Answer:
For this case we have the following expression:
(x ^ 6y ^ 8) ^ 3 / x ^ 2y ^ 2
Rewriting and for power properties we have:
(x ^ 18y ^ 24) / x ^ 2y ^ 2
(x ^ (18-2) y ^ (24-2))
(x ^ 16y ^ 22)
Answer:
The equivalent expression is given by:
(x ^ 16y ^ 22)
Since it is two negatives you are actually adding so -3 +4 would equal 1
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).
The work is down below. your answer is m=8.
Answer:
y = 45x miles
Step-by-step explanation:
Speed is the rate of change of distance with time. Mathematically,
speed = distance/time
Given that Darla travels at a constant speed of 45 miles per hour and for y miles, it takes her x hours then
45 = y/x
multiply both sides by x
45x = y
then the number of miles (y) Darla can drive in x hours
y = 45x (in miles)