Answer:
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Step-by-step explanation:
square roots and pie are irrational.
Answer:
The equation of the parabola is (x-2)^2 = 48(y-5)
Step-by-step explanation:
Mathematically, we can obtain the equation of a parabola from its focal point and the directrix given.
Firstly, we need to find the distance between the director and the vertex
That would be ;
|-7-(5)| = 12
We should kindly note that the directrix is below the vertex and thus it is a right-side parabola with a positive value of p = 12
Thus, the equation needed would be;
(x-h)^2 = 4p(y-k)
From the question, h = 2
p = 12 ( calculated) and k = 5
So the equation would be;
(x-2)^2 = 4(12)(y-5)
= (x-2)^2 = 48(y-5)
The required probability is
<u>Solution:</u>
Given, a shipment of 11 printers contains 2 that are defective.
We have to find the probability that a sample of size 2, drawn from the 11, will not contain a defective printer.
Now, we know that,
Probability for first draw to be non-defective
(total printers = 11; total defective printers = 2)
Probability for second draw to be non defective
(printers after first slot = 10; total defective printers = 2)
Then, total probability
Answer:
I think the answer is a .
The value of x from the given triangle is 32√3/3
<h3>SOH CAH TOA identity</h3>
In order to determine the value of x, first we need to determine the hypotenuse side of the smaller triangle.
sin 60 = 8√2/H
H = 8√2/sin60
H = 8√2 * 2/√3
H = 16√2/√3
H = 16√6/3
For the value of x, we will use the expression
sin45 = (16√6/3)/x
1/√2 = 16√6/3x
3x = 16√12
3x = 32√3
x = 32√3/3
Hence the value of x from the given triangle is 32√3/3
Learn more on SOH CAH TOA here: brainly.com/question/20734777
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