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
kvv77 [185]
3 years ago
6

Find the vertices and foci of the hyperbola with equation quantity x plus 4 squared divided by 9 minus the quantity of y minus 5

squared divided by 16 = 1

Mathematics
1 answer:
My name is Ann [436]3 years ago
6 0

Answer:

Vertices at (-7, 5) and (-1, 5).

Foci at (-9, 5) and (1,5).

Step-by-step explanation:

(x + 4)²/9 - (y - 5)²/16 = 1

The standard form for the equation of a hyperbola with centre (h, k) is

(x - h²)/a² - (y - k)²/b² = 1

Your hyperbola opens left/right, because it is of the form x - y.

Comparing terms, we find that

h = -4, k = 5, a = 3, y = 4

In the general equation, the coordinates of the vertices are at (h ± a, k).

Thus, the vertices of your parabola are at (-7, 5) and (-1, 5).

The foci are at a distance c from the centre, with coordinates (h ± c, k), where c² = a² + b².

c² = 9 + 16 = 25, so c = 5.

The coordinates of the foci are (-9, 5) and (1, 5).

The Figure below shows the graph of the hyperbola with its vertices and foci.

You might be interested in
Twice the quantity of 4d increased by 9 is 33.
slava [35]

play with my melons and drool my girl part

Step-by-step explanation:

it would feel so good and after i can make you com it will make you feel better

5 0
2 years ago
If x - 1 upon x = 2 then find the value of x + 1 upon x<br>please answer​
stepladder [879]
X-1/x= 2
x-1=2x
x-2x=1
-x=1
x=-1

x+1/x
-1+1/-1
0/-1
0
it equals 0
5 0
2 years ago
I really need this answered fast.....The coordinates of the vertices of △JKL are J(−5, −1) , K(0, 1) , and L(2, −5) . Which stat
dimulka [17.4K]
<span>JKL is a right triangle because JK ¯ ¯ ¯ ¯ ¯ is perpendicular to KL</span>
5 0
2 years ago
Read 2 more answers
Problem PageQuestion The Russell family and the Gonzalez family each used their sprinklers last summer. The water output rate fo
Agata [3.3K]

Answer: the Russell family used their sprinkler for 40 hours.

the Gonzalez family used their sprinkler for 20 hours.

Step-by-step explanation:

Let x represent the number of hours for which the Russell family used their sprinkler.

Let y represent the number of hours for which the Gonzalez family used their sprinkler.

The families used their sprinklers for a combined total of 60 hours. It means that

x + y = 60

The water output rate for the Russell family's sprinkler was 35L per hour. The water output rate for the Gonzalez family's sprinkler was 40L per hour. The total water output of both families was 2200L. It means that

35x + 40y = 2200- - - - - - - - - - --1

Substituting x = 60 - y into equation 1, it becomes.

35(60 - y) + 40y = 2200

2100 - 35y + 40y = 2200

- 35y + 40y = 2200 - 2100

5y = 100

y = 100/5

y = 20

x = 60 - y = 60 - 20

x = 40

5 0
2 years ago
Write an equation of the line through (3,-5) and perpendicular to 3y=x-6
Alona [7]
3y = x - 6
y = 1/3x - 2. 
slope her is 1/3. A perpendicular line will have anegative reciprocal slope. To find the negative reciprocal of a number, u flip the number and change the sign. So the slope we need os -3/1 or just -3.(see how I flipped the slope and changed the sign)

y = mx + b
slope(m) = -3
(3,-5)...x = 3 and y = -5
now we sub and find b, the y int
-5 = -3(3) + b
-5 = -9 + b
-5 + 9 = b
4 = b

so ur perpendicular equation is : y = -3x + 4
3 0
2 years ago
Other questions:
  • the height of the gem stone is 2.668 centimeters. the volume of the gem stone is 7.4793cubic centimeters. what is the side lengh
    7·1 answer
  • A research center poll showed that 79% of people beleive that it is morally wrong to not report all income on tax returns. What
    12·1 answer
  • I really need help on my geometry homework!!!!! PLEASE HELP ME!!!!
    14·1 answer
  • Find x using the Law of Cosines. Round to the nearest tenth.
    8·1 answer
  • What is the answer to (13x+30)-(20x+6)
    8·1 answer
  • Graph this function using intercepts: <br><br>4x - 5y = 40 ​
    5·2 answers
  • 1.
    8·2 answers
  • To estimate a proportion of students with a grade point average of 3.7 and higher in a college, a random sample of 200 students
    5·1 answer
  • Find the value of y.
    14·2 answers
  • Which is a tangent of circle P?pls helpt ASAP!!!!
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!