1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Sliva [168]
2 years ago
6

Find the point-slope equation for the line

Mathematics
1 answer:
Akimi4 [234]2 years ago
8 0

Answer:

work is shown and pictured

You might be interested in
40 POINTS HELP ME PLEASE!
melomori [17]

Answer:

the ones are options 2 and 3

4 0
3 years ago
Read 2 more answers
Polynomial expressions with matching​
yuradex [85]

Answer:

The difference of 27x³ and 8y³ → [3x - 2y][9x² + 6xy + 4y²]

The difference of 27x³ and 64y³ → [3x - 4y][9x² + 12xy + 16y²]

The sum of 27x³ and 64y³ → [3x + 4y][9x² - 12xy + 16y²]

The sum of 27x³ and 8y³ → [3x + 2y][9x² - 6xy + 4y²]

Step-by-step explanation:

For the first two, we use the Difference of Cubes [(a³ - b³)(a² + 2ab + b²)] first by taking the cube root of the given expression to get our first factor[s]:

\displaystyle 3x - 2y = \sqrt[3]{27x^3 - 8y^3} \\ 3x - 4y = \sqrt[3]{27x^3 - 64y^3}

Then, use the acronym of SOAP {whether the next operations symbols will be negative or positive [SAME (your cube-rooted factor has an IDENTICAL OPERATION SYMBOL as your given expression), OPPOSITE (the first sign in your second factor in the second set of parentheses will be the opposite of what the sign in your given expression, which will be a plus sign), ALWAYS POSITIVE (the last sign in your second factor in the second set of parentheses will ALWAYS stay positive NO MATTER WHAT)]} to get the second factor:

Given: 27x³ - 64y³

[3x - 4y][9x² + 12xy + 16y²]

↑ ↑ ↑

same as opposite ALWAYS POSITIVE

given of given

Given: 27x³ - 8y³

[3x - 2y][9x² + 6xy + 4y²]

↑ ↑ ↘

same as opposite ALWAYS POSITIVE

given of given

Now, for the last two, we use the Sum of Cubes [(a³ + b³)(a² - 2ab + b²)] first by taking the cube root of the given expression to get our first factor[s]:

\displaystyle 3x + 2y = \sqrt[3]{27x^3 + 8y^3} \\ 3x + 4y = \sqrt[3]{27x^3 + 64y^3}

Then, use the acronym of SOAP {whether the next operations symbols will be negative or positive [SAME (your cube-rooted factor has an IDENTICAL OPERATION SYMBOL as your given expression), OPPOSITE (the first sign in your second factor in the second set of parentheses will be the opposite of what the sign is in your given expression, which will be a minus sign), ALWAYS POSITIVE (the last sign in your second factor in the second set of parentheses will ALWAYS stay positive NO MATTER WHAT)]} to get the second factor:

Given: 27x³ + 64y³

[3x + 4y][9x² - 12xy + 16y²]

↑ ↑ ↘

same as opposite ALWAYS POSITIVE

given of given

Given: 27x³ + 8y³

[3x + 2y][9x² - 6xy + 4y²]

↑ ↑ ↘

same as opposite ALWAYS POSITIVE

given of given

I am delighted to assist you anytime!

* As you can see, when using the <em>Difference\Sum of Cubes</em>, SOAP can vary depending on how an expression is given to you. They resemble each other though.

6 0
2 years ago
Write an equation for a rational function with:
katrin [286]

Answer:

Step-by-step explanation:

Write an equation for a rational function with: Vertical asymptotes at x = 4 and x = -6 x-intercepts at x = -5 and x = 3 y-intercept at 7

3 0
2 years ago
How do i find the inverse function of h(x) =(5-2x^2)/(3x+10)
sergeinik [125]
Inverse function: you need to exchange the position of x and y, in other words,

x = (5-2y^2)/(3y+10) , then, if you need a representation of y with respect to x, then you need to perform some math.
5 0
3 years ago
Buchanan corp. is refunding $10 million worth of 10% debt. the new bonds will be issued for 8%. The corporation's tax rate is 35
Alik [6]
The net cost of call premium can be calculated considering the total amount after taxes deductions times the percentage of the call premium.

Writing the percentage as a decimal number, we get:

10000000 × (1 - 0.35) × 0.09 = 585000

The <span>net cost of the call premium after taxes is 585000$.</span>

5 0
2 years ago
Other questions:
  • Pam has 45 sets of clips She puts them way in groups of many different can Pom put away her clips?
    11·1 answer
  • What is the step by step and answer
    7·1 answer
  • Need help with number 3 &amp; 5 please .
    8·1 answer
  • What is another way to write 49*12? 1. 50*10<br> 2. 50*10+2<br> 3. 50*12-12 <br> 4. 50+12-12
    7·1 answer
  • A dinosaur fossil is 93,550,000 years old. How can you express this age in scientific notation
    15·2 answers
  • Who knows what the emory college costs
    9·1 answer
  • please help me with this i asked last time but it didn’t some the important stuff so i’m just putting a picture ^
    8·1 answer
  • BÉ is an angle bisector of ZABC.
    11·1 answer
  • Which point is the centroid of the triangle?
    8·1 answer
  • If x = 3 and y = 25, what is the value of (xy )0?
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!