John leaves his house to go to school. He walks 7 blocks north and then 4 blocks west. How far is John from his home?
round to nearest tenth

8.1 blocks from his house

Step-by-step explanation:

Draw it out,

You'll end up with a triangle with side a= 4 and b=7. What's left to find is the hypotenuse (the distance he is from his house).

Use pythagorean theorem (a^2 + b^2= C^2)

4^2 + 7^2= C^2

16 + 49 = C^2

65 = C^2

C= 8.06, round to 8.1

(n^3 - n)

= n(n-1)(n+1)

since it is divisible by 3 and 2 ,because it is a multiple 3 consecutive number

if, n-1 is odd then n+1 is also odd, then it is a multiple of 9

but if, n-1 is even then n+1 is also even, then it is a multiple of 4

so, largest multiple = max(9*2, 4*3) = max(18, 12) = 18

the function makes a strait line horizontally with no x intercept but a y intercept at 9.