If we draw a rhombus OABC on a coordinate grid with one vertex at the point O (0,0)
and let its height be 1 then (using the Pythagoras theorem) the coordinates of the 4 points will be as follows:-
O = (0,0) , A = (1, 1), B = (sqrt2+ 1 , 1) , C = (sqrt2, 0)
Slope of the diagonal OB = 1 / (sqrt2 + 1)
Slope of the other diagonal AC = - 1 / (sqrt2 - 1)
Product of the slopes = - 1 / ( sqrt2 + 1)(sqrt2 - 1) = -1 / 1 = -1
This proves that the diagonals are perpendicular.
From the attached graphic, Half-life = ln (.5) / k
Half-life =.693147 / <span>0.1142
= </span><span><span><span>6.0695884413
</span>
days
The value of "k" should be negative and should have units associated with it.
</span>
</span>
Answer:
Step-by-step explanation:
Given
Equations are
and 
take 

Put the value of y in another equation

Put the value of x in y

Hence,
Answer:
468
Step-by-step explanation:
Answer:
#6 is 17 days
Step-by-step explanation:
This is how I answered it
1) 2750 = 550 + 125x
2) subtract 550 from each side
2750-550=2200
so the left over equation is:
2200 = 125x
3) divide each side by 125 to get x by itself
2200÷125= 17.6
4) you are left with: x = 17 days