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likoan [24]
3 years ago
7

Solve the inequality n/-3 + 8 > 6.

Mathematics
1 answer:
yan [13]3 years ago
8 0
-(n/3)+8>6
-n+24>18
-n>-6
n<6
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Line t intersects parallel lines 1 and 2 as shown below.
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Directions : Factor each of the following Differences of two squares and write your answer together with solution​
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\huge \boxed{\mathfrak{Question} \downarrow}

Factor each of the following differences of two squares and write your answer together with solution.

\large \boxed{\mathbb{ANSWER\: WITH\: EXPLANATION} \downarrow}

<h3><u>1. x² - 36</u></h3>

\sf \: x ^ { 2 } - 36

Rewrite \sf\:x^{2}-36 as x^{2}-6^{2}. The difference of squares can be factored using the rule:\sf\: a^{2}-b^{2}=\left(a-b\right)\left(a+b\right).

\boxed{ \boxed{ \bf\left(x-6\right)\left(x+6\right) }}

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<h3><u>2. 49 - x²</u></h3>

\sf \: 49 - x ^ { 2 }

Rewrite 49-x² as 7²-x². The difference of squares can be factored using the rule: \sf\:a^{2}-b^{2}=\left(a-b\right)\left(a+b\right).

\sf \: \left(7-x\right)\left(7+x\right)

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\boxed{ \boxed{ \bf\left(-x+7\right)\left(x+7\right) }}

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<h3><u>3. 81 - c²</u></h3>

\sf \: 81 - c ^ { 2 }

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<h3><u>4</u><u>.</u><u> </u><u>m²</u><u>n</u><u>²</u><u> </u><u>-</u><u> </u><u>1</u></h3>

\sf \: m ^ { 2 } n ^ { 2 } - 1

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\boxed{ \boxed{ \bf\left(mn-1\right)\left(mn+1\right) }}

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