Answer:

Step-by-step explanation:
The given system of equations is now reduced:
1)
,
,
,
Given
2)
By 1)
3)
2) in 1)
4)
By 1)
5)
4) in 3)
6)
Algebra
7)
Algebra
8)
7) in 4)/Algebra
9)
7) and 8) in 2)/Algebra
10)
9), 1), 7) and 8)/Algebra/Result
<h2>
The crime gets cleaned up at 2:00 PM</h2>
Step-by-step explanation:
Let the work be w.
Batman can clean up all of the crime in Gotham City in 8 hours working alone.

Robin can do the same job alone in 12 hours.

Robin starts work at 8:00 AM and Batman Joins at 10:00 AM.
Let the time of completion of work after Batman's joining be t.
We have time of working of Robin = t + 10:00 -8:00 = t + 2
So

After 4 hours of 10:00 Am work gets completed.
Time = 10:00 AM + 4 hours = 2:00 PM
The crime gets cleaned up at 2:00 PM
1/3 because only 1 and 2 is less than 3 out of the 6 numbers. 2/6 = 1/3.
Answer:

Step-by-step explanation:
The standard equation for circle is

where point (a,b) is coordinate of center of circle and r is the radius.
______________________________________________________
Given
center of circle =((-2,3)
let r be the radius of circle
Plugging in this value of center in standard equation for circle given above we have

Given that point (1,2 ) passes through circle. Hence this point will satisfy the above equation of circle.
Plugging in the point (1,2 ) in equation 1 we have

now we have value of r^2 = 10, substituting this in equation 1 we have
Thus complete equation of circle is 