Which series of transformations will not map figure l onto itself?
a. (x + 1, y − 4), reflection over y = x − 4
b. (x − 4, y − 4), reflection over y = −x
c. (x + 3, y − 3), reflection over y = x − 4
d. (x + 4, y + 4), reflection over y = −x + 8

A. (x + 1, y − 4), reflection over y = x − 4

Step-by-step explanation:

You must perform all the composed transformations to spot the one in which the coordinates of the preimage and the image are not the same.

The coordinates of the preimage are A(0,1), B(3,4), C(5,2) , and D(2,-1)

Option A is a translation (x + 1, y − 4), followed by a reflection over y = x − 4.

Option B is a translation  (x − 4, y − 4), followed by a reflection over y = −x

Option C is a translation  (x +3, y − 3), followed by a reflection over y = x-4

Option D is a translation  (x +4, y + 4), followed by a reflection over y = −x+8

The correct choice is A.

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