Nicholas drew a triangle that had coordinates (1, –2), (4, –2), and (1, –4). he rotated the triangle 90 degrees clockwise about the origin. what are the coordinates of the new figure?

a)(–2, –1), (–2, –4), and (–4, –1)
b)(–1, –2), (–4, –2), and (–1, –4)
c)(–1, 2), (–4, 2), and (–1, 4)
d)(2, 1), (2, 4), and (4, 1)

ANSWER

A)(–2, –1), (–2, –4), and (–4, –1)

EXPLANATION

A rotation through an angle of 90° clockwise about the origin has the mapping,

This implies that,

Hence the new figure will have coordinates,

(–2, –1), (–2, –4), and (–4, –1)

The correct choice is A.

answer: the common difference is -0.10

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