X+y=16
the sum of the squares is
x^2+y^2=sum
solve for y in first equation
x+y=16
y=16-x
subsitiute that for y in other equation
x^2+(16-x)^2=sum
x^2+x^2-32x+256=sum
2x^2-32x+256=sum
take derivitive to find the minimum value (or just find the vertex because the parabola opens up)
derivitive is
4x-32=derivitve of sum
the max/min is where the derivitive equals 0
4x-32=0
4x=32
x=8
at x=8
so then y=16-8=8
the smallest value then is 8^2+8^2=64+64=128
2017, 2029, 2041, 2053, 2065, 2077
Answer:
5/222
Step-by-step explanation:
you need to add all the cards together first
13 + 10 + 8 + 6 = 37
then you take out 1 card to find the first probability of the blue card (there are 6 blue cards out of 37)
so 6/37
that will be your first probability
then for the 2nd probability, you will have 1 less card grom the deck making it only 36 cards (after taking out the first one, there will be only 5 blue cards left)
making it 5/36
that will be the 2nd probability
then you multiply both these probabilities to find the answer
6/37 × 5/36 = 5/222
The answer is C because you can only roll an 8 with a show of 6 when you roll 6 and 1 which gives 7 and 6 and 2 which gives 8
