(9x + 5) - (4x + 3) =
2 answers:
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Answer:
Step-by-step explanation:
The probability that the point is chosen in the circle is equal to the area of the circle divided by the area of the square.
Formulas used:
- Area of a square with side length
is given by
- Area of a circle with radius
is given by
The segment marked as 1 represents not only the radius of the circle, but also half the side length of the square. Therefore, the side length of the square is 2, and we have:
Area of square:
Area of circle:
Therefore, the probability that the point will be inside the circle is:
Answer:
1)
2)
3)
4)
5)
Step-by-step explanation:
According to the information given in the exercise, the value of "x" is:
Then:
1) You must substitute into the expresion
:
Now, you must evaluate:
2) You have to substitute the given value of "x" into the second expression:
Finally, evaluating, you get the following result:
3) According to the Zero exponent Rule, any non-zero number with an exponent of zero is equal to 1.
Then, substituting into the expression
and then evaluating, you get:
4) By definition:
Then, substituting into
and evaluating, you get:
5) Since:
When you substitute the given value of "x" into the last expression and then you evaluate, you get: