Answer:
Given: 
.
Assuming that 
, 
while 
.
Step-by-step explanation:
By the Pythagorean identity 
.
Assuming that , 
.
Rearrange the Pythagorean identity to find an expression for 
.
.
Given that :
.
Hence, 
would be:
.
Suppose the larger pump alone can empty the tank in L hours, and the smaller pump can finish the job in S hours, then each hour the large pump empties 1/L portion of the tank, and the small pump empties 1/S per hour
Working together for three hours, they empty the whole tank, which is 100% of it, so 3/L+3/S=100%=1
Larger pump can empty the tank in 4 hours less than the smaller one, so L=S-4
replace L: 3/(S-4)+3/S=1
Make the denominator the same to solve for:
3S/[S(S-4)] +3(S-4)/[S(S-4)]=1
(3S+3S-12)/[S(S-4)]=1
(3S+3S-12)=[S(S-4)]
S^2-10s+12=0
use the quadratic formula to solve for S
S is about 8.6
The answer is not whole hour.
Answer: She babysat 7 hours
Step-by-step explanation:if you take the knowledge you have; she charges 6$ per hour. and lily mad 42$ you can divide 42 by 6 to get the answer of 7
Answer:
y = [1]x + [-5 ]
Step-by-step explanation:
the equation is : y = ax+b
the slope is a : a =1 ( same slope parrallal to the line : y= x-3 )
the line that passes through (3, -2) : -2 = (3)+b
b = -5
the equation is : y = x-5
