Which equation is the equation of a 10 cm radius circle with its center at (3, -6)? a. (x - 3)² + (y + 6)² = 100 b. (x - 3)² + (y + 6)² = 20 c. (x + 3)² + (y - 6)² = 20 d. (x + 3)² + (y - 6)² = 100

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step-by-step explanation:

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°

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