Find a vector of magnitude 3 in the direction of v=4i-3k

Step-by-step explanation:

The magnitude of a vector v = ai + bk is

In this problem, we have that:

Find a vector of magnitude 3 in the direction of v=4i-3k:

The first step is finding the unit vector of v, .

So

Magnitude 3, same direction.

We multiply the unit vector by +3, since it is in the same direction. If it was in the opposite direction, we would have multiplied by -3.

The answer is:

50 min

step-by-step explanation:

they will be decreasing both their times in half

60 / 2 = 30

40/2 = 20

30 + 20 = 50

step-by-step explanation:

f(x)=2x^2 -1 

translation is a function transformation that transform the function in a way of translating. by translating the function its graph is moved  up an down. moving the function f(x) 2 units to the left will be the new function g(x) with the equation: g(x)=f(x+2)=2(x+2)^2 -1