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>
Answer: 99/130
Payment made by any method except credit card is 95+4=99 and altogether there is three payment method including a credit card which sums up to 130.
So the probability is 99/130.
Answer:
0.8
Step-by-step explanation:
The annual factor will be found by dividing any year's population by the population of the year before. The points most easily read from the graph are the populations for years 0 and 1. Then the annual factor is ...
factor = (year 1 population)/(year 0 population) = 320/400
factor = 0.8
The product of two rational numbers is always rational because (ac/bd) is the ratio of two integers, making it a rational number.
We need to prove that the product of two rational numbers is always rational. A rational number is a number that can be stated as the quotient or fraction of two integers : a numerator and a non-zero denominator.
Let us consider two rational numbers, a/b and c/d. The variables "a", "b", "c", and "d" all represent integers. The denominators "b" and "d" are non-zero. Let the product of these two rational numbers be represented by "P".
P = (a/b)×(c/d)
P = (a×c)/(b×d)
The numerator is again an integer. The denominator is also a non-zero integer. Hence, the product is a rational number.
learn more about of rational numbers here
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