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sladkih [1.3K]
3 years ago
9

Solve each of these equations. Explain or show your reasoning.

Mathematics
1 answer:
defon3 years ago
4 0

Answer: Answers are in the pictures

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Directions : Factor each of the following Differences of two squares and write your answer together with solution​
N76 [4]

\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) }}

__________________

<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)

Reorder the terms.

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

__________________

<h3><u>3. 81 - c²</u></h3>

\sf \: 81 - c ^ { 2 }

Rewrite 81-c²as 9²-c². 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(9-c\right)\left(9+c\right)

Reorder the terms.

\boxed{ \boxed{ \bf\left(-c+9\right)\left(c+9\right) }}

__________________

<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

Rewrite m²n² - 1 as \sf\left(mn\right)^{2}-1^{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(mn-1\right)\left(mn+1\right) }}

4 0
3 years ago
Read 2 more answers
Please help asap!!!!!!!!!!!
Aleksandr-060686 [28]

Answer:

ITS C THE ANSWER IS C

Step-by-step explanation:

5 0
3 years ago
Can you help me in this question
Andre45 [30]

9514 1404 393

Answer:

  the correct choice is marked

Step-by-step explanation:

The elements are 1, 4, {4}, {9}. That is, any subset that includes 1 must include it without braces. Any subset that includes 9 must include it with braces.

  {4, {9}, 1} is a subset of A

6 0
3 years ago
The cost of a parking permit consists of a one-time administration fee plus a monthly fee. a permit purchased for 12 months cost
julsineya [31]

let

x--------> the monthly fee

y--------> the administration fee

we know that

660=y+12x --------> equation 1

810=y+15x --------> equation 2

Multiply by -1 equation 1

-660=-y-12x ------> equation 3

Adds equation 2 and equation 3

810=y+15x\\-660=-y-12x\\---------\\   810-660=15x-12x\\ 3x=150\\ x=50\ dollars

Find the value of y

660=y+12x\\ 660=y+12*50\\ y=660-600\\ y=60\ dollars

therefore

the answer is

the administration fee is equal to 60\ dollars

4 0
3 years ago
Read 2 more answers
Evaluate to earn 10 points and brainliest
Helga [31]

Answer: -8

Step-by-step explanation:

if y=6x+(-2),  than y= 6x-2

if x=-1 we will replace x with this value

y=6(-1)-2=-6-2=-8

5 0
3 years ago
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