Since this is a combination not a permutation problem, (order does not matter) you should use the "n choose k" formula.
C=n!/(k!(n-k)!) where C is the number of unique combinations, n equals the total number of possible choices and k equals the specific number of choices. In this case:
C=9!/(4!(9-4)!)
C=9!/(4!5!)
C=362880/(24*120)
C=362880/2880
C=126
So there are 126 unique ways to pick 4 people from a group of 9 people.
Answer:
GB = 15
Step-by-step explanation:
DC, EB and FA are the medians of the triangle.
The point G where the medians intersect is the centroid.
On each median the distance from the vertex to the centroid is twice as long as the distance from the centroid to the midpoint, hence
FG = 2GA, that is
5x = 2(x + 9)
5x = 2x + 18 ( subtract 2x from both sides )
3x = 18 ( divide both sides by 3 )
x = 6
Hence
GB = 2x + 3 = (2 × 6) + 3 = 12 + 3 = 15
Answer:
y = x - 6.
Step-by-step explanation:
Do the division:
x + 2 ) x^2 - 4x + 8 ( x - 6 <------- Quotient.
x^2 + 2x
-6x + 8
-6x - 12
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20
"y varies directly as x" means y = kx
you do not know what k is yet, other than that it is some constant number.
Now plug in the given values, y=12 when x=4, in the equation
12 = 4k
=> k = 3
Now rewrite the equation with the k value you just found
y = 3k
Substitute 18 in place of x
y = 3(18)
y = 54
Answer:
Not sure sorry,but can you please help me on the following:
Step-by-step explanation:
Length of a rectangle is 5 cm longer than the width. Four squares are constructed outside the rectangle such that each of the squares share one side with the rectangle. The total area of the constructed figure is 120 cm2. What is the perimeter of the rectangle?
