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
Zigmanuir [339]
3 years ago
7

Find the vertices and foci of the hyperbola with equation quantity x plus 5 squared divided by 36 minus the quantity of y plus 1

squared divided by 64 equals 1.
Vertices: (-1, 3), (-1, -13); Foci: (-1, -13), (-1, 3)
Vertices: (3, -1), (-13, -1); Foci: (-13, -1), (3, -1)
Vertices: (-1, 1), (-1, -11); Foci: (-1, -15), (-1, 5)
Vertices: (1, -1), (-11, -1); Foci: (-15, -1), (5, -1)
Mathematics
2 answers:
Sphinxa [80]3 years ago
8 0

Answer:

Vertices: (1,-1), (-11, -1); Foci: (-15, -1), (5, -1)

Step-by-step explanation:

Center at (-5,-1) because of the plus 5 added to the x and the plus 1 added to the y.

a(squared)=36 which means a=6 and a=distance from center to vertices so add and subtract 6 from the x coordinate since this is a horizontal hyperbola, which is (1,-1), (-11,-1). From there you dont need to find the focus since there is only one option for this;

Vertices: (1,-1), (-11, -1); Foci: (-15, -1), (5, -1)

Gekata [30.6K]3 years ago
5 0

Answer:

Vertices: (1, -1), (-11, -1); Foci: (-15, -1), (5, -1)

Step-by-step explanation:

Ok so we have 5x\frac{5x^{2} }{36}-\frac{y^{2} }{64}=1

As you know we have the equation of the hyperbola as (x-h)^2/a^2-(y-k)^2/b^2, so the formula of the foci is (h+-c,k) and for vertices (h+-a,k)

then we have to calculate c using pythagoras theorem we have that

a=6 because is the root of 36

b=8 beacause is the root of 64

And then we have that c^{2}=a^{2}+b^{2}

c=\sqrt{36+64}

So the root of 100 is equal to 10

Hence c=10

Using the formula  given before and the equation we know that

h=-5

k=-1

And replacing those values on the equation we have that the foci are

  • (-5-10, -1)=(-15,-1)
  • (-5+10,1)=(5,-1)

And the vertices are:

  • (-5-6, -1)=(-11,-1)
  • (-5+6, 1)= (1,-1)

So the correct answer is D

You might be interested in
George is trying to make some decisions about his business and has come up with P = (x - 100)(x + 20), where P represents his pr
elixir [45]
In this case if x<100 George will be losing money.  So he will only earn a profit when he sells more than 100 DVDs.  Essentially (x-100) represents his break-even point.
5 0
3 years ago
Read 2 more answers
Fransico had 2 1/2 pizzas left over after his birthday party. The next day he and his family ate 1 1/4 of the left over pizza. H
zavuch27 [327]

Answer:

2 2/4 - 1 1/4 = 1 1/4

Step-by-step explanation:

Hope this helps!

if not I am sorry

5 0
2 years ago
Tori went to see a monster truck show at the local arena before the show Tori got to see the truck up close he noticed that each
AlexFokin [52]

Answer:

37.70 feet

Step-by-step explanation:

-The radius of each tire is given as 6 feet.

-Distance around each tire is equivalent to the circumference of each tire.

#Circumference is calculated as:

C=\pi D=2\pi r\\\\=2\pi \times 6 \\\\=12\pi\\\\=37.70\ feet

Hence, the distance around each tire is 37.70 feet

7 0
3 years ago
Use properties to find sum or product of 4 + (6+21)
Maurinko [17]
You need to use  pemdas so first you do inside the parenthesis 6+21=27 then you add 4 27+4=31 that is your answer



4 0
3 years ago
The temperature startedat 10 degrees F. The temperature dropped 5
gavmur [86]

Answer:

-5FStep-by-step explanation:

10-5x3=-5 F

7 0
3 years ago
Other questions:
  • Find the exact value of sin-1 the quantity square root of three divided by two
    14·1 answer
  • What is negative 1 and one fourths times nine?
    7·1 answer
  • Watching tv: in 2012, the general social survey asked a sample of 1310 people how much time they spend\t watching tv each day. T
    5·1 answer
  • Please answer asap!!!
    7·1 answer
  • Sam and Annika ride their bikes to school. Sam rides his bike (k) kilometers . Annika rides her bike 2 less than 4 times as many
    7·1 answer
  • In need of help!!!! It would be really helpful
    12·1 answer
  • Temperature rose 9°f in 3 hours if the starting wad -5°f what was the final temperature
    10·1 answer
  • PLEASE HELP GEOMETRY QUESTION
    5·1 answer
  • Calculate the radius of the circle when its diameter is 42 cm.
    10·1 answer
  • Find marcRQT.<br> Honestly, I have no clue what I’m doing so please answer
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!