Find the solution(s) to 8x^2 - 56x = 0. check all that apply. a. x= 7 b. x= 0 c. x= -6 d. x= 6 e. x= -7

Answers: X=7, X=0

Step-by-step explanation:

See file attached.

  [A]:  " x = 7 " ;

                [B]:  " x = 0 " ;

Step-by-step explanation:

Given:  " 8x²  -  56x  = 0 " ;

Find the solutions for "x" ;

Divide Each Side of the equation by:  "8" ; to simplify:

   { 8x²  -  56x }  / 8  =  {0 } / 8  ;

to get:

    x²  -  7x  =  0 ;

Now, from the "left-hand side" of the equation:

 we can factor out an "x" :

  x (x  - 7 ) ;

and rewrite the equation:

  x (x  - 7 ) = 0 ;

Note that "any value", multiplied by "zero" , equals "zero");

So, the equation holds true when:

x = 0 ;

and when:

x - 7 = 0 .

When:  " x - 7 = 0 " ;  what does "x" equal?

           Add  " 7 " to both sides of the equation;

              to isolate "x" on one side of the equation; & to solve for "x" ;

            " x - 7 + 7 = 0 + 7 " ;

                  to get:

             " x = 7 ".

So:  The solutions are:  " x = 0 " ;   which is:  Answer choice: {B]:

                              and:  " x = 7 " ;   which is:  Answer choice  [A]:

  The answers are:  [A]:  " x = 7 " ;  and :

                                  [B]:  " x = 0 " .

Hope this helps!

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80π/3 or about 83.775

step-by-step explanation:

since a cone is 1/3 of a cylinder, we need to find the base's area. since area = πr^2, we get 16π. then, multiplying this by 5, we get 80π. dividing by 3, since the cone's volume is 1/3 of that of a cylinder's, we get 80π/3.

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