Answer:outside
Step-by-step explanation:
The point (2,6) lies outside of the circle
For part a: you just need to find how far the vertex has been moved from the origin, or the point (0,0). As the vertex is at the point (2,-3), it has been translated right 2 horizontally and down 3 vertically.
For part b: you use the info found in part a to create the equation in the form of y=A(x-h)^2+k. In this case, A =1, so you can ignore it. The h value is the horizontal distance the vertex has been moved. Since it has been moved right 2, this part of the equation would be (x-2). I know it seems like it should be plus 2, but values in parentheses come out opposite. For the k value, find the vertical shift, which is down3, or -3.
Now that you have h and k, substitute them back into the equation.
Your final answer for part b is: y=(x-2)^2 -3.
The probability that a point is chosen randomly inside the rectangle is either in the circle or in the trapezoid is 0.23 option first is correct.
<h3>What is probability?</h3>
It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.
The area of the rectangle = 30×21 = 630 square m
The total outcomes = 630 square m
The favorable outcomes = area of the circle + area of the trapezoid
= π(5)² + [(11+15)/2]×5
= 78.53 + 65
= 143.53 square m
Probability(a point chosen randomly inside the rectangle is either in the circle or in the trapezoid):
= 143.53/630
= 0.227 ≈ 0.23
Thus, the probability that a point is chosen randomly inside the rectangle is either in the circle or in the trapezoid is 0.23 option first is correct.
Learn more about the probability here:
brainly.com/question/11234923
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