The equation of a circle is given below. Identify the center and radius. Then graph the circle.
2 answers:
(x－3)²＋y²＝9
(x－3)²＋(y－0)²＝3²
The equation can be written in the form (x－p)²＋(y－q)²＝r², so it represents a circle with the radius r＝3 and the center (3, 0)
Hope my answer helped u :)
(x－3)²＋(y－0)²＝3²
The equation can be written in the form (x－p)²＋(y－q)²＝r², so it represents a circle with the radius r＝3 and the center (3, 0)
Hope my answer helped u :)
Answer:
- Center = (3, 0)
- Radius = 3
- Graph = see below
Concept:
Here, we need to know the idea of the circle equation.
Circle equation: (x - h)² + (y - k)² = r²
(h, k) = center
r = radius
x = variable
y = variable
Solve:
<u>Given expression </u>
(x - 3)² + y² = 9
<u>Find the point of the center</u>
(h, k) =
<u>Find the length of the radius</u>
r² = 9
Hope this helps!! :)
Please let me know if you have any questions
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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