Is this multiple choice ? If so please list the answers
        
             
        
        
        
Answer:
If a system has at least one solution, it is said to be consistent. If a consistent system has exactly one solution, it is independent.
Step-by-step explanation:
 
        
             
        
        
        
(81m^6)^1/2 = (3^4*1/2) (m^6*1/2) = 3²m³
        
             
        
        
        
a) The equation of line k is:

b) The equation of line j is:

The equation of a line, in <u>slope-intercept formula</u>, is given by:

In which:
- m is the slope, which is the rate of change.
- b is the y-intercept, which is the value of y when x = 0.
Item a:
- Line k intersects line m with an angle of 109º, thus:

In which  and
 and  are the slopes of <u>k and m.</u>
 are the slopes of <u>k and m.</u>
- Line k goes through points (-3,-1) and (5,2), thus, it's slope is:

- The tangent of 109 degrees is  
- Thus, the slope of line m is found solving the following equation:






Thus:

It goes through point (-2,6), that is, when  , and this is used to find b.
, and this is used to find b.





Thus. the equation of line k, in slope-intercept formula, is:

Item b:
- Lines j and k intersect at an angle of 90º, thus they are perpendicular, which means that the multiplication of their slopes is -1.
Thus, the slope of line j is:


Then

Also goes through point (-2,6), thus:



The equation of line j is:

A similar problem is given at brainly.com/question/16302622
 
        
             
        
        
        
So if you're asked to graph a function and its inverse, all you have to do is graph the function and then switch all x and y values in each point to graph the inverse. Just look at all those values switching places from the f(x) function to its inverse g(x) (and back again), reflected over the line y = x.