(X^4/6y)^-2 (y-2/4x-1)^3

{x,y} = {1/3,1/9}

Step-by-step explanation:

Solution :

{x,y} = {1/3,1/9}  

System of Linear Equations entered :

  [1]    4x + 6y = 2

  [2]    -4x + 3y = -1

Graphic Representation of the Equations :

   6y + 4x = 2        3y - 4x = -1  

Solve by Substitution :

// Solve equation [2] for the variable  y  

 [2]    3y = 4x - 1

 [2]    y = 4x/3 - 1/3

// Plug this in for variable  y  in equation [1]

  [1]    4x + 6•(4x/3-1/3) = 2

  [1]    12x = 4

// Solve equation [1] for the variable  x  

  [1]    12x = 4  

  [1]    x = 1/3  

// By now we know this much :

   x = 1/3

   y = 4x/3-1/3

// Use the  x  value to solve for  y  

   y = (4/3)(1/3)-1/3 = 1/9  

Solution :

{x,y} = {1/3,1/9}

by definition, an arc subtended by a central angle of some given measure has the same measure. so .

- "runner b is moving at a slower rate."

- "the graphs shown are graphs of distance(km) against time(min).

the slopes of this graphs are are given by:

slope = (change in y)/(change in x)

= (change in distance)/(change in time)

this is the formula for finding the speed. so, the slope of these graphs represent the speed of the runner.

taking each division in the graph to represent 1 on both axis:

runner a ⇒ speed = (2-0)/(1-0)

= 2/1

= 2 km/min

runner b ⇒ speed = (3-0)/(3-0)

= 3/3

= 1 km/min

this shows that   runner b is moving at a slower rate."