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

jamal is 8 miles away from his house.he rides his bike home toward home at a speed of 12mph how far away from home is he after a half hour

Answers

Answer:

2 miles

Step-by-step explanation:

12 mph would be 6 miles in a half hour

8 - 6 = 2 miles

Felipe is a software salesman. His base salary is $2200, and he makes an additional $70 for every copy of English is Fun he sells. Let P represent his total pay in dollars), and let N represent the number of copies of English is Fun he sells. Write an equation relating P to N. Then use this equation to find his total pay if he sells 26 copies of English is Fun.​

Answers

Multiplying N by what he makes for each one and add to his salary:

P = 70N + 2200

Replace n with 26 and solve:

P = 70(26) + 2200

P = 1820 + 2200

P = 4020

He earns $4,020

Answer:

Multiplying N by what he makes for each one and add to his salary:

P = 70N + 2200

Replace n with 26 and solve:

P = 70(26) + 2200

P = 1820 + 2200

P = 4020

He earns $4,020

Step-by-step explanation:

The circumference of a circle is about 50 centimeters (cm). Which is closest to the length of its radius? You may use 3.14 for
Α.4 cm
B. 8 cm
C.16 cm
D.32 cm

Answers

Answer:

8 cm

Step-by-step explanation:

The formula of circumference is c= πd------(1)

where C = circumference, π = 3.14 and d = diameter

as we know that diameter is equal to d= 2r

put the diameter formula in eq(1)

we get c= π2r-------(2)

from eq (2) separate r means radius

hence, r= c/(π2)------(3)

put the values in eq(3)

and radius is equal to 8 cm.

Please answer this for 15 points!!! Stuck on this forever

The model shows a rectangular prism made up of cubes with an edge length of 1/2meter.

Part A

Kate finds the volume of the prism by counting the unit cubes. She counts the number of cubes in the bottom layer. She says since there are 3 layers, there are 144 unit cubes, and the volume of the prism is 144 cubic meters. Is Kate correct?

Fill in the blanks to explain your answer.

The bottom layer has _______ unit cubes. The prism is made up of a total of _______unit cubes. The volume of a single unit cube is________cubic meter, so the volume of the prism is_______cubic meters. Kate________correct.

Answers

Answer:

no

Step-by-step explanation:

no

SOMEONE PLEASE HELP ME WILL GIVE BRAINLY

Answers

Answer:

Let me get my homie on here to help you.

Step-by-step explanation:

5k + 7 + 3k help me
Fast

Answers

Answer:

8k+7

Step-by-step explanation:

Like terms!

5k+3k=8k

6k + 7 i’m pretty sure

Persephone and Madison are sharing a coloring book with 48 pages in it. Persephone can color one page in 8 minutes. Madison can color one page in 6 minutes. They color every page in the book.

Answers

Answer:

[tex]Persephone = 27\frac{3}{7}[/tex]

[tex]Madison = 20\frac{4}{7}[/tex]

Step-by-step explanation:

Given

[tex]Pages = 48[/tex]

[tex]P=8\ mins[/tex] --- Persephone

[tex]M = 6\ mins[/tex] --- Madison

The question is incomplete, however a possible question could be:

To determine the number of pages colored by each of them

First, we determine the ratio of time spent by each:

[tex]P : M = 8 : 6[/tex]

The number of pages covered by Persephone is:

[tex]Persephone = \frac{P}{P + M} * Pages[/tex]

[tex]Persephone = \frac{8}{8+6} * 48[/tex]

[tex]Persephone = \frac{8}{14} * 48[/tex]

[tex]Persephone = \frac{384}{14}[/tex]

Simplify

[tex]Persephone = 27\frac{3}{7}[/tex]

This implies that Madison colors the remaining pages.

This is calculated as:

[tex]Madison = Pages - Persephone[/tex]

[tex]Madison = 48 - \frac{384}{14}[/tex]

Take LCM

[tex]Madison = \frac{48 * 14 - 384}{14}[/tex]

[tex]Madison = \frac{288}{14}[/tex]

Simplify

[tex]Madison = 20\frac{4}{7}[/tex]

A dresser has a width of 6 feet, a height of 3 feet, and a depth of 2 feet. If the dresser has 6 drawers of the same size, what is the volume of the space for each drawer?

