Arectangle with width of 3. there is a vertical line that splits rectangle into two sections with different lengths. one length is x the other is 4. 3(x + 4) represents the area of the rectangle above. which expression below is equivalent by the distributive property? a. 3x+12 b. (3 + x) + 4 c. (x + 4) ⋅ 3 d. 3x + 4

A 3x+12

Step-by-step explanation:

this is the only answer that actually uses the distributive property.  

This can be shown:

3 can be multiplied by both x and 4 to get 3x+12 (which is using the distributive property)

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

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step-by-step explanation:

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