Given the graph of a circle and a line, how many solutions to the system of equations exist?

-no solutions
-one
-two
-three

First Option

Step-by-step explanation:

The number of solutions is given by the values in which the equation of the circumference is equal to the equation of the line.

In other passwords the number of solutions is equal to the number of times the line intersects or touches the circumference.

Notice in the graph that the line does not touch the circumference.

Therefore for this case there are no solution

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