Answer:
(4,-8) and (4, 12)
Step-by-step explanation:
The equation of the hyperbola given is:

The general form of this hyperbola would be:

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:

Let's find c:

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>
Given:
The sets are
and
.
To find:
Whether A and B are disjoint sets or not.
Solution:
Two sets are called disjoint sets if there are no common elements between them.
We have,


Clearly, there is not common elements between the set A and set B.
Therefore, the sets A and B are disjoint sets.
Answer: 3 * 10 ^3
Step-by-step explanation:
Divide the numbers
3.9 / 1.3
3
Subtract the powers of 10
10^5 / 10^2 = 10 ^ (5-2) = 10^3
The result is 3 * 10 ^3
Answer:
A
Step-by-step explanation:
The probability that the number chosen is divisible by 5 is; 1/5.
<h3>
What is the probability that the number chosen is divisible by 5?</h3>
It follows from the task content that the number of possible outcomes in the probability event is; 100. Additionally, the number of required outcomes is 20 as only 20 numbers are divisible by 5.
Ultimately, the required probability is; 20/100 = 1/5.
Read more on probability;
brainly.com/question/7965468
$SPJ1