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
Bas_tet [7]
3 years ago
9

A hyperbola centered at the origin has a vertex at (0,−40) and a focus at (0, 41).

Mathematics
2 answers:
Ainat [17]3 years ago
8 0

Answer:

y = +/- 40/9 x

NOT 9/40

Step-by-step explanation:

just took the quiz and it was the right answer

aniked [119]3 years ago
7 0

\frac{(x-h)^{2} }{a^{2} } - \frac{(y - k)^{2} }{b^{2} } = 1

\frac{(x-0)^{2} }{40^{2} } - \frac{(y - 0)^{2} }{b^{2} } = 1

a² + b² = c²

40² + b² = 41²

         b² = 41² - 40²

         b² = 1681 - 1600

         b² = 81

         b = 9

slope (m) of asymptote = +/-\frac{y}{x} = +/-\frac{b}{a} = +/-\frac{9}{40}

y-intercept (b) = 0 since the center is at the origin

Answer: y = \frac{9}{40}x and y = -\frac{9}{40}x

You might be interested in
Davis's Snacks will make 8,412 ounces of corn chips next year. The company plans to put the chips into 4-ounce bags. How many ba
Anastasy [175]

Answer:

2103 bags

Step-by-step explanation:

8412/4=2103

6 0
2 years ago
What is the ratio and percent of the rectangle below is shaded
kvv77 [185]

Answer:

choice C) 1:3 and 33 1/3%

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
The figure shows the layout of a symmetrical pool in a water park. What is the area of this pool rounded to the tens place? Use
k0ka [10]

Answer:

2489ft^{2}

Step-by-step explanation:

The pool are is divided into 4 separated shapes: 2 circular sections and 2 isosceles triangles. Basically, to calculate the whole area, we need to find the area of each section. Due to its symmetry, both triangles are equal, and both circular sections are also the same, so it would be enough to calculate 1 circular section and 1 triangle, then multiply it by 2.

<h3>Area of each triangle:</h3>

From the figure, we know that <em>b = 20ft </em>and <em>h = 25ft. </em>So, the area would be:

A_{t}=\frac{b.h}{2}=\frac{(20ft)(25ft)}{2}=250ft^{2}

<h3>Area of each circular section:</h3>

From the figure, we know that \alpha =2.21 radians and the radius is R=30ft. So, the are would be calculated with this formula:

A_{cs}=\frac{\pi R^{2}\alpha}{360\°}

Replacing all values:

A_{cs}=\frac{(3.14)(30ft)^{2}(2.21radians)}{6.28radians}

Remember that 360\°=6.28radians

Therefore, A_{cs}=994.5ft^{2}

Now, the total are of the figure is:

A_{total}=2A_{t}+2A{cs}=2(250ft^{2} )+2(994.5ft^{2})\\A_{total}=500ft^{2} + 1989ft^{2}=2489ft^{2}

Therefore the area of the symmetrical pool is 2489ft^{2}

3 0
2 years ago
Rename 120,000 blank ten, thousand
Zolol [24]
One hundred and twenty thousand
4 0
3 years ago
Find the circumference of the circle 8.5cm
Vanyuwa [196]

Answer: The circumference of the circle is 53.38 cm.

Step-by-step explanation:

Circumference of the circle is the distance around the circle.

Formula used:

C = 2\pi r

Where,

C is circumference of circle

r is radius of circle

Given:

Radius of circle = 8.5 cm

Now putting all the given values in the above formula, we get:

C = 2\pi r\\C=2\times 3.14\times 8.5cm\\C=53.38cm

Therefore, the circumference of the circle is 53.38 cm.

8 0
2 years ago
Other questions:
  • Mr. Sawyer drove his car from his home to New York at the rate of 45 mph and returned over the same road at the rate of 40 mph.
    10·1 answer
  • Dose anybody know how to do this
    9·2 answers
  • Which of the following is the solution to the compound inequality
    5·1 answer
  • Write an expression with with (-1) as its base that will produce a positive product, and explain why your answer
    10·1 answer
  • What kinds of error types are indicated by a red circle with an exclamation point (”!”) in the summary grid?
    15·1 answer
  • I need this answered asap
    11·1 answer
  • What is the value of x?
    15·2 answers
  • If you can run 3 3/4 miles in 40 minutes, how far can you run in 2 hours? Fill in the ratio table to help you solve the problem.
    6·1 answer
  • Please find the gradient of the given lines when coordinates of the lines are not given. Please with detailed steps.
    11·2 answers
  • PLZ HELP ME! THIS IS DUE TODAY!
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!