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
finlep [7]
3 years ago
6

What is the equation of an asymptote of the hyperbola whose equation is (x-2)^2/4 - (y-1)^2/36 = 1?

Mathematics
1 answer:
UNO [17]3 years ago
4 0

Answer: it’s C. Y=3x-5

You might be interested in
Janine babysits for $14.50 per hour. She also works as a dishwasher at her family's restaurant for $9.50 per hour. Her family ne
FrozenT [24]
The system of inequalities are
14.5·x + 9.5·y ≥ 140
7 ≤ y ≤ 10
x + y ≤ 15
2) 14.5·x + 9.5·y ≥ 140 represents the total amount of money Janine can earn
7 ≤ y ≤ 10 represents the range of values, Janine can spend dishwashing
x + y ≤ 15 represents the total number of hours Janine will like to work each week
3) 8 hours babysitting, 7 hours dishwashing
Step-by-step explanation:
The given parameters are;
The amount per hour Janine makes from babysits = $14.50
The amount per hour Janine makes from dishwashing = $9.50
The minimum number of hours Janine can spend dishwashing = 7 hours
The maximum number of hours Janine can spend dishwashing = 10 hours
The maximum number of hours Janine can work each week = 7 hours
The minimum amount she wants to make each week = $140
Let x represent the number of hours Janine spends babysitting and let y represent the number of hours Janine spends dishwashing
1) From the question, we have;
14.5·x + 9.5·y ≥ 140
7 ≤ y ≤ 10
x + y ≤ 15
2) Where
14.5·x + 9.5·y ≥ 140 represents the total amount of money Janine can earn
7 ≤ y ≤ 10 represents the range of values, Janine can spend dishwashing
x + y ≤ 15 represents the total number of hours Janine will like to work each week
Making, y, the subject of the formula of the above inequalities and plotting as functions is given as follows;
y ≥ 140/9.5 - (14.5/9.5)·x
y ≤ 15 - x
3) In order to earn as much money as possible given that the amount Janine earns from babysitting is more than the amount she earns from dishwashing, Janine should spend the least amount of time dishwashing, which is 7 hours, as given, and then spend the remaining 8 hours babysitting to receive $14.5 × 8 + $9.5×7 = $182.5
3 0
3 years ago
If 4 + x = −3 + 2x, then 9x =_____?
gayaneshka [121]

Answer:

4+x=-3+2x

4+3=2x-x

7=x

9x=9*7

=63

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
Caroline ordered 126 shirts: She plans to decorate the shirts
Rina8888 [55]

Answer:

25 and there a leftpover of 2

Step-by-step explanation:

3 0
3 years ago
What's another way to write (6+7)x?
Annette [7]
I think 6x+7x because i think u distribute 
6 0
3 years ago
Read 2 more answers
determine the maximum or minimum of the quadratic function. express your answer in the form (x,y) and using decimals rounded to
kolezko [41]

We are given the following quadratic equation

f(x)=2x^2+7x-10

The vertex is the maximum/minimum point of the quadratic equation.

The x-coordinate of the vertex is given by

h=-\frac{b}{2a}

Comparing the given equation with the general form of the quadratic equation, the coefficients are

a = 2

b = 7

c = -10

h=-\frac{b}{2a}=-\frac{7}{2(2)}=-\frac{7}{4}=-1.75

The y-coordinate of the vertex is given by

\begin{gathered} f(x)=2x^2+7x-10 \\ f(-1.75)=2(-1.75)^2+7(-1.75)-10 \\ f(-1.75)=2(3.0625)^{}-12.25-10 \\ f(-1.75)=6.125^{}-12.25-10 \\ f\mleft(-1.75\mright)=-16.13 \end{gathered}

This means that we have a minimum point.

Therefore, the minimum point of the given quadratic equation is

(-1.75,-16.13)

7 0
11 months ago
Read 2 more answers
Other questions:
  • 331 student went on a field trip. Six buses were filled and 7 traveled in cars. How many students were in each bus
    14·1 answer
  • A line segment is sometimes/never/always similar to another line segment, because we can sometimes/never/always map one onto the
    11·2 answers
  • Which of the following illustrates the truth value of the given conditional statement? If 5 = 3 + 2, then 3 + 2 = 5.
    7·1 answer
  • Two lighthouses are located 60 miles from one another on a north-south line. If a boat is spotted S 21o E from the northern ligh
    6·1 answer
  • ZA and B are supplementary
    14·1 answer
  • Bonnie is three times as old as her brother, h. The sum of their ages is less than 44. What is the greatest age Bonnie’s brother
    5·1 answer
  • The Barnes family has a coupon for 10% off their dinner. If their bill comes to $82.50 and they wish to tip 15%, what will they
    10·2 answers
  • Approximately 38 percent of people living in Region W have the blood type O positive. A random sample of 100 people from Region
    13·1 answer
  • it was -11 degrees. She checked again later and it was -2 degrees . Express the change in tempature as a integer Help me !
    12·2 answers
  • Dennis drew the line of best fit on the scatter plot shown below:
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!