if we were to place <5, 12> in standard position, so it'd be originating from 0,0, then the rise is 12 and the run is 5.
so any other vector that has a negative reciprocal slope to it, will then be perpendicular or "orthogonal" to it.
so... for example a parallel to <-12, 5> is say hmmm < -144, 60>, if you simplify that fraction, you'd end up with <-12, 5>, since all we did was multiply both coordinates by 12.
or using a unit vector for those above, then
Answer:
Step-by-step explanation:
The formula for the future value (FV) of an investment earning compound interest is
where
PV = the present value (PV) of the money invested
r = the annual interest rate expressed as a decimal fraction
t = the time in years
n = the number of compounding periods per year
Data:
FV = $7100
r = 8 % = 0.08
t = 7 yr
n = 2
Calculation:
The synodic month, or complete cycle of phases of the Moon as seen from Earth, averages 29.530588 mean solar days in length (i.e., 29 days 12 hours 44 minutes 3 seconds); because of perturbations in the Moon’s orbit, the lengths of all astronomical months vary slightly. The sidereal month is the time needed for the Moon to return to the same place against the background of the stars, 27.321661 days (i.e., 27 days 7 hours 43 minutes 12 seconds)
The answer for coordinates of M is (-2/5, -4/5), and the coordinates of N is (1/5, 1). Hope it help!
