Remove the parentheses and combine the like terms:
7 - -9 = 7+ 9 = 16
6i - -8i = 6i +8i = 14i
The answer is 16 + 14i
We know, shortest distance between two points 
and 
is :
So, distance between house and library is :
Distance between library and post office :
Distance between post office and house :
Therefore, minimum distance that you can ride your bike is (5.39+7.07+7) km = 19.46 km.
Hence, this is the required solution.
Answer:
[see below]
Step-by-step explanation:
A function's inputs do not repeat. This means that any point with the x-value not repeated with the other points can be added to ensure that it continues as a function.
In this scenario:
{x| x ≠ -7, 4, 0, -2}
A point that does not have the x-value of -7, 0, 4, and -2 could be added to the relation to ensure it continues to be a function.
Hope this helps.
Look you math book up on sladder and it'll have all the answers for free!!!!!!!!!!!!!!!
9514 1404 393
Answer:
5 miles
Step-by-step explanation:
It may get a bit messy, but we can solve for the desired value directly. Let d = the distance walked (in miles). Then 20-d is the distance traveled in the car. The relevant relation is ...
time = distance / speed
The total travel time is 9:00 -6:50 = 2:10 = 2 1/6 hours = 13/6 hours. Here is the equation for total travel time.
total time = time spent walking + time spent riding
13/6 = (d/3) + (20-d)/30
Multiplying by 30 gives ...
65 = 10d + 20 -d
45 = 9d . . . . . . . . . . subtract 20
5 = d . . . . . . . . . . . . divide by 9
The girl walked 5 miles.
_____
<em>Check</em>
Her walking time was (5 mi)/(3 mph) = 5/3 h = 1:40.
Her riding time was (15 mi)/(30 mph) = 1/2 h = 0:30.
Her total travel time was 1:40 +0:30 = 1:70 = 2:10, as required.
