Which injury would most likely result in the separation of muscle and bone that were once connected?
a torn tendon
a blocked trachea
a ruptured spleen
a broken blood vessel
Answer:
A
Explanation:
:)
For the expression:
(9x^2 + 4y^2 -12xy) / (4y^2 - 9x^2)
Find the domain
Find the domain of the simplified expression
The domain of an expression is the set of input values the expression can take
The domain of the expression is [tex]y \ne 1.5x[/tex]The domain of the simplified expression is [tex]y \ne -1.5x[/tex](a) The domain of the expression
The expression is given as:
[tex]\frac{(9x^2 + 4y^2 - 12xy)}{(4y^2 - 9x^2)}[/tex]
Set the denominator to 0, to determine the domain
[tex](4y^2 - 9x^2) = 0[/tex]
Remove brackets
[tex]4y^2 - 9x^2 = 0[/tex]
Add 9x^2 to both sides
[tex]4y^2 = 9x^2[/tex]
Divide both sides by 4
[tex]y^2 = 2.25x^2[/tex]
Take positive square roots of both sides
[tex]y = 1.5x[/tex]
Hence, the domain of the expression is [tex]y \ne 1.5x[/tex]
(b) The domain of the simplified expression
The expression is given as:
[tex]\frac{(9x^2 + 4y^2 - 12xy)}{(4y^2 - 9x^2)}[/tex]
Rewrite as:
[tex]\frac{(9x^2 + 4y^2 - 12xy)}{(4y^2 - 9x^2)} = \frac{(9x^2 - 12xy+ 4y^2 )}{((2y)^2 - (3x)^2)}[/tex]
Expand the numerator
[tex]\frac{(9x^2 + 4y^2 - 12xy)}{(4y^2 - 9x^2)} = \frac{(9x^2 - 6xy - 6xy+ 4y^2 )}{((2y)^2 - (3x)^2)}[/tex]
Factorize the numerator
[tex]\frac{(9x^2 + 4y^2 - 12xy)}{(4y^2 - 9x^2)} = \frac{3x(3x - 2y) - 2y(3x- 2y )}{((2y)^2 - (3x)^2)}[/tex]
Factor out 3x - 2y
[tex]\frac{(9x^2 + 4y^2 - 12xy)}{(4y^2 - 9x^2)} = \frac{(3x - 2y)(3x- 2y )}{((2y)^2 - (3x)^2)}[/tex]
Express the denominator as a difference of two squares
[tex]\frac{(9x^2 + 4y^2 - 12xy)}{(4y^2 - 9x^2)} = \frac{(3x - 2y)(3x- 2y )}{(2y - 3x)(2y + 3x))}[/tex]
Rewrite as:
[tex]\frac{(9x^2 + 4y^2 - 12xy)}{(4y^2 - 9x^2)} = \frac{-(2y - 3x)(3x- 2y )}{(2y - 3x)(2y + 3x))}[/tex]
Cancel out the common term
[tex]\frac{(9x^2 + 4y^2 - 12xy)}{(4y^2 - 9x^2)} = \frac{-(3x- 2y )}{(2y + 3x)}[/tex]
Set the denominator to 0, to determine the domain
[tex]2y + 3x= 0[/tex]
Subtract 3x from both sides
[tex]2y= -3x[/tex]
Divide both sides by 2
[tex]y= -1.5x[/tex]
Hence, the domain of the simplified expression is [tex]y \ne -1.5x[/tex]
Read more about domain at:
https://brainly.com/question/10197594
Explanation:
Domain: y does not equal 1.5x and y does not equal -1.5x
Simplifies domain: y does not equal -1.5x
On December 31, 2018, Country Living Sales has 10-year Bonds Payable of $89,000 and Discount on Bonds Payable of $2350. How will this be shown on the December 31, 2018 Balance Sheet?
Answer:
87,650
Explanation:
It would look like this because you subtract,
Which of the following is not an implication of large U.S. trade deficits?
U.S. productivity is falling.
O
Deficits cause the U.S. dollar to depreciate.
O
The nation must consume within its production possibilities curve.
O
All of these are implications of large trade deficits.
Answer:
All of these are implications of large trade deficits.
Deficits lead the US dollar to weaken, productivity to plummet, and the nation must spend within its production possibilities curve, all of which are consequences of big US trade deficits. Option D is correct.
What is the trade deficits?A trade deficit, also known as a negative balance of trade, occurs when a country spends more money than it earns in international commerce with the rest of the world.
U.S. productivity is falling, The nation must consume within its production possibilities curve. Deficits weaken the US dollar, reduce productivity, and force the country to spend inside its production possibilities curve, all of which are effects of large US trade deficits.
When a country purchases more than it sells, it has a trade imbalance. In other terms, a trade imbalance occurs when a country buys more than it exports.
Therefore, option D is correct.
Learn more about the trade deficits, refer to:
https://brainly.com/question/3386453
#SPJ2
Which of the following rocks is likely to exfoliate?
Shale
Slate
Igneous
All of the above
Answer:
All of them
Explanation:
They all have a good chance of breaking up after being weathered
The equation 3x + 2 = 29 is modeled below.
On a test where the scores are normally distributed, approximately what percentage of the scores are within two
standard deviations of the mean?
O 20%
O 33%
O 50%
O 68%
0 95%
Question 8 of 10
You are paid a wage based on the number of hours you work multiplied by the
per hour.
A. rate
B. times
c. speed
D. number
SUBMIT
In the year 2014, how much money in sales did Wal-Mart make?
Answer: In the year 2014, Walmart made more than $279 billion, an increase of $5 billion, or 1.8 percent, from last year.
Explanation:
In the 1920s which united states action furthered the goal of international peace