Parallel = same slope
Find slope of 3x + 5y = 8
Turn into y = mx + b
5y = -3x + 8
Divide by 5
y = -3/5x + 8/5
Slope is -3/5
Y = -3/5x + b, find y intercept
Plug in the point
4 = -3/5(10) + b
4 = -6 + b, b = 10
Final equation: y = -3/5x + 10
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:
There are 36 possibilities per character (26 lower case letters + 10 numbers), so the total number of permutations are 36^4 = 1,679,616
Step-by-step explanation:
Trick question. For the reflections given in the problem statement, the x-coordinate doesn't change. The number that goes in the green box is 1.