x=2y+3, so 3(2y+3)+4y=59 6y+9+4y=59 10y=50 ...
x/y - x^2 = 1 1/y - x/y^2 y' - 2x = 0 x/y^2 y' = 1/y - 2x y' = y^2/x (1/y - 2x) = y/x - 2y^2
cos(arctan(2)) = 1/√5 cos2x = 2cos^2(x)-1 so, cos(2arctan(2)) = 2*1/5 - 1 = -3/5
if the sisters earn x,y,z then z = 3/2 y x = 1/2 z x+y+z = 260 (x,y,z) = (60,80,120)
or, use google translate 46.500 = cuarenta e seis mil quinientos
#1. just change the sign of all the elements of A. #2. just multiply all the elements by 3.
assuming a heartbeat of 60/min, that's 86400 beats/day. 86400*0.06 = ? since the volume is given in ml units, but we're dealing with thousands of beats, I'd say 1 liter would be appropriate for the answer. as for gallons, just look up the conversion factor and mult...
line m has slope ∆y/∆x = (-2-5)/(-3-2) = 7/5 the perpendicular line's slope is the negative reciprocal, or -5/7
just divide all terms by -3 to get y all by itself.
College Algebra - incomplete