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
Sloan [31]
3 years ago
10

Which of the following are vertical asymptotes of the function y = 2cot(3x) + 4? Check all that apply. A.x = pi/3 B.x = +/- pi/2

C.x = 2pi D.x = 0
Mathematics
2 answers:
Kisachek [45]3 years ago
6 0
Vertical asymptotes occur when the denominator of a rational is 0, whilst not zeroing out the numerator, making the rational, undefined, in this case

\bf y=2cot(3x)+4\implies y=2\cdot \cfrac{cos(3x)}{sin(3x)}+4\impliedby \textit{if \underline{sin(3x)} turns to 0}\\\\
-------------------------------\\\\
\textit{let's check}
\\\\\\
A)\qquad \cfrac{cos(3x)}{sin\left( 3\frac{\pi }{3} \right)}\implies \cfrac{cos(3x)}{sin\left( \pi \right)}\implies \cfrac{cos(3x)}{0}\impliedby unde f ined

\bf B)\qquad \cfrac{cos(3x)}{sin\left( 3\frac{\pm\pi }{2} \right)}\implies\cfrac{cos(3x)}{sin\left( \frac{\pm3\pi }{2} \right)}\implies \cfrac{cos(3x)}{\pm 1}\implies \pm cos(3x)
\\\\\\
C)\qquad \cfrac{cos(3x)}{sin\left( 3(2\pi )\right)}\implies \cfrac{cos(3x)}{sin(6\pi )}\implies \cfrac{cos(3x)}{0}\impliedby unde f ined
\\\\\\
D)\qquad \cfrac{cos(3x)}{sin(3(0))}\implies \cfrac{cos(3x)}{sin(0)}\implies \cfrac{cos(3x)}{0}\impliedby unde f ined
jenyasd209 [6]3 years ago
3 0
Yeah it’s A C D for apex
You might be interested in
Help please please will give brainlist please!!!!!
Vera_Pavlovna [14]

Answer:

Step-by-step explanation:

e simplest type of interest is called, appropriately, “simple interest.” If you were to loan a friend $1000 to start a business and you both agreed that in one year, the friend would repay you $1060, you would earn $60 interest on that investment.

You would earn $60 simple interest. Simple interest is calculated as a percentage of the initial amount borrowed and does not include any additional earnings.

The percentage of the original loan amount that is paid as simple interest is called the interest rate. In our example, the interest rate on a $1000 loan that requires a $60 interest payment in one year is:

The simple interest rate on this loan would be 6%.

Interest Rate = The amount earned on an investment or charged on a loan (% of the principal)

Principal = The original amount of money borrowed for a loan or placed into an investment

Video Source (06:53 mins) | Transcript

The following video shows another example of simple interest and explains how this works with a little more detail.

Video Source (03:44 mins) | Transcript

There are two perspectives on interest. Someone is the lender, and someone is the borrower. From the viewpoint of the lender, interest is great. It allows them to make money on their investment. From the perspective of the borrower, interest can be a big problem. In addition to paying back the original amount of the loan, the borrower must also pay the interest.

The higher the interest rate, the greater the interest payment will be.

Interest Equation: I = Prt

I = Interest

P = Principle

r = Rate (using the decimal form of the %)

t = Time

Amount Owed = P + I

Additional Resources

Khan Academy: Intro to Simple Interest (02:45 mins, Transcript)

Khan Academy: Finding Simple Interest for One Year (05:22 mins, Transcript)

Khan Academy: Finding Simple Interest for Many Years (08:03 mins, Transcript)

Practice Problems

What is the definition for each of the variables in the simple interest formula (I=Prt)?

How much interest will you earn if you invest $500 for three years at a simple interest rate of 4% annually?

How much interest will you earn if you invest $1000 for seven years at a simple interest rate of 8% annually?

What is the total amount of money that you will have at the end of the four years if you invest $2000 for four years at a simple interest rate of 8% annually?

What is the total amount of money that you will have at the end of the six years if you invest $900 for six years at a simple interest rate of 7% annually?

5 0
3 years ago
(SOMEONE PLEASE HELP ME ) A central angle in a circle has a measure of 1 radian. The length of the arc it intercepts is 3.07 in.
Naddika [18.5K]
The total circle has a measure of 2π radian, so this portion is 1/(2π) of the whole circle
the circumference of the whole circle is 2πr
1/(2π) of 2πr=3.07
r=3.07
7 0
4 years ago
Read 2 more answers
Use the fraction below to answer the questions.
Setler [38]
The Numerator is 1, which is the top. The Denominator is the 8. I like to remember (D)own is the (D)enominator.
8 0
2 years ago
Solve this system of equations by using substitution<br><br> 3x + 5y = 23<br> y= x + 3
Iteru [2.4K]

Answer:

x=1

y=4

(1,4)

Step-by-step explanation:

TO SOLVE FOR X:

1. Substitute y=x+3 into the equation. This should look like this:

3x+5(x+3)=23

2. Use the distributive property.

3x+5x+15=23

3. Simplify:

8x+15=23

4. Subtract 15 from both sides. It should now lool like this:

8x=8

5. Divide both sides by 8.

x=1

TO SOLVE FOR Y:

1. Take x and substitute into original statement:

3(1)+5y=23

2. Simplify:

3+5y=23

3. Subtract 3 from both sides:

5y=20

4: Simplify:

y=4

CHECK ANSWER:

y=x+3

1. Substitute your answers

4=1+3

2. Simplify

4=4

3. Check for Truth. Is 4=4?

Yes. So your final answer is:

x=1

y=4

(1,4)

6 0
4 years ago
find the volume of A trapezoid prism of height 4Km.The parallel sides of the base have length 8km and 5km. The other sides of th
igor_vitrenko [27]

Answer:

Volume of prism = 39 km cubed

Step-by-step explanation:

<u>IMPORTANT FORMULA: Volume of any prism = Area of base * Height </u>

<u />

In this case, <u><em>the area of the base</em></u> means <u><em>the area of the trapezoid. </em></u>

Area of trapezoid = base1+base2/2  * height

Area of trapezoid = 8+5/2  * 1.5

Area of trapezoid = 13/2  * 1.5 = 9.75

We already know that the height of the trapezoidal prism is 4 kilometers.

So, we have all of the values that are needed to correctly fill in the formula.

Volume of the prism = 9.75 * 4 = 39  

7 0
3 years ago
Other questions:
  • Felicity put down 800 on a used car. She took out a loan to pay off the balance of the cost of the car. Her monthly payment will
    6·1 answer
  • If you make a 25% of discount how much money do you subtract?
    5·2 answers
  • Using partial products the product are 21 and 28
    11·1 answer
  • Who know the answer? Pls
    8·2 answers
  • What is the scale factor in simplest terms of this image?
    10·1 answer
  • 5 5/8 + 5/12<br><br><br>helpp mee plzz​
    11·2 answers
  • What is the missing value:<br><br> <img src="https://tex.z-dn.net/?f=%5Cfrac%7B16%7D%7B1%7D" id="TexFormula1" title="\frac{16}{1
    14·1 answer
  • Find the perimeter of a square with a side length of 1.25 miles. The perimeter is
    8·1 answer
  • Please help I’m confused
    5·2 answers
  • What part of San Pablo City Cathedral represents;
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!