The two lines graphed below are parallel. how many solutions are there to the system of equations

There are no solutions

Step-by-step explanation:

For a system of linear equations represented by parallel lines, there exists no solution to the system. Parallel have the same slope but different y-intercepts and as such they never intersect at any point. The graphical solution to a system of equations is given by the point of intersection of the lines, thus for parallel lines there are no solutions.

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