5}$

Step-by-step explanation:

Based on the information given we can say the two points are (-5, 4) and (-10, 0). An x-intercept is where the line crosses the x-axis giving us a y value of 0.

So, we will use the following formula, where m is equal to the slope.

$m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

Now we will plug in the x and y values given above, (-5, 4) and (-10, 0).

$m=\frac{0-4}{-10+5}\\ m=\frac{-4}{-5}\\ m=\frac{4}{5}$

Note: In the denominator of the first line, the -5 was changed to a 5 because in the original equation, we are told to subtract. When you have two negatives they cancel each other out.

Hope this helps! <3

3 0

3 years ago

Lilina takes 4 breaths per 10 seconds during yoga at this rate about how many breaths would Lima take in two minutes of yoga exp

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7 0

3 years ago

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Dahasolnce [82]

Answer:

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