Graph the image of this triangle after a dilation with a scale factor of 2 centered at the origin. use the polygon tool to graph the triangle.

Dilation involves changing the size of a shape.

See attachment for the graph of the image

From the figure, the vertices of the triangle are:

The scale factor (k) is given as:

The coordinate of the image of the triangle is calculated using:

So, we have:

See attachment for the image of the dilation.

Read more about dilation at:

link

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