In the first case we'd subtract 1 from both sides, obtaining |x-1|<14.
In the second case we'd also subtract 1 from both sides, and would obtain
|x-1|>14.
What would the graphs look like?
In the first case, the graph would be on the x-axis with "center" at x=1. From this center count 14 units to the right, and then place a circle around that location (which would be at x=15). Next, count 14 units to the left of this center, and place a circle around that location (which would be -13). Draw a line segment connecting the two circles. Notice that all of the solutions are between -13 and +15, not including these endpoints.
In the second case, x has to be greater than 15 or less than -13. Draw an arrow from x=1 to the left, and then draw a separate arrow from 15 to the right. None of the values in between are solutions.
The slope:
m = ( y2 - y1 ) / ( x2 - x1 ) = ( 8 2 ) / ( 3 - 2 ) = 6 / 1
m = 6 ( we have the same slope for AB and A`B` )
AB = √[( 3 - 2 )² + ( 8 - 2 )²] = √37
A`B` = 3.5 √37 = 21.29
<span>4 x 101^2
------------- = 0.5 x 10^5 = 5 x 10^4
</span><span>8 x 10^7
answer is C.
</span><span>C) 5 x 10</span>^4
Answer:
Annie walked 1 11/12 miles
Step-by-step explanation:
Trail= 4 1/2 miles
Annie ran the first 2/3 miles
Remaining miles= Total miles - Miles covered first
= 4 1/2 - 2/3
= 9/2 - 2/3
= 27-4 / 6
= 23/6 miles
Remaining miles = 23/6 miles
Annie walked for 1/2 of the remaining distance
1/2 of the remaining miles= 1/2 × 23/6
=23 / 12
= 1 11/12
Annie walked 1 11/12 miles
