Suppose that the path of a newly discovered comet could be modeled by using one branch of the equation x2/4 - y2/9=1, where distances are measured in astronomical units. Name the vertices of the hyperbola and then graph the hyperbola.

Answers

Answer 1

Answer:

the answer is A just tool the quiz lesson 5 hyperbolas Algebra 2B unit 5 these are the correct answers

1.A

2.B

3.D

4.A

5.B

6.D

7.A

hopes this helps everyone

Answer 2

The hyperbola has two vertices at (-2,0) and (2,0)

We have given that the equation

[tex]\frac{x^2}{4}-\frac{y^2}{9}=1[/tex]

What is the equation of the hyperbola?

[tex]\frac{x^{2} }{a^2}+\frac{y^2}{b^2} =1[/tex]

Compare the above equation of the hyperbola with given equation

therefore a=2

vertices are (-a,0) and (a,0)

Therefore the vertices are (-2,0) and (2,0)

See the graph of the hyperbola in link given below.

The hyperbola has two vertices at (-2,0) and (2,0)

To learn more about hyperbola visit:

https://brainly.com/question/2351925


Related Questions

List all the transformations for the following equation.

Answers

Answer:

flipped over the x-axis

horizontal shift left 7 units

vertical shift down 6 units

Step-by-step explanation:

y=21(0.97)^x
please help me​

Answers

Answer:

y=[tex]\frac{21*97^x}{100^x}[/tex], x= all real numbers

The graph represents the number of bike paths planned for the cities of Nashville and Houston. The number of paths to be built in Houston is modeled by y = 4(2)x, and the number planned for Nashville is modeled by y = 4x. According to the graph, which statement is true about this situation? A) The number of paths planned for Nashville is increasing exponentially. B) The number of paths planned for Houston is represented by the green line. C) The number of paths planned for Nashville is represented by the green line. D) The number of paths planned for Nashville will more than likely exceed the paths in Houston as the value of x increases.

Answers

Answer:

C

Step-by-step explanation:

Answer:

C. The number of paths planned for Nashville is represented by the green line.

Step-by-step explanation:

Nashville is y=4x, so if you graph that in desmos, you will see the line for Nashville is the same as the green line in the question.

If 1/5 = 2/3, then ?/5 = 3/3. Show your work and explain your reasoning.

Answers

Answer:

3/10

Step-by-step explanation:

If 1/5 = 2/3 then 1/10 = 1/3

So given that information, 3/10 = 3/3

Hope this helps!

Someone please help me withe this​

Answers

Answer:

13

Step-by-step explanation:

it will be B because it find the missing side you need to do the pythagorean theorem

13 is the answer.......

There’s a button for the pic

Answers

A Multiply the input number by 6 because 2 times 6= 12, 6 times 6= 36, 8 times 6= 48, 9 times 6= 54, and 12 times 6= 72.

AB and CD are straight line segments.
∠ AOE = 50° and ∠ DOB = 95°.
Find the values of the following angles giving a reason for each answer in the comment box.
The diagram is not drawn accurately.
i) obtuse ∠ AOC
ii) acute ∠ BOC
iii) acute ∠ DOE

Answers

Answer:

i) Angle AOC is 95° Reason:- Angle AOC is equal to Angle DOB since they are Vertically Opposite Angles.

ii) Angle BOC is 85° Reason:- Angle AOC + Angle BOC - 180° (they lie in a straight line so they are a linear pair. Sum of the angles will be 180°) Angle AOC is 95°, So:- 95° + Angle BOC = 180° Angle BOC= 180° - 95° Angle BOC = 85° iii) Angle DOE is 17° Reason:- Angle AOE+ Angle DOE+ Angle DOB = 180° (they lie in a straight line so they're a linear pair. Sum of the angles will be 180°) So, 68° + Angle DOE+ 95° = 180° 163° + Angle DOE = 180° Angle DOE= 180° - 163° Angle DOE is 17°

