Graph y = x 3 and y = 16/x on the same set of coordinate axes. use the graphs to find the exact solutions to the equation x 3 = 16/x . verify by substitution that they satisfy the equation.

Refer the attached figure.    

Step-by-step explanation:

Given : Equations   and  

To find : Graph both the equations and Use the graphs to find the exact solutions to the equation

Solution :

Let, ........[1]

 .......[2]

Now, we plot these two equations.

The graph of    is shown with green line.

The graph of  is shown with violet line.

Now, using the graph,

The solution to this system will be their intersection point.  

The intersection points are (2,8) and (-2,-8).

If we substitute y from [1] equation into [2]

We get,

Refer the attached figure below.

the answer is. -82562234434584

step-by-step explanation:

1. 180°. the sum of the interior angles of a triangle is 180°, for the equilateral triangle that it has three equals side is 60°+60°+60°=180°.

2. 60°. each interior angle of a equilateral triangle is 60°

3. 120°. the measure of ∠m is 120°, the sum of the angles ∠m and ∠n is equal to 180°. so, in order to find the measure of ∠m, we have ∠m+∠n=180° > ∠m=180°-∠n > ∠m=180°-60°=120°.

4. 360°. the sum of the exterior angles of an equilateral triangle is ∠m+∠r+∠x=120°+120°+120°=360°. the exterior angles of any triangle always add 360°.