Yesterday karen went on a bike ride. her average speed was 10 mph. today she went on another ride this time averaging 12 mph. in the two days she biked for a combined total time of nine hours let xp the number of hours. let x be the number of hours she biked yesterday. write an expression for the combined total number of hours she biked in two days
step-by-step explanation: x is an even number. x+2 is the next even number, x+4 is the third even number in the set, x+6 is the fourth, x+8 is the fifth. x+x+2+x+4+x+6+x+8=100. so 5x+20=100. 100-20=5x+20-20. 80=5x. x=16.
z = a+bi
the modulus is the sqrt ( a^2 +b^2)
and the argument (i call it theta) is equal to arctan (b/a)
we have z = 3-3i
we are looking for the argument of z
theta = arctan (-3/3)
= -45 degrees
they don't like negative arguments so add 360 degrees to it. it is the same value, we just loop once around the circle.