A right triangle is shown below.
Х
4
8.5
What is the value of x? Enter your value as a decimal rounded to the nearest tenth,

Answers

Answer: x = 7.5

Step-by-step explanation:

Use the Pythagorean Theorem ( [tex]a^{2}+b^{2} =c^{2}[/tex] )

The longest side is c = the hypotenuse, and a and b = the other sides of the triangle.

a = 4                              First: [tex]4^{2}+x^{2}=8.5^{2}[/tex]

b = x                         Second: [tex]16+x^{2}=72.25[/tex]  

c = 8.5                          Third: [tex]x^{2}=56.25[/tex]

                                  Fourth: [tex]x=\sqrt{56.25}[/tex]

                                      Fifth: x = 7.5

Fill in the table for this input-output rule:
4
divide by 2
and add 1
input
3.
output
0
2.
-8
100

Answers

Answer:

1, 2, -3, 51

Step-by-step explanation:

0 ÷ 2 = 0, then + 1 = 1

2 ÷ 2 = 1, then + 1 = 2

-8 ÷ 2 = -4, then + 1 = -3

100 ÷ 2 = 50, then + 1 = 51

how many is 20 times 20

Answers

Answer:

400

Step-by-step explanation:

Answer:

400

Step-by-step explanation:

20 x 20

2 x 2

4

than add in the two zeros

400

Hope this helped :)


Help me please !!!!!!


Answers

Answer:

The y-int represents the base price of $200 for airfare from NYC

The slope represents a cost of 30 cents per mile traveled

If the base cost for airfare changed to $50 and the cost per mile is unchanged, the new equation would be y=50+0.30x

If the cost per mile changed to 50 cents, the new equation would be y=200+0.50x

Which statement is correct regarding independent events?
OTwo events are independent if they have no outcomes in common and cannot occur at the same time.
OTwo events are independent if they have outcomes in common and can occur at the same time.
OTwo events are independent if the outcome of the first event does not affect the outcome of the second event.
O Two events are independent if the outcome of the first event affects the outcome of the second event.

Answers

Answer:

Two events are independent if the outcome of the first event does not affect the outcome of the second event.

Step-by-step explanation:

two events are independent if the occurrence or outcome of the  first event does not affect the outcome or occurrence of the second event.

for example, if you flip a coin the first time and the outcome is a head and you flip a second time and you get a tail. the occurrence of these two event are independent of each other. Thus they are independent events

two outcomes are dependent if the outcome one event is determined by the outcome of the first event.

The number of eggs in the refrigerator e decreased by 3 equals 15.

Answers

Answer:

e - 3 = 15

or if you're looking for the answer to the problem

18

Step-by-step explanation:

On Saturday, the feature sold 40 tickets to the late show. On Sunday, 60 tickets were sold. Find the percent of change and label it as an increase or decrease.

Answers

Answer:

150%

Step-by-step explanation:

60/40=x/100

=> x*40=100*60

=> x=100*60/40

=> x=150%

please mark as brainliest, l need it

Find the missing side lengths.

Can someone please help???

Answers

Answer:

x = 16

y = 13.8

Step-by-step explanation:

Solve forj j - 263 = 243 ​

Answers

J = 506

J needs to be isolated so add 263 to both sides. -263 is cancelled out and 263 + 243 is 506.
Hence the answer of 506

Answer:

The value of j is 506

Step-by-step explanation:

j - 263 = 243

j = 243 + 263

j = 506

Thus, The value of j is 506

-TheUnknownScientist

Pls I need the answer rn

Answers

Answer:

x = 30

Step-by-step explanation:

since 2 sides are equal, that means their angles are also equal.

you do 180-120 to get 60 and then divide 60 by 2 to get 30

Answer:

x=30

Step-by-step explanation:

We know all the angles a triangle combined are 180 the two bottom angles for this one are equal so we can do

(180-120)/2=30

Un número decimal periódico mixto es un número irracional.

