Solve for the varaiables shown in the steps simplifying the expression below:
25 ⋅ 84
16
=
25 ⋅ (2a)4
24
=
25 ⋅ 2b

The value of 'a' is 3, 'b' is 12, and 'c' is 13 and this can be determined by using the arithmetic operations.

Given :

Expression -  

The value of a, b, and c can be determined by following the below calculations:

Further, simplify the above expression:

the above equation holds good when the value of 'a' is 3.

Further, simplify the above expression:

the above equation holds good when the value of 'b' is 12.

Further, simplify the above expression.

the above equation holds good when the value of 'c' is 13.

For more information, refer to the link given below:

link

a=3

b=12

c=13

Step-by-step explanation:

(see attached)

for this case we have by definition, if two lines are perpendicular, then the product of their slopes is -1.

then, given the following line:

so,

we are looking for m_ {2}:

then, the line is given by:

we find "b" replacing the given point:

finally, the equation is:

option c