For each point find the coordinates of the image point under a half turn about the origin a(3,0)
b(3,4)
c(-1,-4)
d(r, s)

see explanation

Step-by-step explanation:

Under a half turn about the origin

a point (x, y ) → (- x, - y ) , thus

(3, 0 ) → (- 3, 0 )

(3, 4 ) → (- 3, - 4 )

(- 1, - 4 ) → (1, 4 )

(r, s ) → (- r, - s )

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

whole numbers.

step-by-step explanation:

we are given the average monthly rainfall (in millimeters) model r(m) for the years 1900-2009 as a function of the month number m.

as we can see m is taken for the number of months for years 1900-2009.

we know that number of months can't be a negative number or decimal number or a fraction.

so, the number of months could be only positive whole numbers.

therefore, whole numbers is more appropriate for the domain of r.