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
hram777 [196]
3 years ago
5

Find an equation in standard form for the hyperbola with vertices at (0, ±9) and foci at (0, ±10).

Mathematics
1 answer:
wolverine [178]3 years ago
3 0

Answer:

y² / 81  -  x² / 19   = 1

Step-by-step explanation: See Annex ( vertices and foci in coordinates axis)

The equation in standard form for the hyperbola is:

x² / a² - y²/b² = 1       or    y²/a²  -  x² / b²  = 1

In cases of transverse axis parallel to x axis  or y axis respectively.

As per given information in this case hyperbola has a transverse axis parallel to  y  axis the equation is

y²/a²  -  x² / b²  = 1

a is a distance between  center and vertex therefore a = 9

c is a distance between center and a focus c = 10

and  b will be:

c² = a²  +  b²    ⇒   b²  = c²  - a²     ⇒ b²  =  (10)² - (9)²    ⇒  b² = 100 - 81

b = √19

And the equation in standard form is:

y² / a²  -  x² / b²  = 1

y² / ( 9 )²   -  x² / √(19)²     ⇒   y² / 81  -  x² / 19   = 1

You might be interested in
1
Maslowich

(−0.0081p)(t)=(15000)(2.718282)

Step 1: Divide both sides by -0.0081t.

−0.0081pt

−0.0081t

=

40774.227427

−0.0081t

p=

−40774.227427

0.0081t

Answer:

p=

−40774.227427

0.0081t

5 0
2 years ago
A scented candle is in the shape of a cylinder that is 8 inches tall. The diameter of the candle is 3.5 inches. Find the volume
blagie [28]
To find volume you use V=πr2h
V=3.14x1.75x2x8
answer: 76.97
5 0
3 years ago
Guys I need help on all three please​
kodGreya [7K]

Answer:

graph 1 proportional

graph 2&3 is non proportional

i think

6 0
3 years ago
Is 4 18/12 equal to 5 6/12?
Tom [10]

Answer:

Yes, 4 18/12 is equal to 5 6/12.

Step-by-step explanation:

Given that

4 18/12 = 5 6/12

11/2 = 11/2

Yes both are equal.

7 0
3 years ago
What is the most logical first step in solving the equation x2 + 6x +9 = 10?
Shalnov [3]

Answer:

<u>D</u>

Step-by-step explanation:

The logical step is to <u>factorize the left side of the equation</u>, which becomes:

  • (x + 3)² = 10

Then, you can take the square root on both sides.

  • x + 3 = ±√10
  • x = ±√10 - 3

Not asked, but good to understand the procedure regardless.

8 0
2 years ago
Other questions:
  • 3. Which property is represented by 5+ (-8)=-8 + 5? (1 po.
    7·1 answer
  • What is the LCM of 16a 3 b and 24ab 2?
    6·1 answer
  • A rectangular gasoline tank can hold 49.0 kg of gasoline when full. what is the depth of the tank (in m) if it is 0.400 m wide b
    14·1 answer
  • On Friday, a local hamburger shop sold a combined total of 393 hamburgers and cheeseburgers. The number of cheeseburgers sold wa
    9·1 answer
  • Evaluate the expression x= -2
    14·1 answer
  • Identify the equation that means eleven less than x is twenty-three
    15·1 answer
  • At a restaurant, the ratio of kid meals sold to adult meals sold is 4 : 9. If the restaurant sold 117 meals altogether, how many
    11·1 answer
  • Round 6 3/4 to the nearst whole number​
    10·2 answers
  • X/6=x/7-5 <br> Please show work thank you so much!!
    9·1 answer
  • What expression is equivalent to 5(n+5)
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!