Answers

Answer:

Step-by-step explanation:

decimal periodico mixto es un decimal en el que al menos uno de los dígitos después del punto decimal no se repite y algunos dígitos se repiten .

Estos decimales son racionales

Los que no se repiten y no se treminan son irracionales

please help with question down below!

Answers

the area of one base is 121 cm^2 so if you multiply that by 6 the final answer should be 726 cm^2

A basketball team won 72.5% of their games. Find the probability they win 16 if their next 30 games.

Answers

Answer:

0.00987

Step-by-step explanation:

Using binomial probability formula :

P(x =x) = nCx * p^x * (1 - p)^(n - x)

p = 0.725 ; number of trial, n = 30

Number of winning, x = 16

1 - p = 1 - 0.725 = 0.275

P(x = 16) = 30C16 * 0.725^16 * 0.275^14

P(x = 16) = 119759850 * 0.725^16 * 0.275^14

P(x = 16) = 0.00987

Hence, the probability of winning 16 of their next 30 games is 0.00987

Hey! Please help me with this kahn question
thanks!

Answers

Answer:

[tex]z^{11}[/tex]

Step-by-step explanation:

add 5 and 6 because they have the same base z

Suppouse you bought something that was priced at $6.95, and after sales tax the total bill was $7.61. What is the sale tax rate in the city?​

Answers

Answer:

11% or 10.5%

Step-by-step explanation:

Please answer correctly

Answers

FCD=50º

hope this helps!!

A rectangular fish tank is 22 inches tall. The base edge lengths are 20 inches and 18 inches. What is the total surface area of the fish tank?

Answers

Answer:

2392in^2

Step-by-step explanation:

Given data

Dimension

Height 22 inches

Lenght= 20inches

Width= 18inches

The expression for the total surface area is

TSA=2(lw + lh + wh)

Substitute

TSA=2(20*18+20*22+18*22)

TSA=2(360+440+396)

TSA=2*1196

TSA=2392 in^2

Hence the total surface area is 2392in^2

What is the result of subtracting a number greater than -3 but less than -2 from a number greater than 1 and less than 6

Answers

Answer:

2/2 - 4 = -3

Step-by-step explanation:

I don't know really but, hopefully this helps. Are there any answer choices?

If AABC = APQR, then
AB =
Help please

Answers

Answer:

PQ should be the answer

Step-by-step explanation:

can someone please help me​

Answers

Answer:

n > 9

Step-by-step explanation:

i hope this helps :)

can somebody find the volume of the cone on #2?
thank you!!

Answers

Answer:

[tex] 4,220.16 \: {units}^{3} [/tex]

Step-by-step explanation:

Diameter of cone = 24 units

Radius of cone (r) = 24/2 = 12 units

Height of cone (h) = 28 units

[tex]V_{cone} = \frac{1}{3} \pi {r}^{2}h \\ \\ = \frac{1}{ 3} \times 3.14 \times {(12)}^{2} \times 28 \\ \\ = \frac{1}{3} \times 3.14 \times 144 \times 28 \\ \\ = 3.14 \times 1,344 \\ \\ = 4,220.16\: {units}^{3} [/tex]

A factory worker loaded some boxes onto a cart . Each box has the same weight . This expression represents the total weight in pounds , of the cart and n boxes 10n + 25 Based on the expression , what is the weight , in pounds , of the cart ?

Answers

Answer:

25 pounds

Step-by-step explanation:

Sum of the weight of the boxes of the cart = 10n + 25

where n = number of boxes

10 would be the weight of each box.

total weight of the boxes = weight of each box x number of boxes

10 x n = 10n

The other variable is 25. this is the weight of the cart

True or False: A discrete relation is a relation with an infinite set of values in the domain.
NEED HELP ASAP WILL GIVE BRAINLLEST

Answers

Answer:

Yes

Step-by-step explanation:

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