Which choice would transform the rectangle to quadrant IV? This shows a rectangle in the coordinate plane. А) rotate 180° clockwise about the origin +8 +7 +6 +5 B translate left 10 units +4 +2 © reflect over the y-axis +1 +2 +3 +4 +5 +6 +7 +8 1 reflect over the x-axis

reflect over the x-axis

Step-by-step explanation:

Transformation is the movement of  point from its initial location to a new location. Types of transformation is rotation, reflection, translation and dilation.

If a point A(x, y) is rotated 180° clockwise about the origin the new position would be A'(-x, -y)

If a point A(x, y) is reflected over the y-axis the new position would be A'(-x, y).

If a point A(x, y) is reflected over the x-axis the new position would be A'(x, -y)

If a point A(x, y) is translated a units left the new position would be A'(x-a, y).

The rectangle has points at (2, 2), (2, 5), (7,2), (7,5). If the rectangle is reflected over the x-axis the new position would be at (2, -2), (2, -5), (7, -2), (7, -5) which is at the fourth quadrant

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

it's equivalent, so we can say that its equal.

let's call the denominator x and the numerador is 18 less then denominator, x - 18.

multiply

2.x = 5.(x - 18)

2x = 5x - 90

90 = 5x - 2x

90 = 3x

x = 90/3

x = 30

so: