The kinetic energy. K of an object varies jointly with its mass, m, and the square of its velocity, v. The mass of an object stays the same,
but the velocity of the object is halved. How is the kinetic energy of the object affected?

The kinetic energy is halved.
The kinetic energy is doubled.
The kinetic energy is quartered
The kinetic energy is quadrupled.

The kinetic energy is quartered

Step-by-step explanation:

The kinetic energy of an object varies as the product of its mass and square of velocity. Its formula is given by :

If the mass of an object stays the same, but the velocity of the object is halved, v'=v/2. New kinetic energy becomes,

So, the new kinetic energy becomes (1/4)th of the initial kinetic energy. So, the correct option is (c).

the image of (6, 9) under a dilation is (4, 6). the scale factor is

c. y = 1/4 x + 5

step-by-step explanation:

first, put the equation of the line on the graph into slope-intercept form

(y = mx + b):   y = -4x + 8

second, a perpendicular line has to have "an opposite/reciprocal slope" to the original slope. so, find the "m" value in your original equation (it's -4, right? )

original slope: m = -4   perpendicular slope: change the sign to its opposite and find the reciprocal ("flip" the number)

new slope is now positive (b/c the original slope was negative 4), and it's 1/4 (not the original slope of 4 or 4/1)