Is -5 a solution for the equation 5x - 12 = -5(-x + 13)

No.

Step-by-step explanation:

Substitue x = -5 in the equation 5x - 12 = -5(-x + 13)

You'll eventually get -37=-90

Is this true? No!

No I don't think so..

-53

Step-by-step explanation:

Distribute

5 − 1 2 = − 5 ( − +1 3 )

5 − 1 2 = 5 − 6 5

Add  1 2  to both sides of the equation  

5x-12=5x-65

5x−12+12=5x−65+12

Simplify

5x=5x-53

Subtract   5x  from both sides of the equation

5x=5x-53

5x-5x=5x-53-5x

Simplify

-53

Angular velocity = w = 16 revolutions per minute

w = 16 x 2π radians per minute = 32π radians per minute

Linear velocity = v = 240π inches per minute

Since the particle is moving in a circle along the fixed point(the center of the circle), the distance between the particle and the fixed point will be the radius(r) of the circle.

v = r w
r = v/w

So,

r = 240π/32π inches = 7.5 inches

Thus the distance from the fixed point to the particle is 7.5 inches. 

So, option B is the correct answer.