Which inequalities would have a closed circle when graphed? Check all that apply.
2 answers:
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Answer:
Step-by-step explanation:
Total number of the students in the pep squad = 12 students
The number of the students wearing white shirts = 3 students
The number of the students wearing blue shirts = 6 students
Either white or blue shirts indicate that the students wearing white shirt or blue shirt.
Thus, number of students wearing either white or a blue shirt = 3 + 6 students = 9 students
So,
The fraction is:-
Answer:
The center of the circle is .
Its radius is .
Step-by-step explanation:
Let represent the center of the circle, and let
represent the radius of this circle. The equation for the circle would be:
.
Expand the left-hand side of this equation using the binomial expansion:
.
.
Compare this equation with the one given in the question:
.
These two equations should represent the same circle. For that to happen, the coefficients should match. That gives a few equations about ,
, and
.
- The coefficients for
should match:
.
- The coefficients for
should match:
.
- The constant terms should match:
.
However, it is already determined that and
. That means
.
.
Hence, the radius of this circle is . Also, its center is at
.