A laser is raised 9 in. up of a reflective table and pointed so that the beam hits the table 10 in. from the edge. The laser beam follows a path defined by the absolute value function:
v(j)=45j-10
where v is the vertical height and j is the horizontal position from the edge of the table. Use an absolute value model to find the horizontal position(s) where the laser’s beam is 5 in. above the table.
Ms. Sue please help me out ;(
Sorry, but I don't know.
It's fine... :/ I'm gonna try and figure it out... wish me goodluck!
Good luck. If you post your answer, one of our math tutors can probably help you.
To find the horizontal position(s) where the laser's beam is 5 in. above the table, we need to set up and solve an equation using the absolute value function.
The absolute value function v(j) = 45j - 10 represents the vertical height of the laser beam above the table at a given horizontal position j.
We want to find the horizontal position(s) where the laser's beam is 5 in. above the table. In other words, we want to find the value(s) of j that satisfy the equation v(j) = 5.
Setting up the equation:
v(j) = 45j - 10
We want v(j) = 5
So we have the equation:
45j - 10 = 5
Now we can solve for j:
Adding 10 to both sides:
45j = 15
Dividing both sides by 45:
j = 15/45
j = 1/3
Therefore, the horizontal position where the laser's beam is 5 in. above the table is j = 1/3 (or approximately 0.3333).