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
zmey [24]
3 years ago
11

.

Mathematics
2 answers:
serious [3.7K]3 years ago
7 0

Answer:

(C) (4,−8) and (4, 12)

Step-by-step explanation:

took the test

iren2701 [21]3 years ago
3 0

Answer:

(4,-8) and (4, 12)

Step-by-step explanation:

The equation of the hyperbola given is:

\frac{(y-2)^2}{64}-\frac{(x-4)^2}{36}=1

The general form of this hyperbola would be:

\frac{y^2}{a^2}-\frac{x^2}{b^2}=1

Thus, we can see that:

a^2 = 64

a = 8

and

b^2 = 36

b = 6

The distance from one focus to center is called "c", it goes by formula:

c^2=a^2+b^2

Let's find c:

c^2=8^2 + 6 ^2\\c^2=100\\c=10

This is a vertical hyperbola and the center is found from the x and y's on the numerator:

(y-2)^2 means y = 2

(x-4)^2 = x = 4

Center is (4, 2)

We go 10 units vertically up, so from y = 2 , ten units up makes it y = 12

x = 4 and y = 12

(4,12)

We go 10 units vertically down, so from y =2, ten units down makes it y = -8

x = 4 and y = -8

(4, -8)

<u>Foci coordinates:</u>

<u>(4,12) and (4,-8)</u>

You might be interested in
If you place a 10-foot ladder against the top of a 6-foot building, how many feet will the bottom of the ladder be from the bott
Anika [276]

Answer: 8 feet

Step-by-step explanation:

Draw a right triangle and label the sides using the given information. (Drawing below) Use pythagorean theorem to find the missing length:

a^2 + b^2 = c^2

(building)^2 + (missing piece)^2 = (ladder)^2

6^2 + x^2 = 10^2

36 + x^2 = 100. subtract 36

x^2 = 64. square root of both sides

x = 8

6 0
2 years ago
PLEASE HELP NEED DONE ASAP !! I WILL REWARD BRAINLIEST
strojnjashka [21]
39,916,800 is the answer
4 0
3 years ago
The number 6458 rounded to the nearest thousand
Murrr4er [49]

Answer:

6500

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
Eleven less than 5 times a number is 24
aleksandrvk [35]
Algebraically, that would be 5n - 11 = 24
6 0
3 years ago
Find the slope of the line that passes through (5,12) and (9,7)
omeli [17]

The slope will be the difference between the y-coordinates divided by the difference between the x-coordinates:

then the slope of the line is:

m=\frac{12-7}{5-9}=\frac{5}{-4}=-\frac{5}{4}

8 0
1 year ago
Other questions:
  • Combining like terms <br><br> simplify each expression<br> -v + 12v
    8·2 answers
  • Luke is planning to lay two decorative pieces of wood across the 12-inch by 24-inch rectangular glass centerpiece of a cabinet.
    10·2 answers
  • Liam has 12 red balloons and 14 blue balloons. He puts all of his balloons in 2
    9·1 answer
  • julia anits 2-6 of a wall in her room white. she aints more of the wall green.which frction could show the art of the wall that
    6·1 answer
  • Write 16 1/2 as an improper fraction
    6·2 answers
  • Find the value of the expression 2 · q for q = 5
    8·1 answer
  • Gary wrapped a cube shaped gift box with wrapping paper.The box was 8 inches long.What was the minimum amount of paper Gary coul
    10·2 answers
  • May somebody help me please.
    11·2 answers
  • A little boy mass 10kg is placed at a height of 2cm above the ground,what is the potential energy of the boy with reference to t
    13·1 answer
  • On a coordinate plane, a straight red line with a negative slope, labeled g of x, A graph shows the number of texts, numbered 10
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!