Toby's school is 6 miles west of his house and 8 miles south of his friend ashley's house. every day, toby bicycles from his house to his school. after school, he bicycles from his school to ashley's house. before dinner, he bicycles home on a bike path that goes straight from ashley's house to his own house. how far does toby bicycle each day?

24 miles a day.

Step-by-step explanation:

He bikes 6 miles to school, plus the 8 miles to his friend's house, which is 14.

To go home, he bikes 10 miles directly home from his friend's house.

The path he takes forms a right triangle, where the path from Ashley's home to his own is the hypotenuse. To solve this, you have to use Pythagoras' theorem (a² + b² = c²), and the answer comes out to be 10.

So, you just add the 10 miles home to the 14 miles from earlier, and you get 24.

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

1 + (6 / x - 1)

step-by-step explanation:

divide using polynomial division.