Answers

Answer:

The volume of the space for each drawer is 6 feet^3.

Step-by-step explanation:

Solve for the volume of the entire dresser.

Formula for volume of a rectangle:

Volume (v) = Length (l) × width (w) × height (h)

v = 2 × 6 × 3

v = 12 × 3

v = 36

Now divide the volume by the number of drawers.

36 ÷ 6 = 6

A scatter plot with a line is shown below. (Attachment)

Which statement is most likely correct about the line?

It can be the line of best fit because it is closest to most data points.
It can be the line of best fit because it passes through all the scatter points.
It cannot be the line of best fit because it does not pass through all the points.
It cannot be the line of best fit because it does not pass through the first and last points.

Please help! Other brainy answers DO NOT help. Will mark brainliest!

Answers

Answer:

It can be the line of best fit because it is closest to most of the data points.

Mary had to guess at a chosen number between 1 and 10, to get to be the first in line. What’s the probability that she’ll choose the correct number?

Answers

Answer:

1 in 10, or 10% because there is a 90% chance she will choose the wrong number.

Answer:

[tex]\frac{1}{10}[/tex]

Step-by-step explanation:

1-10 is 10 numbers, only one of which is the correct one.

The resulting proportion is:

[tex]\frac{1}{10}[/tex]

i need help on a equation −4a5⋅6a5​

Answers

I don’t understand the equation but you can use Photomath to solve any equation you need to solve. It’s and app for free.

Find the product of these complex numbers.
(3-4i)(1 - i) =

Answers

Answer:

Step-by-step explanation:

-1-7i

Consider the equation of parabola y = 5x - 30x + 45.
Its vertex is located at
( , )

Answers

Answer:

(3, 0 )

Step-by-step explanation:

Given a parabola in standard form

y = ax² + bx + c (a ≠ 0 )

Then the x- coordinate of the vertex is

[tex]x_{vertex}[/tex] = - [tex]\frac{b}{2a}[/tex]

y = 5x² - 30x + 45 ← is in standard form

with a = 5, b = - 30 , then

[tex]x_{vertex}[/tex] = - [tex]\frac{-30}{10}[/tex] = 3

Substitute x = 3 into the function for corresponding value of y

y = 5(3)² - 30(3) + 45 = 45 - 90 + 45 = 0

vertex = (3, 0 )

Answer:

Vertex is (3,0)

Step-by-step explanation:

Given y= 5x^2 - 30x + 45

         y    = 5 ( x^2 - 6x + 9)

               = 5 ( x -3 )^ 2 + 0

Standard formula of parabola is y = a(x - k)^2 + k where vertex is (h,k)

Here, h = 3 and k = 0

So,  Vertex is ( 3, 0)

Brainly Reward (mathematics)​

Answers

Answer:

1: 45

2: 32

3: 35

4: 32

Step-by-step explanation:

when finding the area of a trapezium you can also just split the rectangle and triangle to have 2 different areas then combine to have the same area. but also this would be more difficult if you needed to separate the trapezium into more than 3 shapes.

so if there is like a trapezoid that you split and there is a rectangle and 2 triangles it is harder than doing the formula.

so use the formula sometimes too if it is easier.

Answer:

1 would be 45, 2 would be 32, 3 would be 35, 4 would be 32

Step-by-step explanation:

Please help

Find the distance between (−9, −3) and (−6, −8). Round your answer to the nearest tenth. The distance is about ____ units.

Answers

The distance is about 5.8 units.

I need so much help with these could you help me?

Answers

Answer:

Step-by-step explanation:

In ΔBCA and ΔDCA,

BC ≅ CD                 Given

∠BCA ≅∠DCA        Given

AC ≅ AC                    Reflexive property

ΔBCA ≅ ΔDCA          S A S congruent

∵ BA ≅ AD                CPCT {Corresponding part of congruent triangle}

the circumference of a circle is about 48.042 yards. the circle's diameter is ___ yards.

use 3.14 for pi.​

Answers

Step-by-step explanation:

Given

Circumference of circle = 48.042 yards

diameter (d) = ?

we know

Circumference = πd

or, 48.042 = 3.14 * d

or, d = 48.042 / 3.14

Therefore d = 15.3 yards

The circle's diameter is 15.3 yards.

