A circle with equation:
( x + 3 )² + ( y - 2 )² = 36
Center of a circle: C ( - 3, 2 )
r = 6 ( the radius of a circle stays the same )
After shifting 3 units left : C 1 ( - 6, 2 ).
Answer:
( x + 6 )² + ( y - 2 )² = 36
Answer:
10
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
3x−5=
1
2
x+2x
3x+−5=
1
2
x+2x
3x−5=(
1
2
x+2x)(Combine Like Terms)
3x−5=
5
2
x
3x−5=
5
2
x
Step 2: Subtract 5/2x from both sides.
3x−5−
5
2
x=
5
2
x−
5
2
x
1
2
x−5=0
Step 3: Add 5 to both sides.
1
2
x−5+5=0+5
1
2
x=5
Step 4: Multiply both sides by 2.
2*(
1
2
x)=(2)*(5)
x=10
The interval notation is
Explanation:
The inequality is
Let us complete the square, we get,
Simplifying, we have,
Adding both sides of the equation by 11, we get,
Since, we know that for , if n is even then
Thus, writing the above expression in this form, we get,
Also, if then and
Then ,we have,
and
Solving the inequalities, we get,
and
Merging the intervals, we have,
Hence, writing the solution in interval notation, we have,
Therefore, the answer is
Answer:
The answer is %14.
Step-by-step explanation:
Lets consider that there are 100 people attending to the gym class.
Then we know that 45 person is going to Zumba training.
%5 of people attends all the classes in the gym. Means 5 person attends all the classes. Lets subtract them from 45 person. 45-5=40. We have 40 person left.
%15 of people attends Zumba and yoga, %21 of people attends Zumba and weight lifting. First we need to substract first %5 which attends all classes in the gym from both clusters.
21-5=16 and 15-5-10
We have 10+16=26 person which attends Zumba and one more class. Lets subtract those from Zumba cluster 40-26=14. 14 person is only attending to Zumba classes