Simplify (write without the absolute value sign) the following questions: a) x +3 , if x >2
b) |x −3| , if x >5
c) |120+x| , if x < −120
d) |x −120| , if x < −120
e) |x −(−12)| , if x > −12
f) |x −(−12)| , if x < −12
g) |x −(−12)| , if x = −12
h) |x ÷3| , if x >0
i) |x ÷3| , if x <0
j) |x ÷3| , if x =0

intensity of the vector is v= √37 ≈ 6.08 units and make angle ∡α ≈ 9.46° with east direction

step-by-step explanation:

required vector is consists of the two componentsvx= 2+4=6 units   and vy= 1 unit and vx ⊥ vywe will use pythagorian theorem to find intensity of the vector vv∧2 = vx∧2 + vy∧2 => v = √vx∧2 + vy∧2 = √6∧2 + 1∧2 = √36+1 = √37 ≈ 6.08 unitsthe angle ∡α between vector and east direction we wil find with tanαtanα = 1/6 => α = arc tanα = arc 1/6 => α ≈ 9.46°

hope this

answer: i can’t tell you that

step-by-step explanation:

54.864 meters

step-by-step explanation:

answer4 to the second power is 16

and 4 to the third power is 64,