The equation of the tangent line can be found using slope formula and fact that slope = dy/dx.

where (x0,y0) is point A ---> (0,-1)
Then rearrange equation into slope-intercept form:

Finally sub in x=0 into dy/dx to get slope at the point (0,-1)
The answer is a <span>42.857% chance which is 3/8
I'm glad to help, I hope this was helpful </span>
Answer: OPTION B
Step-by-step explanation:
You can find the distance between two points by using the following formula:

Given the points (-2,-6) and (0,5), you can identify that:

Therefore, substituting values, you get that the distance between those points is:

When multiplying by 4, you can simply multiply it by 2 twice (prime factorization).
In this example-
4 times 8 = 32
2 times 2 times 8 = 32
Hope this helped!
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Answer:
Theoretical probability
Step-by-step explanation:
The theoretical probability is defined as:

In this case we look for the probability of taking a 2 out of the bag. As there is only one paper with the number 2 in the bag then:
number of desired results = 1
The amount of paper in the bag is equal to 7, so:
number of possible results = 7
Thus:

This is a theoretical probability, since we do not need to perform the experiment to calculate the probability.
To calculate the experimental probability we must perform the following experiment:
Take a paper out of the bag, record the number obtained and then return the paper to the bag.
Now repeat this experiment n times. (Perform n trials)
So:

To calculate a theoretical probability you always need to perform an experiment with n trials.