Answer:
Alison wins against Kevin by 0.93 s
Step-by-step explanation:
Alison covers the last 1/4 of the distance in 3 seconds, at a constant acceleration
, we have the following equation of motion

where s (m) is the total distance, ta = 3 s is the time


Similarly, Kevin overs the last 1/3 of the distance in 4 seconds, at a constant acceleration
, we have the following equation of motion:

tk = 4 s is the time


Since
we can conclude that
, so Alison would win.
The time it takes for Alison to cover the entire track



The time it takes for Kevin to cover the entire track



So Alison wins against Kevin by 6.93 - 6 = 0.93 s
This can be solved using a system of equations.

Subtract y from both sides.

Substitute:

Subtract 80 from both sides:

Divide both sides by 5:

Substitute.
Step-by-step explanation:
Recall the Ratio for tan
Tan(theta) = opposite / adjacent
Tan (x) = 9 / 5
solve for x (use Tan^-1(...) )
Answer:
20,9
Step-by-step explanation:
this is how I did=x=1st, y=2nd; x=4y-16 and x+y=29; thus 4y-16+y=29; 5y-16=29; 5y=45; y=45/5=9, once you know y=9, put in equation, 4y-16=×, (4*9)-16=x, 36-16=x, 20=x
Answer:
9x+2
Step-by-step explanation:
It's a simple problem, to find the perimeter, add a+b+c. In this case, it's with binomials, but it follows the same idea.
(2x+2)+(3x+1)+(4x-1)
2x+2+3x+1+4x-1
Combine like terms.
2x+3x+4x=9x
2+1-1=2
Left with 9x+2 as your perimeter binomial.