Answer:
(9.5k + 12.7m -0.4n) cm
Step-by-step explanation:
(5.9k+9.3m) + (3.6k−3.9n) + (3.5n+3.4m) = 9.5k + 12.7m -0.4n
$1.25
you spent $6.25 on everybody ($20-$13.75)
and $6.25 divided by 5 is $1.25 :)
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1:3
If each side is x, the the perimeter is 3x. x/3x = 1/3
Completing the square gives
![\dfrac14x^2+bx+10=\dfrac14(x^2+4bx+40)=\dfrac14(x^2+4bx+4b^2+40-4b^2)](https://tex.z-dn.net/?f=%5Cdfrac14x%5E2%2Bbx%2B10%3D%5Cdfrac14%28x%5E2%2B4bx%2B40%29%3D%5Cdfrac14%28x%5E2%2B4bx%2B4b%5E2%2B40-4b%5E2%29)
![\implies\dfrac14x^2+bx+10=\dfrac14(x+2b)^2+10-b^2](https://tex.z-dn.net/?f=%5Cimplies%5Cdfrac14x%5E2%2Bbx%2B10%3D%5Cdfrac14%28x%2B2b%29%5E2%2B10-b%5E2)
At the point on the graph along the axis of symmetry, the squared term vanishes, so that when
, we have
. So
![6+2b=0\implies 2b=-6\implies\boxed{b=-3}](https://tex.z-dn.net/?f=6%2B2b%3D0%5Cimplies%202b%3D-6%5Cimplies%5Cboxed%7Bb%3D-3%7D)