Answer:
A circle whose center is located at point (a, b) having a radius of length r has the equation:
(x -a)² + (y -b)² = r²
(x - -3)^2 + (y -5)^2 = 2^2 =
x^2 +6x + 9 + y^2 -10y +25 =4
Step-by-step explanation:
Convert decimal into a fraction: 2^ 10267.5
Transform expression: 2^20535/2
Simplify root: √2^20535
Solution: 2^10275 x √2
<h2>
Answer:</h2>
Option: C is the correct answer.
C. 
<h2>
Step-by-step explanation:</h2>
The sequence is given by the explicit formula as:
where 
is the nth term of the sequence.
Also, the first term of the sequence is: 
i.e.
Also,
Hence, the recursive formula which represents the same sequence is:
Option: C
The answer to this question is c I think
Complete Question
We have a total of 420 students. 2 times 3 times the number of girls is equal to 2 times the number of boys how many girls and how many boys
Answer:
The number of boys = x = 315 boys
The number of girls = y = 105 girls
Step-by-step explanation:
Let
The number of boys = x
The number of girls = y
We have 420 students
2 times 3 times the number of girls is equal to 2 times the number of boys
x + y = 420..... Equation 1
2 × 3y = 2x
6y => 2x
x => 6y/2 = 3y
We substitute 3y for x in Equation 1
3y + y = 420
4y = 420
y =>420/4
y => 105
Solving for x
x = 3y
x = 3 × 105
x = 315
Therefore,
The number of boys = x = 315 boys
The number of girls = y = 105 girls
