The given points are
P = (-4,11)
Q = (-5,8)
The x-component of vector QP is
-4 - (-5) = 1
The y-component of vector QP is
11 - 8 = 3
The vector QP is
(1,3) or

The magnitude of the vector is
√(1² + 3²) = √(10)
Answer:

The magnitude is √(10).
Answer:
x = 4y/3
Step-by-step explanation:
y = 3x/4
Multiply both sides by 4.
4y = 3x
Divide both sides by 3.
x = 4y/3
There are no real roots for a negative number, so -81 has no real roots, if the number is 81 however, then the tow roots are 9
The return trip was 21.2 hours long.
Step-by-step explanation:
Given,
Speed of plane from US = 212 mph
Speed of plane on return trip = 232 mph
Let,
x be the time taken on return trip.
Time taken from US = x+2
We know that;
Distance = Speed * Time
Distance of plane from US = 212(x+2) = 212x+424
Distance on return trip = 232x
As the distance will be same, therefore,

Dividing both sides by 20

The return trip was 21.2 hours long.
Keywords: distance, speed
Learn more about speed at:
#LearnwithBrainly
To solve a function like this, simply put the numerical value in place of the unknown variable for which you have to find the solution, for instance '-3' in this case.
g(x) = 2x-2
so to find g(-3), we just need to replace the x in the given expression by '-3'. Working is shown below:
g(x) = 2x-2
putting '-3' in place of x
g(-3) = 2(-3) - 2
g(-3) = -6 -2
g(-3) = -8