3,6,9,12,15 5 groups of 3= 5x3=15
The information given is sufficient for this proof .
Slope of a line passing through x1 ,y1) and ( x2,y2) is given by the formula :
M = ( y2 - y1)/ ( x2-x1)
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Let us start finding the slope of line PQ
the given points are ( a,b) and ( c,d)
using the slope formula we get :
slope of line PQ = m= ( d-b) /( c-a)
Let us now try finidng slope of the another line P'Q'
It is passing through ( -b ,a) and (-d,c)
using the formula we get slope of P'Q' = m' = ( c-a) /( -d - -b)
m'= ( c-a) /( -d+b)
m'= ( c-a) / -( b-d Let us find the product of m and m' :
( d-b ) * ( c-a)
----------- ------------ = -1
(c-a) - ( b-d)
Because we got product of m and m' = -1 hence proved product of perpendicular lines are negative reciprocal of each other .
27.5
Just divide 330 and 12 because 1 dozen is 12!
Answer:
Step-by-step explanation:
Discussion.
Not directly. But the quadratic formula can do it. But that's not your question.
the factors you get must contain the factors for 1 which are 1 and - 1
These factors must add to - 5. There's no way that will happen with 1 and - 1 and you would be creative math if you tried to say that you could make one of the factors (x -1-1-1-1-1-1). That creates a whole new question.
Answer:
Option (C)
Step-by-step explanation:
To determine the population we use the formula,

Where
= final population
= Initial population
r = percentage growth
Now we substitute these values in the formula,


r = 1.0496 - 1
r = 0.0496
r = 0.05
Therefore, percentage growth of the population of Stark county is 5%.
Option (C). will be the answer.