6 Factorise
x2 + 6x -7

(x+7)(x-1)

Step-by-step explanation:

x^2 + 6x -7

so here we need two number that give 7 when multiplied and 6 when subtracted

7 and 1 are the numbers because

7*1=7  and ,

7-1=6  so,

x^2 + (7-1)x -7

x^2 +7x -x -7

take common from first two terms and from third and fourth term

x(x+7)-1(x+7)

take (x+7) as common

(x+7)(x*1 -1*1)

(x+7)(x-1)

step-by-step explanation:

4tyuiuygsugv15167889997q669a

xcvb nm you ugly

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