Question

The total number of units sold in 2004 of a particular electronic device was 10 million. In 2008, 50 million units of the item were sold. Approximately, how many of the item will be sold in 2025? Why?

Answer 1

To find the point of intersection of two lines, set their equations equal to each other and solve for the values of t and s that satisfy the equation. Given the equations r₁(t) = ⟨-4,2,2⟩+t⟨-9,3,4⟩ and r₂(t) = ⟨12,0,-4⟩+s⟨10,-5,-5⟩, set the x, y, and z components of the equations equal to each other and simplify the equations to find the values of t and s.

Step-by-step explanation:

To find the point of intersection of two lines, we need to set their equations equal to each other and solve for the values of t and s that satisfy the equation.

Given the equations r₁(t) = ⟨-4,2,2⟩+t⟨-9,3,4⟩ and r₂(t) = ⟨12,0,-4⟩+s⟨10,-5,-5⟩, we can set the x, y, and z components of the equations equal to each other:

-4-9t = 12+10s

2+3t = 0-5s

2+4t = -4-5s

Simplifying these equations, we get:

t = -8+13s

Substituting this value of t into any of the original equations will give us the values of x, y, and z at the point of intersection.