Answer:
Step-by-step explanation:
drain empties 1/10 of the desired amount per minute
pump fills 1/14 of the desired amount per minute
when both are active, the net drain is 1/10-1/14 = 1/35 of the desired amount per minute
It takes 35 minutes to reach the cut-off level.
-1 > -2(x-4) - 5(4x - 7)
-1 > -2x + 8 - 20x + 35
-1 > -22x + 43
-1 - 43 > - 22x
-44 > - 22x
-44/-22 < x
2 < x....or x > 2
Answer:








Step-by-step explanation:
Given



Solving (a): NK
MK is a diagonal and NK is half of the diagonal. So:



Solving (b): JL
JL is a diagonal, and it is twice of NL.



Solving (c): KL
To solve for KL, we consider triangle KNL where:

and





Solving (d - h):
To do this, we consider triangle JKN
-- diagonals bisect one another at right angle
Alternate interior angles are equal. So:

Similarly:


So:







Answer:
a-50 b-300
Step-by-step explanation:
Answer:
3x+y=8 and 3x+y=9
Step-by-step explanation:
Assume these two equations:
a1x+b1y+c1=0
a2x+b2y+c2=0
If (a1/a2) = (b1/b2) ≠ (c1/c2) than those two would have no solution.
In these case, take a look at the last option:

Re-write 'em as a standard form:

So (a1/a2) = (b1/b2) ≠ (c1/c2) is true here:

And they do not have any collision point