Hope it will help :)❤

48.042 divide by 3.14 = 15.3

diameter is 15.3 yards.

the sum of 2 consecutive odd number is 12 how?​

Answers

Answer:

5 and 7

Step-by-step explanation:

Let the two numbers be x and x + 2.

According to Question ,

[tex]\implies x + x + 2 = 12 \\\\\implies 2x = 12 -2 \\\\\implies 2x = 10 \\\\\implies x =\dfrac{10}{2}\\\\\implies\boxed{ x = 5 }[/tex]

Hence the nos . are 5 and 7

Some to do. So do it.​

Answers

Answer:

1. A=42

L=14

42=W(14)

divide both sides by 14

3=W

2. A=96

L=12

96=W(12)

divide both sides by 12

8=W

3. A=90

L=18

90=W(18)

divide both sides by 18

5=W

4. A=1.50

L=15

1.50=W(15)

divide both sides by 15

0.1=W

Step-by-step explanation:

An altitude is also called the __ of the triangle. One endpoint must be a _____ of the triangle. The altitude creates a ______ ______ with the opposite side of the triangle. FILL IN THE BLANKS

Answers

Answer:

do you have answer choices or is this just fill in the blanks ?

answer question for 15 points

Answers

A translation down to the left since it’s negative

Parallelogram Properties - Angles

Answers

Answer: x=30°

Step-by-step explanation:

A parallelogram always add up to 360°.

Opposite angles like F and H are always the same, so H=150°.

150+150=300 (what angles F and H add up to)

So we can do:

360-300=60

Now we know that the angle x and E have to add up to 60 but still be the same, so x will equal 30°.

We can check this by adding up all of the sides:

150+150+30+30=360°

Hope this helped :)

Help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

with what??!!

Step-by-step explanation:

Answer:

This is essay thank you

Step-by-step explanation:


At what point does the skater have the most kinetic energy?

Answers

The kinetic energy is greatest at the lowest point which is M

Answer:

When traveling downhill.

Step-by-step explanation:

When the skater pushes forwards and starts to move downhill, he/ she will speed up creating the most amount of kinetic energy in the diagram.

Find the value of z in the diagram below.

MARKED AS BRAINLIEST:))

Answers

Answer:

z=7

Step-by-step explanation:

If z represents 1/2 of 14, then z=14*1/2=14/2=7

how to graph y=2x-4

Answers

Hope this helps!!!!!!

i need help i literally don't understand this at all and the teacher doesn't explain the assignment at all.

Answers

Answer:

2) 67.8°

3) 46.8°

4) 56.0°

Step-by-step explanation:

Use the right triangle trig functions

sine, cosine, or tangent and take the inverses to find the angle

A multiple-choice test has five questions, each with five choices for the answer. Only one of the choices is correct. You randomly guess the answer to each question. What is the probability that you do not answer any of the questions correctly?

Answers

Answer:

Ans: (1/5)^2 *(4/5)^3 = 0.0205

Step-by-step explanation:

The graph of function f is shown. Function g is represented by the table. x -2 -1 0 1 2 g(x) -32 -16 -8 -4 -2 Which statement correctly compares the two functions on the interval [0, 2]? A. Function f is increasing, and function g is decreasing. B. Both functions are increasing, but function f is increasing faster. C. Both functions are increasing, but function g is increasing faster. D. Both functions are increasing at the same rate.

Answers

Answer:

Both functions are increasing, but function g is increasing faster

Step-by-step explanation:

Correct on a plato test. Have a great day!

Answer:

B. fashoooooooo

Step-by-step explanation:

Both functions are increasing, but function f is increasing faster.

Can i get help please and thanks

Answers

Answer: 9.21954

it’s pythagorean theorem btw :)

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