Answer:
Multiples of 120 are 120, 240, 360, 480, 600, 720, 840 etc; Multiples of 150 are 150, 300, 450, 600, 750, 900 etc; Therefore, the least common multiple of 120 and 150 is 600.
Least common multiple (LCM) of 19600 and 19619 is 384532400.
52 lbs you get the answer by adding the two weights of the bags
Answer:
a = 1, b = 1
Step-by-step explanation:
Expand the right side and compare the coefficients of like terms on both sides, that is
right side
(x - a)² + b ← expand factor using FOIL
= x² - 2ax + a² + b
Compare to left side x² - 2x + 2
Compare the coefficients of the x- term
- 2a = - 2 ( divide both sides by - 2 )
a = 1
Compare the constant terms
a² + b = 2 ( substitute a = 1 )
1² + b = 2
1 + b = 2 ( subtract 1 from both sides )
b = 1
Thus a = 1, b = 1
Step-by-step explanation:
sec(x) = 1/cos(x)
cot(x) = cos(x)/sin(x)
sec is smaller than cot, if cos is negative (making sec negative) and sin is negative (making cot positive).
and that is true for the third quadrant.
which is pi < x < 3×pi/2
so, the third answer is right.
