While playing pool, you try to shoot the eight ball into the corner pocket. Imagine that the coordinate plane is placed over the pool table. The eight ball is at ( 4, 3⁄4) and the pocket you are aiming for is at (10,4). You are going to make a bank shot at (6, 0).
a.) Write an equation for the path of the ball. b.) Do you make your shot? Why or why not?

Step-by-step explanation:

to go from (4, 3/4 ) to (6, 0) you need

a line with slope m= (y2-y1)/(x2-x1) = -0 / 4-6 =

use the quation of a line point-slope

(y-y1)=m(x-x1)

substitute m= -3/8 and (x1,y1) with (6,0)

Now does point (10,4) where is the aim is verified by this equation?

substitute x=10, y=4 in the equation to check

4= -3(10-6)/8

4= -3*4/8

4=-3/2 this is never true so you do NOT make the shot

(- 1, 0 )

step-by-step explanation:

an x- intercept is where the function crosses the x- axis.

to find the x- intercept/s look for the value of x when f(x) = 0

from the given table there are 3 values of x where f(x) = 0

when x = - 1, x = 2, x = 3

the one that is listed is (- 1, 0 )

step-by-step explanation:

we can use this expression to calculate the energy gain as a particle moves with a field or the energy loss as it moves against it. (note that it is also used to define the electron-volt, a unit of energy equal to that gained by an electron as it falls through a pd of 1 v, i.e. w = 1 ev = 1.6 10-19 c 1 v = 1.6 10-19j).in fact this expression is really nothing more than the statement that potential is the potential energy per unit charge. in this case, v= w/qis simply stating that the change in potential energy(or work done) per unit charge is equal to the change in potential (or potential difference), v.student questions: uniform electric fields2electron beamcathode+5 kvanode0 v