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1 answer:
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The coordinates of vertex B' is .
<h3>How to calculate the coordinate of point by reflection</h3>
A point if reflected across the line by means of the following formula:
(1)
Where:
- Original point
- x-Coordinate of point P
- Resulting point
If we know that and
, then the coordinates of the vertex is:
The coordinates of vertex B' is .
To learn more on reflections, we kindly invite to check this verified question: brainly.com/question/1878272
Answer:
(a) 120 choices
(b) 110 choices
Step-by-step explanation:
The number of ways in which we can select k element from a group n elements is given by:
So, the number of ways in which a student can select the 7 questions from the 10 questions is calculated as:
Then each student have 120 possible choices.
On the other hand, if a student must answer at least 3 of the first 5 questions, we have the following cases:
1. A student select 3 questions from the first 5 questions and 4 questions from the last 5 questions. It means that the number of choices is given by:
2. A student select 4 questions from the first 5 questions and 3 questions from the last 5 questions. It means that the number of choices is given by:
3. A student select 5 questions from the first 5 questions and 2 questions from the last 5 questions. It means that the number of choices is given by:
So, if a student must answer at least 3 of the first 5 questions, he/she have 110 choices. It is calculated as:
50 + 50 + 10 = 110