To simplify a fraction, look for the common factors in the numerator and denominator.
If you find any, divide the numerator and denominator each by their common factor.
' 9 ' and ' 11 ' have no common factor except ' 1 '.
The fraction 9/11 is already in simplest form. It can't be simplified.
The time to fill the sink if Blake forgets to put in the stopper would be 15 mins.
Step-by-step explanation:
Given that,
The kitchen sink can fill in: 6 mins
The sink can drain in: 10 mins
We have to find the time to fill the sink if Blake forgets to put in the stopper. For that,
Lets say, the full tank = 1
Filling rate = 
Drainage rate = 
Hence, the time to fill the tank would be:

(Multiply by LCM)


x = 15
Hence, the time to fill the sink if Blake forgets to put in the stopper would be 15 mins.
Hi there!
Parabola x² = 12y
→ x² = 4ay
→ 4a = 12
→ a = 12÷4
→ a = 3
So, the co-ordinates of the focus is:-
S(0,a)=(0,3)
→ Let AB be the latus rectum of the given parabola.
→ Coordinates of end-points of latus rectum are (-2a,a), (2a,a)
→ Coordinates of A are (-6,3), while B's coordinates are (6,3).
→ ∆OAB are O(0,0), A(-6,3), B(6,3)
Area of ∆OAB is :-
(<em>Solving part attached as image</em>)
=> <u>1</u><u>8</u><u> </u><u>unit</u>² is the required answer.
Multiply the first equation by 7 and the second equation by 2, and then add.
Step-by-step explanation:
2f - 5g=-9
-7f + 3g=4
To eliminate any variable , we need to make the coefficients same with different sign and add it
the coefficient of 'f' in first equation is 2
the coefficient of 'f' in second equation is -7
We already have different sign so we make the coefficients same
To make the coefficient same , we multiply the first equation by 7 and second equation by 2
So equation becomes
14f - 35g = -63
-14f + 6g = 8
Now when we add both equations, 'f' gets cancelled
-29g = -55