Information : The given hyperbola is a horizontal hylerbola with its centre (3 , -5) and one of its focus at (9 , -5) and vertex at (7 , -5) and as we can see that the focus and vertex have same y - coordinates, it must have its Transverse axis on line y = - 5.
Now,
it's vertex is given, I.e (7 , -5)
so, length of semi transverse axis will be equal to distance of vertex from centre, i.e
Now, it's focus can be represented as ;
so,
and we know, a = 4
Now, let's find the measure of semi - conjugate axis (b)
So, it's time to write the equation of hyperbola, as we already have the values of a and b ~
[ plug in the values, and h = x - coordinate of centre, and k = y - coordinate of centre ]
The answer is B) 1/4.
There are 2 outcomes in his tree that have all coins with the same side up: HHH and TTT. There are 8 total outcomes. This makes the probability 2/8 = 1/4.
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Answer:</h2>
Option: A is the correct answer.
A. -0.903
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Step-by-step explanation:</h2>
The formula to calculate correlation coefficient r is given by:
x y xy x² y²
4 23 92 16 529
5 12 60 25 144
8 10 80 64 100
9 9 81 81 81
13 2 26 169 4
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∑ 39 56 339 355 858
Also n=5 ( as there are 5 data points )
Hence, we get:
Hence, the r-value of the following data, to three decimal places is:
A. -0.932
7-3=4
9-2=7
4x7=28
Use PEMDAS for order of operations, it will save your life
Parenthesis Exponents Multiply Divide Add Subtract
Multiply and Divide and Add and Subtract can be switched around with each other, but multiply and divide always happens before add and subtract. The reason you add first here is because it is in the parenthesis.
Answer: 5x^{3} +x^{2} +3
Step-by-step explanation:
