jboy314

yep. No inequality symbol or equals sign means it is just an expression

It is an equation.  ANYTHING that has an "equals" sign is an equation

represent the numbers as n, n+1, and n+2 as this guarantees that they are consecutive.

Then n+(n+1)+(n+2)=108

3n+3=108

3n=105

n=35

They would love you to answer 35 but thats incorrect because they asked for the LARGEST number.  That is n+2 which is 37

when dividing by a fraction a common trick is to instead multiply by the reciprocal of that fraction as it is an equivalent result.  that means -10/(2/3)=-10(3/2)=-30/2=-15

Lets get a common denominator of 35 first

25/35-21/35=4/35

60 degrees above the negative x axis means that we are in quadrant 2 so our x component will be negative.  TO find the x component we use the cosine function as it represents x values.  Our calculation looks like

V_x=12cos60=6

deceleration and acceleration are exactly the same thing!  The only difference is that if you lose speed your resulting acceleration will be negative.  In your example

(8-25)/3=-17/3

2(9)+8=18+8=26

With that in mind go ahead and try number 2 for yourself.  If you post your working and/or questions here I'll check them for you!

1. There is a nifty little rule with radicals that goes as follows  sqrt(ab)=sqrt(a)sqrt(b)   it only works for positive values of a and b, but it is pretty rare that we are not looking for positive values so lets carry on.  As a quick example lets decompose sqrt(32)this way

Sqrt(32)=sqrt(16)sqrt(2)=4sqrt(2)  This will be useful for simplifying your original problem!

4 / sqrt(32)=4/(4sqrt(2))=1/sqrt(2)   It sure would be nice to leave it like this but we need to rationalize the denominator.  I'll multiply by a very sneaky form of 1, sqrt(2)/sqrt(2)

1sqrt(2)/sqrt(2)sqrt(2)   Please note that sqrt(2)sqrt(2)=2

so our final answer is sqrt(2)/2