Answer:
The equation for circle of radius 
centered at the point 
is:
Step-by-step explanation:
To derive this equation, we need the formula for the distance between two points in the plane. If the point is given by its cartesian coordinates, we can use the Pythagorean theorem to find what the distance between the points is.
Lets say we have two points, one given by cartesian coordinates P:(x,y) and the other given by cartesian coordiantes C:(h,k)
(see diagram)
We can see that
and by the pythagorean theorem we have:
Where 
is the distance between the points
Now, combining the last three equations we find:
We know that the definition of a circle is the locus of points that are at a distance r from a point called the center of the circle. if we take C:(h,k) as the center of the circle, and 
, the last equation becomes:
And that is the result we wanted.
Answer:
50.265
Step-by-step explanation:
Sorry if its wrong
The answer is: " 75 minutes " .
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Note:
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1 hour and 15 minutes = [60 + 15] minutes = 75 minutes .
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Answer:
Having brown hair and having freckles are not necessarily independent events
Step-by-step explanation:
We are given the following information in the question:
Percentage of children having brown hairs = 46%
Percentage of people children having freckles = 25%
But it cannot be concluded that
German children of Caucasian descent are brown‑haired with freckles =
This is not always true because of the following reasons:
Brown hair and having freckles are not necessarily independent events.
We can not assume that event of a child having brown hair is independent of the event of child having freckles. The events could be dependent as well.
The above will only be true when event of a child having brown hair is independent of the event of child having freckles.
If the events are independent then,
Answer:
GCF=1
Step-by-step explanation:
Lets factor both numbers:
the factors of 8:
1,2,4,8
the factors of 13:
1,13
The largest number in common is 1
