distance between two points is [(x2-x1)^2 +(y2-y1)^2]^1/2
I.e,[{5-1)^2+(0-3)^2]^1/2
[16+9]^1/2
[25]^1/2
5
nCx⋅px⋅(1−p)n−x
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Answer:
a₆ ≈ 25.284
Step-by-step explanation:
There is a common ratio between consecutive terms , that is
8 ÷ 6 =
÷ 8 = 
This indicates the sequence is geometric with nth term
= a₁ 
where a₁ is the first term and r the common ratio
Here a₁ = 6 and r =
, then
a₆ = 6 ×
= 6 ×
=
≈ 25.284 ( to the nearest thousandth )
Answer:
vertex = (- 2, 6)
Step-by-step explanation:
Given f(x) then f(x + a) represents a horizontal translation of f(x)
• If a > 0 then a shift to the left of a units
• If a < 0 then a shift to the right of a units
Here a = 5 , thus a horizontal translation left by 5 units.
Thus
vertex of g(x) = (3 - 5, 6 ) = (- 2, 6 )
Answer:
48
Step-by-step explanation:
Here, the sides are in proportion.
⇒ 
⇒ 
⇒ k = 24 × 2
⇒ k = 48