Answer:
Step-by-step explanation:
log(1+2+3)=log1+log2+log3
LHS
log(1+2+3)
=log6
=log(1*2*3) by the log rule log(ab)=loga+ logb
=log1+log2+log3
rhs proved
Answer:
-7/9
Step-by-step explanation:
The slope of the line is -7/9
12+2/-11-7=
14/-18=
7/-9=
-7/9
Answer:
Two lines only can intersect if the lines are not parallel.
And given a linear equation:
y = a*x + b
Where a is the slope and b is the y-intercept, the general equation for a parallel line to this one is:
y = a*x + c
with the condition:
b ≠ c
So we need to have the same slope and a different y-intercept.
Then when we compare the linear function that represents the number of animals adopted with the linear function that represents the hours volunteers work at the shelter, you need to look if both equations have a different slope or not.
Let's describe the two cases:
If the lines have the same slope, then you need to see the y-intercept.
If the y-intercept is different, then the lines never do intersect.
If the y-intercept is equal, then both equations describe the same line (as both have the same slope and the same y-intercept).
If the lines have different slope, then we can conclude that the lines are not parallel, and the lines will intersect at some point.
Answer: 45 minutes
Step-by-step explanation:
On the first week she played 2 3/4 hours which translates to 2 hrs and 45 minutes (165 min), and this week she played for 3 2/4 hours which is 3 hours and 30 minutes (210 minutes)
Then just do 210 minus 165, and you'll get 45 minutes, which can also be said as 3/4 of an hour.
