Answer:
Step-by-step explanation:
A=2i+3j+4k
B=i-2j+3k
Sum of the vectors:
A + B = 2i+3j+4k + i-2j+3k = 3i + j + 7k
Direction of the sum of the vectors:

1.53 rounded to the nearest tenth is 1.5
Answer:
Choice C is correct
Step-by-step explanation:
The first step is to re-write the equations in exponential form.
The first equation can be written as;
since the base is 10 and 4 the exponent.
The second equation can be written as;

The second step is to make N the subject of the formula in both equations.
Solving for N from this equation
, yields;

Solving for N from the second equation
, yields;

Therefore;

Answer:
Isolate the variable by dividing each side by factors that don't contain the variable.
4(x−7)=2(x+3)
Simplify both sides of the equation.
4(x−7)=2(x+3)
4x+−28=2x+6
4x−28=2x+6
Subtract 2x from both sides.
4x−28−2x=2x+6−2x
x−28=6
Add 28 to both sides.
2x−28+28=6+28
2x=34
Divide both sides by 2.
2x/2 = 34/2
x = 17
Answer:
miles per minute represents the speed of the bird and 3 miles represents the original distance of the bird from its nest.
Step-by-step explanation:
As there is no graph mentioned here but the information are quite sufficient to answer the question.
We have points 
From these points we can find the slope of the line .
From point slope formula 
And assigning
and

This slope is also the speed of the bird which is 
As by plugging the values of any coordinate point we can confirm this.
Lets put
, y-axis is the distance so in
minutes the the distance covered by the bird must be equal to to y-axis value which is
miles.

Now as in
the bird has started from y-intercept value
so we can say that,the original distance of the bird from its nest is
.
So the correct choices are:
and 
The birds speed is
per minute and is
away from its nest.