Astudent factors 3x2 – 12 to the following. 3(x2 – 4) which statement about 3(x2 – 4) is true? a. the expression is equivalent, and it is completely factored. / b. the expression is equivalent, but it is not completely factored./ c. the expression is not equivalent, but it is completely factored./ d. the expression is not equivalent, and it is not completely factored.

Option B is correct that is the expression is equivalent, but it is not completely  factored.

Step-by-step explanation:

We have given an expression

when we take the common factor out which is 3 from the expression we will get

This expression is equivalent but is not completely factored because the term

Hence, Option B is correct.

Option C and D are discarded because given factor is equivalent  

Option A is discarded  because expression is not completely factored.

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

126.66 m²

step-by-step explanation:

the pertinent area formula is a = πr², where r is the radius.

here, a = π(6.35 m)² = 40.32π, or approximately 126.66 m²