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zavuch27 [327]
3 years ago
12

What is the equation of the line that passes through the point (-5,-6) and has a slope of 3/5?

Mathematics
1 answer:
PtichkaEL [24]3 years ago
5 0

Answer:

y=3/5x-3

Step-by-step explanation:

First, put the slope in point-slope form: y-y1=x(x-x1)

y+6=3/5(x+5)

Distribute 3/5 to (x+5) and simplify.

y+6=3/5x+3

y=3/5x-3

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Which algebraic expression represents the phrase "the quotient of negative eight and the sum of a number and three"
iVinArrow [24]

Answer:

\dfrac{-8}{x+3}

Step-by-step explanation:

We need to find an algebraic expression for the given statement i.e. "the quotient of negative eight and the sum of a number and three".

Let the number be x. Quotient means to divide. It means we need to divide -8 and the sum of x and 3.

So, we can write it as follows :

\dfrac{-8}{x+3}

Hence, this is the required solution.

7 0
3 years ago
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
What is <br><img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B3%7D%7B5%7D%20" id="TexFormula1" title=" \frac{3}{5} " alt=" \frac{3}
Ilia_Sergeevich [38]

Answer:

9

Step-by-step explanation:

3/5 * 15

Rewriting as

3 * 15/5

3 * 3

9

3 0
2 years ago
Read 2 more answers
On Monday, the ABC Company stock was at $12.80 per share. On Tuesday it gained $3.42, and then lost $9.70 on Wednesday. What is
solong [7]

Answer:

Step-by-step explanation:

12.80+3.42= 16.22

16.22-9.70= 6.52 that's your answer

6 0
3 years ago
A scientist is experimenting with bacteria in his laboratory He starts out with 3 bacteria
never [62]
X+1 to the second power
6 0
3 years ago
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