Given:


To find:
The obtuse angle between the given pair of straight lines.
Solution:
The slope intercept form of a line is 
 ...(i)
     ...(i)
where, m is slope and b is y-intercept.
The given equations are


On comparing these equations with (i), we get


Angle between two lines whose slopes are  is
 is

Putting  and
 and  , we get
, we get



Now,
 and
 and 
 and
 and 
 and
 and 
 , so it is an obtuse angle and
, so it is an obtuse angle and  , so it is an acute angle.
, so it is an acute angle.
Therefore, the obtuse angle between the given pair of straight lines is 120°.
 
        
             
        
        
        
G(0)= 0-1= -1
f(-1)= 3(-1)+5= -3+5= 2
the answer to the question is 2
        
             
        
        
        
1/8 + 1/8 + 1/8 + 1/8 + 1/8 + 1/8 + 1/8 + 1/8 = 8/8 so 8 laps = 1 miles.
24/8= 3... so that mean he ran 3 miles around the track, to check work: 
1/8 + 1/8 + 1/8 + 1/8 + 1/8 + 1/8 + 1/8 + 1/8 = 8/8 so 8 laps = 1 miles.
1/8 + 1/8 + 1/8 + 1/8 + 1/8 + 1/8 + 1/8 + 1/8 = 8/8 so 8 laps = 1 miles.
1/8 + 1/8 + 1/8 + 1/8 + 1/8 + 1/8 + 1/8 + 1/8 = 8/8 so 8 laps = 1 miles.
if you count how many 1/8 there are you'll get 24 '1/8' therefore you know your answer is correct.
        
             
        
        
        
We have that
<span>the system 
y=2x+1
y=2x</span>²<span>+1
using a graph tool
see the attached figure
the
solution are the points
(0,1) and (1,3)
the answer is
</span><span> (0, 1)  and  (1, 3) </span>