All of the following are equivalent to 2(2a + b) + 8, except

C) 4(a + b + 2)

Step-by-step explanation:

In order to determine which equations is not equivalent to 2(2a + b) + 8, we need to solve the equation and match it with the options which are as follows:

A) 4a + 2b + 8

B) 2(2a + b + 4)

C) 4(a + b + 2)

D) 4a + 2(b + 4)

Therefore the equation, 2(2a + b) + 8 = 4a + 2b + 8

The first one 4a + 2b + 8 does match the equation mentioned in question.

The second one 2(2a + b + 4)  = 4a + 2b + 8, therefore this is also equivalent.

The third one 4(a + b + 2)  = 4a + 4b + 8. This one however is not equivalent to 2(2a + b) + 8 = 4a + 2b + 8.

The fourth one 4a + 2(b + 4) = 4a + 2b +8, this one is equivalent to 2(2a + b) + 8 = 4a + 2b + 8.

Hence, C) 4(a + b + 2)  is the only one that is not equivalent to the equation 2(2a + b) + 8

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

n=9

step-by-step explanation:

7 times a number = 7n

decreased by 13 = 7n-13

same as is =

5 times the number = 5n

increased by 5 = 5n+5

7n-13 = 5n+5

2n=18

n=9